View
267
Download
6
Category
Preview:
Citation preview
BERBASIS PENDEKATAN MATEMATIKA REALISTIK
KELAS VII SMP
OLEH :
TETTY N.S., S.Si., M.Pd. DEWI ANZELINA, S.Pd., M.Pd.
SEKOLAH MENENGAH TINGKAT PERTAMA 2018
TOPIK
BILANGAN
Lembar Aktivitas Siswa (LAS) ii
KATA PENGANTAR
Dengan diberlakukannya standar isi untuk satuan pendidikan menengah pertama, maka penulis menyusun Lembar Aktivitas Siswa (LAS) yang sesuai dengan tuntutan tersebut. Penulis bersyukur kepada Tuhan Yang Maha Esa, karena atas petunjukNya penulis mampu menyusun Lembar Aktivitas Siswa (LAS) matematika kelas VII SMP. Selain daripada itu penulis juga berterimakasih kepada DRPM Kementerian Riset dan Teknologi dan Pendidikan Tinggi yang telah mendukung dan membiayai pelaksanaan penelitian pada tahun 2018 sehingga Lembar Aktivitas Siswa (LAS) ini dapat disusun dengan baik.
Lembar Aktivitas Siswa (LAS) ini merupakan kumpulan dari masalah kontekstual yang akan diselesaikan dengan menerapkan langkah-langkah pemecahan masalah pada saat kegiatan belajar pada pembelajaran dengan pendekatan matematika realistik. Setelah menyelesaikan masalah atau latihan dalam Lembar Aktivitas Siswa (LAS) ini diharapkan peserta didik memperoleh pemahaman tentang konsep-konsep yang berkaitan dengan matematika. Kemampuan dasar untuk berpikir logis, kritis dan rasa ingin tahu memecahkan masalah sangat diharapkan dalam Lembar Aktivitas Siswa (LAS) ini. Selain itu diharapkan peserta didik memiliki kemampuan dan pengetahuan matematika yang dikaitkan dengan masalah kontekstual. Dalam penyusunan Lembar Aktivitas Siswa (LAS) ini, tentu masih ada kekurangannya sebagaimana tiada gading yang tak retak, maka kritik dan saran yang membangun dari semua pihak sangat diharapkan. Terimakasih. Penulis,
Lembar Aktivitas Siswa (LAS) iii
DAFTAR ISI
Hal.
KATA PENGANTAR…………………………………………………........................................ ii
DAFTAR ISI…………………………………………………………………………………………. iii
PETUNJUK PENGGUNAAN LAS…….……………………………………………………… iv
PETA KONSEP…………………………………………………………........................................ v
KEGIATAN BELAJAR-1………………………………..………………………………………… 1
KEGIATAN BELAJAR-2……………………………………..………………………………….... 20
KEGIATAN BELAJAR-3………………………………………………………………………….. 35
KEGIATAN BELAJAR-4………………………………………………………………………….. 57
KEGIATAN BELAJAR-5………………………………………………………………………….. 77
KEGIATAN BELAJAR-6………………………………………………………………………….. 98
KEGIATAN BELAJAR-7………………………………………………………………………….. 115
KEGIATAN BELAJAR-8………………………………………………………………………….. 134
DAFTAR PUSTAKA……………………………………………………………………………… 156
Lembar Aktivitas Siswa (LAS) iv
PETUNJUK PENGGUNAAN LAS
1. Selesaikan masalah dalam Lembar Aktivitas Siswa (LAS) ini dengan
cermat dan teliti.
2. Tulis penyelesaian atas masalah dalam Lembar Aktivitas Siswa ini pada
tempat yang telah disediakan.
3. Lembar Aktivitas Siswa ini sebagai salah satu sarana yang akan digunakan
dalam proses kegiatan pembelajaran dengan menerapkan langkah-
langkah dalam pembelajaran berbasis pendekatan matematika realistik
dengan menerapkan langkah-langkah pemecahan masalah yang akan
diterapkan untuk menyelesaiakan masalah pada setiap materi dalam
proses pembelajaran.
4. Dalam penyelesaian masalah dalam Lembar Aktivitas ini dapat dibantu
dengan buku referensi matematika dan dengan bantuan bimbingan guru.
5. Setiap masalah-masalah yang disajikan dalam Lembar Aktivitas Siswa ini
merupakan dasar yang akan menunjang penguasaan suatu konsep
matematika dan untuk mengukur sampai sejauh mana pengetahuan yang
anda miliki.
Lembar Aktivitas Siswa (LAS) v
PETA KONSEP
Mengurutkan dan Operasi Bilangan
Bilangan Rasional Bilangan Pangkat
Bilangan Bulat Bilangan Pecahan
Bilangan Bulat Negatif
Bilangan Cacah
Bilangan Nol
Bilangan Bulat Positif
Lembar Akivitas Kelas (LAS) 1
Indikator : Siswa diharapkan dapat memahami dan menyelesaikan masalah yang berhubungan dengan membandingkan bilangan bulat
Petunjuk !!
Diskusikanlah dengan temanmu dan
tuangkan idemu dengan menjawab
masalah yang
diberikan
Lembar Akivitas Kelas (LAS) 2
Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang
berhubungan dengan membandingkan bilangan bulat. Untuk lebih
memahaminya, mari kita selesaikan masalah yang disajikan berikut ini.
MASALAH 1.1
Terdapat lima orang anak yang diberi penomoran pada setiap anak
yang ditempelkan pada suatu kertas pada baju anak. Nama kelima
anak itu adalah Dian, Febri, Iwan, Grace, dan Anton yang berdiri
sesuai dengan gambar. Susunlah barisan kelima anak tersebut!
Gambar 1.1 Lima Anak yang Diberi Label Bilangan
KEGIATAN BELAJAR-1 MEMBANDINGKAN BILANGAN BULAT
Lembar Akivitas Kelas (LAS) 3
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
b. Bagaimana cara menentukan menyusun kelima anak tersebut?
Membuat
Perencanaan
Memahami masalah
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
Lembar Akivitas Kelas (LAS) 4
c. Susunlah barisan kelima anak tersebut?
d. Menurut Ana bahwa urutannya adalah Iwan, Dian, Anton, Grace, dan Febri.
Sementara menurut Dika urutan bilangan adalah Anton, Grace, Iwan, Dian,
dan Febri. Menurut anda pernyataan siapakah yang benar?
Melaksanakan
Rencana
Memeriksa
Kembali Hasil yang
Diperoleh
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
...........................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
...........................................................................................................
Lembar Akivitas Kelas (LAS) 5
a. Informasi apa yang bisa kamu peroleh dari informasi di atas!
MASALAH 1.2
Memahami
masalah
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Pada setiap hari senin, ibu Siska mengajar matematika di kelas VII-A
mulai les ke-5 sampai les ke-7. Pada saat mengajar, ibu Siska
melakukan suatu praktek menggunakan alat berupa huruf yaitu
dengan menunjukkan dua buah huruf yaitu huruf A dan B. Ibu Siska
bertanya kepada siswa jika seandainya huruf A dan B
melambangkan bilangan bulat yaitu A = 25 dan B = 9. Nyatakan
perbandingan kedua huruf tersebut?
Gambar 1.2 Ibu Siska Mengajar Menggunakan Alat Peraga
Lembar Akivitas Kelas (LAS) 6
b. Bagaimana cara membandingkan kedua huruf tersebut?
c. Nyatakanlah perbandingan kedua huruf tersebut?
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
Membuat
Perencanaan
Melaksanakan
Rencana
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
Lembar Akivitas Kelas (LAS) 7
d. Menurut Mila A lebih kecil daripada B. Sedangkan menurut Tesya B lebih
kecil daripada A. Menurut anda pernyataan siapakah yang benar?
Memeriksa
Kembali Hasil yang
Diperoleh
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
.........................................................................................................................
Terdapat 2 buah bilangan bulat negatif yaitu C dan D. Bilangan C
tersusun atas 2 angka sedangkan bilangan D tersusun atas 3 angka.
Tentukan manakah bilangan yang lebih besar!
Gambar 1.3 Huruf C dan D
MASALAH 1.3
Lembar Akivitas Kelas (LAS) 8
a. Informasi apa yang bisa kamu peroleh dari informasi di atas!
b. Bagaimana cara membandingkan kedua huruf tersebut?
c. Bilangan manakah yang lebih besar dan yang lebih kecil?
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
Membuat
Perencanaan
Melaksanakan
Rencana
Memahami
masalah
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 9
d. Menurut Kiki bahwa bilangan C lebih besar dari pada bilangan D.
Sementara menurut Lala bilangan C lebih kecil daripada bilangan D.
Menurut anda pernyataan siapakah yang benar?
Memeriksa
Kembali Hasil yang
Diperoleh
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 10
MEMECAHKAN SOAL LATIHAN
Latihan 1
1. Ani sedang mengerjakan tugas matematika yang diberikan oleh Ibu Guru.
Berikut adalah salah satu soal tugas matematika yaitu dengan
membandingkan kedua suhu yaitu -5°C dan -3°C. Manakah suhu yang
lebih tinggi?
Gambar 1.4 Ani Sedang Berpikir
a. Informasi apa yang kamu dari hal tersebut?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 11
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara menentukan suhu yang lebih tinggi?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Tentukanlah suhu yang lebih tinggi?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Mia -50C adalah suhu yang lebih tinggi. Sedangkan menurut Pita -
30C adalah suhu yang lebih tinggi! Menurut anda pernyataan siapakah
yang benar? Berikan alasanmu!
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 12
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
2. Budi sedang bermain dengan kotak-kotaknya. Pada setiap kotak sudah
dituliskan angka. Dia hendak menyusun kotak tersebut sejajar memanjang
ke samping kanan sesuai dengan urutannya. Tentukan urutan yang benar
dari bilangan terkecil sampai bilangan terbesar dari bilangan-bilangan
yang ada pada gambar berikut!Tentukan urutan yang benar dari bilangan-
bilangan berikut ini:
Gambar 1.5 Budi Sedang Bermain Kotak-Kotak
a. Informasi apa yang kamu peroleh dari data di atas!
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 13
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara menentukan urutan yang benar?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Dari bilangan-bilangan tersebut, tentukan urutan yang benar?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 14
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Dina bahwa urutan yang benar adalah 30, 20, 10, 0, -5, -10, -25.
Sedangan menurut Aini -25, -10, -5, 0, 10, 20, 30. Menurut kamu manakah
pernyataan yang benar? Jelaskan!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
3. Pak Adri dan Pak Beni adalah peternak ayam di desanya. Saat musim
panen Pak Adri berhasil memanen 231.475 ekor ayam sedangkan Pak
Beni berhasil memanen 131.574 ekor ayam. Siapakah yang memanen
ayam paling banyak?
Gambar 1.6 Ternak Ayam Pak Adri dan Pak Beni
Penyelesaian:
Lembar Akivitas Kelas (LAS) 15
a. Informasi apa yang kamu peroleh dari data di atas!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara mengetahui siapakah yang memanen ayam paling
banyak?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Tentukanlah siapakah yang memanen ayam paling banyak!
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 16
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Tina bahwa yang memanen ayam paling banyak adalah Pak Adri.
Sedangkan menurut Lina bahwa yang memiliki bilangan yang lebih besar
adalah Pak Beni. Menurut kamu, siapakah yang paling benar? Berikan
alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
4. Amin dan Budi menyembunyikan dua buah bilangan berbeda. Amin
mengatakan bahwa bilangannya terdiri dari 3 angka dengan susunan abc.
Sedangkan Budi mengatakan bahwa bilangannya terdiri dari 4 angka
dengan susunan abcd. Tentukan siapakah yang memiliki bilangan lebih
Penyelesaian:
Lembar Akivitas Kelas (LAS) 17
besar jika kedua bilangan yang dimiliki oleh Amin dan Budi adalah
bilangan positif bilangan pertama tidak bernilai nol!
Gambar 1.7 Amin dan Budi Menyembunyikan Dua Bilangan Berbeda
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara mengetahui siapakah yang memanen ayam paling
banyak?
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 18
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Tentukanlah siapakah yang memanen ayam paling banyak!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Tina bahwa yang memanen ayam paling banyak adalah Amin.
Sedangkan menurut Lina bahwa yang memiliki bilangan yang lebih besar
Penyelesaian:
Lembar Akivitas Kelas (LAS) 19
adalah Budi. Menurut kamu, siapakah yang paling benar? Berikan
alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Orang-orang yang sukses selalu berpikir dulu
baru bertindak; tapi orang-orang yang gagal
bertindak dulu baru berpikir
Penyelesaian:
Lembar Akivitas Kelas (LAS) 20
Petunjuk !!
Diskusikanlah dengan temanmu
dan tuangkan idemu dengan menjawab
masalah yang
diberikan
Indikator : Siswa diharapkan dapat memahami dan menyelesaikan masalah yang berhubungan dengan operasi penjumlahan dan pengurangan bilangan bulat.
Lembar Akivitas Kelas (LAS) 21
Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang
berhubungan dengan operasi penjumlahan dan pengurangan bilangan bulat.
Untuk lebih memahaminya, Mari kita selesaikan masalah yang disajikan
berikut ini.
MASALAH 2.1
Sebuah kantor berlantai 20 mempunyai 3 lantai berada di bawah
tanah. Seorang karyawan mula-mula berada di lantai 2 kantor itu.
Karena ada suatu keperluan, ia turun 4 lantai, kemudian naik 6
lantai. Di lantai berapakah karyawan itu sekarang berada?
Gambar 2.1 Seorang Karyawan Berada Dalam Lift
KEGIATAN BELAJAR-2 OPERASI PENJUMLAHAN DAN
PENGURANGAN BILANGAN BULAT
Lembar Akivitas Kelas (LAS) 22
a. Informasi apa yang kamu peroleh dari masalah di atas!
b. Bagaimana cara mengetahui keberadaan karyawan tersebut?
Membuat
Perencanaan
Memahami
masalah
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
Lembar Akivitas Kelas (LAS) 23
c. Tentukanlah di lantai berapa karyawan itu berada?
d. Menurut Citra karyawan tersebut sekarang berada di lantai 2. Sedangkan
menurut Fitri karyawan tersebut sekarang berada di lantai 4. Menurut
kamu, siapakah yang paling benar? Berikan alasanmu!
Melaksanakan
Rencana
Memeriksa Kembali Hasil
yang Diperoleh
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 24
a. Informasi apa yang dapat diperoleh dari masalah di atas!
MASALAH 2.2
Memahami masalah
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
Dalam suatu permainan ditentukan nilai tertinggi adalah 100, dan
dalam permainan tersebut dimungkinkan seorang pemain
memperoleh nilai negatif. Untuk 6 kali bermain seorang pemain
memperoleh nilai berturut-turut –75, 80, –40, 50, 90, dan –35.
Hitunglah jumlah nilai pemain tersebut!
Gambar 2.2 Skor Pada Suatu Permainan
Lembar Akivitas Kelas (LAS) 25
b. Bagaimana cara menghitung jumlah nilai pemain tersebut!
c. Hitunglah jumlah nilai pemain tersebut!
Membuat
Perencanaan
Melaksanakan
Rencana
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
Lembar Akivitas Kelas (LAS) 26
d. Menurut Mira nilai jumlah pemain tersebut adalah 70. Sedangkan menurut
Siska nilai jumlah pemain tersebut adalah 80. Menurut kamu, siapakah
yang paling benar? Berikan alasanmu!
Memeriksa
Kembali Hasil yang
Diperoleh
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 27
MEMECAHKAN SOAL LATIHAN
Latihan 2
1. Ibu Murni setiap bulan mendapat gaji sebesar Rp 2.500.000,-. Ia diberi
uang tambahan dari suaminya sebesar Rp 3.000.000,- per bulan.
Dibutuhkan Rp 1.000.000,- untuk uang belanja per bulan. Uang kesehatan
Rp 500.000,- dan 1.000.000,- untuk di tabung. Sisanya digunakan untuk
keperluan uang sekolah dari ke-3 anaknya. Berapakah besar keperluan
ketiga anaknya?
Gambar 2.3 Ibu Murni Diberi Uang oleh Suaminya
a. Informasi apa yang kamu peroleh dari masalah di atas!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 28
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara mengetahui berapa besar keperluan ketiga anak ibu Murni?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Hitunglah besarnya keperluan ketiga anak Ibu Murni!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 29
d. Menurut Rudi besar keperluan uang sekolah ketiga anak Ibu Murni adalah Rp.
3.000.000,-. Sedangkan menurut Bayu sebesar Rp. 4.000.000,-. Menurut
kamu, siapakah yang benar? Berikan alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
2. Kecepatan perahu motor pada air tenang adalah 25 km per jam. Bila
perahu bergerak pada sungai yang kecepatan arusnya 5 km per jam,
hitunglah kecepatan perahu motor jika bergerak dengan cara mengikuti
arus air dan melawan arus air.
Gambar 2.4 Perahu Motor Sedang Berlayar
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 30
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara mengetahui kecepatan perahu motor jika bergerak
dengan cara mengikuti arus air dan melawan arus air?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Hitunglah kecepatan perahu motor jika bergerak dengan cara mengikuti
arus air dan melawan arus air?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 31
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Tina kecepatan perahu motor jika mengikuti arus air dan
melawan arus air adalah 20 km per jam dan 30 km per jam. Sedangkan
menurut Dika kecepatan perahu motor jika mengikuti arus air dan
melawan arus air adalah 30 km per jam dan 20 km per jam. Menurut
kamu, siapakah yang paling benar? Berikan alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
3. Suhu di dalam kulkas -20C. Pada saat mati lampu, suhu di dalam kulkas
naik 30C setiap 4 menit. Pada suhu berapa derajatkah lampu mati selama 8
menit?
Penyelesaian:
Lembar Akivitas Kelas (LAS) 32
Gambar 2.5 Kulkas Satu Pintu
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara mengetahui besarnya derajat suhu ketika lampu mati
selama 8 menit?
Penyelesaian:
Lembar Akivitas Kelas (LAS) 33
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Hitunglah derajat suhu ketika lampu mati selama 8 menit?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Lia besar derajat suhu ketika lampu mati selama 8 menit adalah
40C. Sedangkan menurut Vina besarnya derajat suhu ketika lampu mati
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 34
selama 8 menit adalah 80C. Menurut kamu, siapakah yang benar? Berikan
alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Orang-orang yang sukses selalu
cermat dalam bekerja, tapi orang-
orang yang gagal selalu ceroboh.
Penyelesaian:
Lembar Akivitas Kelas (LAS) 35
Indikator :
Siswa diharapkan dapat memahami dan
menyelesaikan masalah yang
berhubungan dengan operasi perkalian
dan pembagian bilangan bulat.
Petunjuk !!
Diskusikanlah dengan temanmu
dan tuangkan idemu dengan
menjawab masalah
yang diberikan
Lembar Akivitas Kelas (LAS) 36
Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang
berhubungan dengan operasi perkalian dan pembagian bilangan bulat. Untuk lebih
memahaminya, Mari kita selesaikan masalah yang disajikan berikut ini.
MASALAH 3.1
Dalam suatu ujian, penilaian ditentukan dengan ketentuan sebagai
berikut.
– Jawaban benar diberikan nilai 3.
– Jawaban salah diberikan nilai –1.
– Untuk soal yang tidak dijawab diberikan nilai 0.
Dari 100 soal, seorang peserta menjawab 95 soal dan 78 di
antaranya dijawab dengan benar. Tentukan nilai yang diperoleh
peserta tersebut.
Gambar 3.1 Peserta Ujian
KEGIATAN BELAJAR-3 OPERASI PERKALIAN DAN
PEMBAGIAN BILANGAN BULAT
Lembar Akivitas Kelas (LAS) 37
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
b. Bagaimana cara menentukan nilai yang diperoleh peserta tersebut?
B. Hitunglah besar perbandingan antara jumlah siswa perempuan dan jumlah
siswa laki-laki terhadap jumlah seluruh siswa?
Membuat
Perencanaan
Melaksanakan
Rencana
Memahami
masalah
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
Lembar Akivitas Kelas (LAS) 38
c. Hitunglah nilai yang diperoleh peserta tersebut!
d. Menurut Boy nilai yang diperoleh perserta tersebut adalah 217. Sedangkan
menurut Kiki nilai yang diperoleh peserta tersebut adalah 212. Menurut kamu,
siapakah yang paling benar? Berikan alasanmu.
Memeriksa
Kembali Hasil yang
Diperoleh
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Melaksanakan
Rencana
Lembar Akivitas Kelas (LAS) 39
\
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
MASALAH 3.2
Memahami
masalah
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
Seorang pedagang buah membeli 10 kg Apel dengan harga
Rp.20.000,-/kg. Dengan 10 kg apel tersebut beliau ingin menjual
kembali dengan keuntungan sebesar Rp.100.000,-. Berapakah harga
jual/kg nya?
Gambar 3.2 Pedagang Apel di Pasar
Lembar Akivitas Kelas (LAS) 40
b. Bagaimana cara mengetahui harga jual/kg?
e. Hitunglah harga jual/kg!
c. Hitunglah harga jual/kg?
Membuat
Perencanaan
Melaksanakan
Rencana
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
........................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
Lembar Akivitas Kelas (LAS) 41
d. Menurut Musa harga jual tiap kg adalah Rp. 30.000.000,- Sedangkan menurut
Melisa harga jual tiap kg adalah Rp. 40.000.000,- Menurut kamu, siapakah
yang benar? Berikan alasanmu!
Memeriksa
Kembali Hasil yang
Diperoleh
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 42
MEMECAHKAN SOAL LATIHAN
Latihan 3 1. Dalam suatu ujian dengan jumlah soal 50, jawaban yang benar diberi nilai
2, jawaban yang salah diberi nilai -1, dan soal yang tidak terjawab diberi
nilai 0. Dalam ujian itu, seorang siswa menjawab soal dengan benar
sebanyak 42 soal dan sebanyak 5 soal tidak terjawab. Berapa nilai yang
diperoleh siswa tersebut?
Gambar 3.4 Guru Sedang Mengawas Siswa Lagi Ujian
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 43
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
...........................................................................................................................
b. Bagaimana cara menilai siswa tersebut!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Hitunglah nilai yang diperoleh siswa tersebut!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 44
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Bakti nilai yang diperoleh siswa tersebut adalah 84. Sedangkan
menurut Ratna nilai yang diperoleh siswa tersebut adalah 81. Menurut
kamu, siapakah yang benar? Berikan alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
2. Seekor katak dapat melompat dengan jarak rata-rata tiap lompatan 25 cm.
Jika katak tersebut menyeberangi empang yang lebarnya 5 meter, berapa
kali katak itu harus melompat dari tepi empang yang satu sampai di tepi
empang yang dituju?
Penyelesaian:
Lembar Akivitas Kelas (LAS) 45
Gambar 3.5 Seekor Katak Melompat
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 46
b. Bagaimana cara mengetahui frekuensi katak tersebut melompat dari empang
yang satu sampai di tepi empang yang dituju?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Hitunglah frekuensi katak tersebut melompat dari empang yang satu sampai ke
tepi empang yang dituju?
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………….....
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 47
d. Menurut Dewi frekuensi katak tersebut melompat adalah sebanyak 20
kali. Sedangkan menurut Dini frekuensi katak tersebut melompat adalah
sebanyak 5 kali. Menurut kamu, siapakah yang benar? Berikan alasanmu!
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
3. Tabel berikut menunjukkan banyak soal yang dijawab oleh peserta tes
dengan banyak soal seluruhnya 50.
Nama Siswa Banyak Jawaban
Benar Banyak Jawaban
Salah Siska 37 5
Puput 40 4
Kresna 38 7
Jika tiap jawaban benar diberi nilai 1, jawaban salah diberi nilai -1, dan
soal yang tidak terjawab diberi nilai 0, tentukan nilai tertinggi dan nilai
terendah yang diperoleh siswa.
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 48
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………................................
…………………………………………………………………………………………………………………………………
b. Bagaimana cara mengetahui nilai tertinggi dan nilai terendah!
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
c. Tentukan nilai tertinggi dan nilai terendah yang diperoleh siswa tersebut?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
……………………………………………………………………………………………………………..................…
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 49
d. Menurut Vera nilai tertinggi dan nilai terendah yang diperoleh siswa tersebut
adalah 36 dan 31. Sedangkan menurut Lidia nilai tertinggi dan nilai terendah
yang diperoleh siswa tersebut adalah 37 dan 32. Menurut kamu, siapakah yang
benar? Berikan alasanmu!
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
4. Sebanyak 855 kantong pasir akan diangkut oleh 9 bis. Jika muatan setiap
bis sama, berapa kantong muatan tiap bis?
Gambar 3.6 Bis Pengangkut Kantong Pasir
Penyelesaian:
Lembar Akivitas Kelas (LAS) 50
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
b. Bagaimana cara mengetahui banyaknya kantong muatan tiap bis?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
c. Hitunglah berapa banyak kantong muatan untuk 10 bis?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
Penyelesaian:
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 51
d. Menurut Glory banyaknya kantong muatan tiap bis adalah 85. Sedangkan
menurut Ira banyaknya kantong tiap bis adalah 95. Menurut kamu,
siapakah yang benar? Berikan alasanmu!
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
5. Murid sebuah SMP ada 287 orang. Jumlah murid di setiap kelas sama
banyak. Berapa orang murid di setiap kelas jika terdapat 7 kelas?
Gambar 3.7 Sejumlah Murid SMP Sedang Berbaris Di Halaman
Penyelesaian:
Lembar Akivitas Kelas (LAS) 52
a. Informasi apa yang bisa kita peroleh dari masalah di atas?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
b. Bagaimana cara mengetahui banyak murid tiap kelas?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 53
c. Tentukanlah banyak murid tiap kelas?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
d. Menurut Reni banyak murid tiap kelas adalah 41. Sedangkan menurut Vivi
banyak murid tiap kelas adalah 51. Menurut kamu, siapakah yang benar?
Berikan alasanmu!
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 54
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
6. Sebanyak 540 jeruk akan dimasukkan ke dalam kantong. Setiap kantong
berisi 12 jeruk. Berapa kantong yang diperlukan?
Gambar 3.8 Sekumpulan Jeruk
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
Penyelesaian:
Lembar Akivitas Kelas (LAS) 55
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
b. Bagaimana cara mengetahui banyaknya kantong yang diperlukan?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
c. Hitunglah berapa banyaknya kantong yang diperlukan?
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 56
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
d. Menurut Kiki banyaknya kantong yang diperlukan sebanyak 55.
Sedangkan menurut Winda banyaknya kantong yang diperlukan sebanyak
45. Menurut kamu, siapakah yang benar? Berikan alasanmu!
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
Penyelesaian:
Lembar Akivitas Kelas (LAS) 57
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
Orang-orang yang sukses selalu
cermat dalam bekerja, tapi orang-
orang yang gagal selalu ceroboh.
Lembar Akivitas Kelas (LAS) 58
Indikator :
Siswa diharapkan dapat
memahami dan menyelesaikan
masalah yang berhubungan
dengan membandingkan
bilangan pecahan
Petunjuk !!
Diskusikanlah dengan temanmu
dan tuangkan idemu dengan menjawab masalah atau soal
yang diberikan
Lembar Akivitas Kelas (LAS) 59
Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang
berhubungan dengan membandingkan bilangan pecahan. Untuk lebih
memahaminya, Mari kita selesaikan masalah yang disajikan berikut ini.
MASALAH 4.1
Keisha mempunyai sebuah apel yang akan dimakan dengan 3 orang
temannya. Tentukanlah berapa bagian masing-masing orang mendapat
apel?
Gambar 4.1 Seorang Anak Memegang Apel
KEGIATAN BELAJAR-4 MEMBANDINGKAN BILANGAN PECAHAN
Lembar Akivitas Kelas (LAS) 60
a. Informasi apa yang kamu peroleh dari masalah di atas!
b. Bagaimana cara agar masing-masing orang mendapat bagian yang sama?
Membuat
Perencanaan
Memahami
masalah
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
Lembar Akivitas Kelas (LAS) 61
c. Hitunglah berapa bagian masing-masing orang yang mendapat apel?
d. Menurut Denny banyak bagian masing-masing orang adalah4
1 bagian.
Sedangkan menurut Harry banyak bagian masing-masing orang adalah 4.
Menurut kamu, siapakah yang paling benar? Berikan alasanmu!
Melaksanakan
Rencana
Memeriksa
Kembali Hasil yang
Diperoleh
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 62
a. Tuliskanlah apa yang diketahui dan yang ditanya dari informasi di atas!
MASALAH 4.2
Memahami
masalah
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
Bu Dita mempunyai sebutir telur rebus yang akan diberikan kepada 2
orang anaknya. Berapa bagian yang sama yang didapat masing-masing
anak?
Gambar 4.2 Seorang Ibu sedang Menguliti Sebutir Telur
Lembar Akivitas Kelas (LAS) 63
b. Bagaimana cara agar masing-masing anak mendapat bagian yang sama?
c. Hitunglah berapa bagian masing-masing anak?
Membuat
Perencanaan
Melaksanakan
Rencana
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
Lembar Akivitas Kelas (LAS) 64
d. Menurut Mahmut masing-masing anak mendapat 2 bagian. Sedangkan
menurut Krisna masing-masing anak mendapat 2
1 bagian. Menurut kamu,
siapakah yang benar? Berikan alasanmu!
Memeriksa Kembali Hasil
yang Diperoleh
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
Di suatu sekolah diadakan pemilihan ketua OSIS dan diperoleh hasil
sebagai berikut:
1/3 dari siswa-siswi di sekolah memilih calon I.
2/7 dari siswa-siswi di sekolah memilih calon II.
Berdasarkan hasil tersebut, calon manakah yang lebih banyak
pemilihnya?
Gambar 4.3 Pemilihan Ketua Osis
MASALAH 4.3
Lembar Akivitas Kelas (LAS) 65
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
b. Sajikanlah informasi tersebut dalam tabel!
Membuat
Perencanaan
Memahami
masalah
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
Lembar Akivitas Kelas (LAS) 66
c. Tentukan calon mana yang banyak pemilihnya?
d. Menurut Ririn calon I lebih banyak pemilihnya. Sedangkan menurut Cici
calon II lebih banyak pemilihnya.. Menurut kamu, siapakah yang benar?
Berikan alasanmu!
Melaksanakan
Rencana
Memeriksa Kembali Hasil
yang Diperoleh
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
................................................................................................................
Lembar Akivitas Kelas (LAS) 67
MEMECAHKAN SOAL LATIHAN
Latihan 4
1. Di dalam tas terdapat 3 kg gula untuk membuat 2 botol sirup. Berapa kg gula
yang diperlukan masing-masing botol sirup?
Gambar 4.4 Gula dan Botol
a. Informasi apa yang kamu peroleh dari masalah di atas?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 68
b. Bagaimana cara agar setiap botol sirup memperoleh takaran gula yang
sama?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Hitunglah berapa kg gula kah yang diperlukan masing-masing botol sirup?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 69
d. Menurut Jenny banyak gula yang dibutuhkan adalah 1,5 kg per botol
sirup. Sedangkan menurut Nina banyak gula yang dibutuhkan adalah 2 kg
per botol sirup. Menurut kamu, siapakah yang paling benar? Berikan
alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
2. Pak Budi mempunyai sawah yang luasnya 3 hektar. Sementara Pak Candra
mempunyai sawah yang luasnya 2/3 dari luas sawah pak Budi. Sementara
Pak Samsul mempunyai sawah yang luasnya 1/8 dari luas sawah pak Budi.
Siapakah dari antara Pak Candra dan Pak Samsul yang mempunyai sawah
yang luasnya lebih sedikit?
Gambar 4.5 Sawah Pak Budi dan Pak Candra
Penyelesaian:
Lembar Akivitas Kelas (LAS) 70
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara mengetahui luas sawah yang lebih luas?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Tentukanlah sawah siapa yang luasnya lebih sedikit?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 71
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Gabriel luas sawah pak Candra lebih sedikit dari luas sawah pak
Samsul. Sedangkan menurut Jenni luas sawah pak Samsul lebih sedikit
dari luas sawah pak Samsul. Menurut kamu, siapakah yang paling benar?
Berikan alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 72
3. Pak RT memiliki 2 kolam ikan, ia memanen kolam-kolam tersebut. Kolam
pertama mendapat hasil sebanyak 8
7ton dan kolam kedua 0,75 ton. Kolam
manakah yang memanen ikan paling banyak?
Gambar 4.6 Kolam Ikan
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 73
b. Bagaimana cara mengetahui kolam manakah yang memanen ikan lebih
banyak?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
c. Tentukanlah kolam mana yang memanen ikan paling banyak?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 74
d. Menurut Lenni kolam pertama mendapat ikan yang paling banyak
daripada kolam kedua. Sedangkan menurut Ani kolam kedua mendapat
ikan paling banyak daripada kolam kedua. Menurut kamu, siapakah yang
paling benar? Berikan alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
4. Hadi, Wahyu dan Anto berangkat ke sekolah dengan berjalan kaki. Waktu
yang dibutuhkan Hadi untuk berjalan kaki dari rumah ke sekolah adalah
6
1 jam. Wahyu membutuhkan waktu
4
1jam dan Anto membutuhkan
waktu 3
2jam. Tuliskan urutan siswa yang lama sampai di sekolah!
Gambar 4.7 Hadi, Wahyu dan Anton Berjalan Kaki
Berangkat Ke Sekolah
Penyelesaian:
Lembar Akivitas Kelas (LAS) 75
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
b. Bagaimana cara mengetahui urutan siswa yang lama sampai di sekolah?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 76
c. Tentukanlah urutan siswa yang lama sampai di sekolah?
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
d. Menurut Didin urutan siswa yang lama sampai di sekolah adalah Anto,
Wahyu, dan Hadi. Sedangkan menurut Alberto urutan siswa yang lama
sampai di sekolah adalah Hadi, Wahyu, dan Anto. Menurut kamu, siapakah
yang paling benar? Berikan alasanmu!
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 77
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
....................................................................................................................................
.
Orang-orang yang sukses selalu
berpikir dulu baru bertindak; tapi
orang-orang yang gagal bertindak
dulu baru berpikir
Lembar Akivitas Kelas (LAS) 78
Indikator :
Siswa diharapkan dapat
memahami dan menyelesaikan
masalah yang berhubungan
dengan penjumlahan dan
pengurangan bilangan
pecahan.
Petunjuk !!
Diskusikanlah dengan temanmu
dan tuangkan idemu dengan menjawab masalah atau soal
yang diberikan
Lembar Akivitas Kelas (LAS) 79
Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang
berhubungan dengan penjumlahan dan pengurangan bilangan pecahan.
Untuk lebih memahaminya, Mari kita selesaikan masalah yang disajikan
berikut ini.
MASALAH 5.1
Ahmad dan Beno harus menyelesaikan suatu proyek dalam jangka
waktu yang sudah ditentukan. Oleh karena itu, pekerjaan tersebut
akan dibagi menurut kemampuan masing-masing. Ahmad
menyelesaikan 3/8 bagian, Beno menyelesaikan 1/4 bagian.
Tentukan jumlah bagian yang dikerjakan oleh Ahmad dan Beno!
Gambar 5.1 Ahmad dan Beno Sedang Bekerja di Proyek
KEGIATAN BELAJAR-5 PENJUMLAHAN DAN PENGURANGAN
BILANGAN PECAHAN
Lembar Akivitas Kelas (LAS) 80
a. Informasi apa Informasi apa yang bisa kamu peroleh dari masalah di atas?
b. Bagaimana cara menjumlahkan bagian yang dikerjakan oleh Ahmad dan
Beno?
Membuat
Perencanaan
Memahami masalah
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
Lembar Akivitas Kelas (LAS) 81
c. Tentukanlah jumlah bagian yang dikerjakan oleh Ahmad dan Beno?
d. Menurut Riko jumlah bagian yang dikerjakan oleh Ahmad dan Beno adalah
8
5 bagian. Sedangkan menurut Rahmad adalah
12
4 bagian. Menurut kamu,
siapakah yang benar? Berikan alasanmu!
Melaksanakan
Rencana
Memeriksa
Kembali Hasil yang
Diperoleh
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
Lembar Akivitas Kelas (LAS) 82
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
MASALAH 5.2
Memahami
masalah
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Tuti membawa selayang kue bolu ke sekolahnya untuk dibagi-bagi
di kelasnya pada saat ulang tahunnya. Pembagiannya seperti
berikut, untuk gurunya 1/6 bagian, untuk siswa perempuan 5/8
bagian dan sisanya untuk siswa laki-laki. Tentukanlah bagian kue
untuk siswa laki-laki!
Gambar 5.2 Acara Ulang Tahun Tuti di Kelas
Bersama Teman dan Gurunya
Lembar Akivitas Kelas (LAS) 83
b. Bagaimana cara menentukan bagian kue untuk siswa laki-laki?
c. Tentukanlah bagian kue untuk siswa laki-laki?
Membuat
Perencanaan
Melaksanakan
Rencana
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
Lembar Akivitas Kelas (LAS) 84
d. Menurut Riko jumlah bagian yang dikerjakan oleh Ahmad dan Beno adalah
8
5 bagian. Sedangkan menurut Rahmad adalah
24
5 bagian. Menurut kamu,
siapakah yang benar? Berikan alasanmu!
Memeriksa
Kembali Hasil yang
Diperoleh
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
MASALAH 5.3
Pak Togar seorang karyawan di sebuah perusahaan. Setiap bulan ia
menerima gaji Rp. 840.000,00. Dari gaji tersebut 1/3 bagian
digunakan untuk kebutuhan rumah tangga, 1/5 bagian untuk
membayar pajak, 1/4 bagian untuk biaya pendidikan anak, dan
sisanya ditabung. Berapa bagiankah uang Pak Togar yang ditabung?
Gambar 5.3 Pak Togar Sedang Menulis Rincian Biaya
Lembar Akivitas Kelas (LAS) 85
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
b. Bagaimana cara menentukan bagian uang Pak Togar yang ditabung?
Membuat
Perencanaan
Memahami
masalah
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
Lembar Akivitas Kelas (LAS) 86
c. Hitunglah berapa bagian uang Pak Togar yang ditabung?
d. Menurut Noni uang yang ditabung Pak Togar ada 60
13 bagian. Sedangkan
menurut Bima adalah 12
3. Menurut kamu, siapakah yang benar?
Melaksanakan
Rencana
Memeriksa
Kembali Hasil yang
Diperoleh
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 87
MEMECAHKAN SOAL LATIHAN
Latihan 5
1. Kakak memberi 2
15 m kain polos dan
8
22 m kain corak. Panjang kain yang
diberikan kakak seluruhnya?
Gambar 5.4 Kakak Sedang Memberi Kain
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.......................................................................................................................................... .......................
............................................................................................................ .....................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 88
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
b. Bagaimana cara menentukan panjang kain yang diberikan kakak
seluruhnya?
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................................. ................
.................................................................................................................................................................
.................................................................................................................................................................
.................................................................................................................................................................
.................................................................................................................................................................
c. Berapa panjang kain yang diberikan kakak seluruhnya?
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................. ...............................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
....................................................................................................................................... ..........................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 89
d. Menurut Nani panjang kain yang diberikan kakak adalah 8
75 m. Sedangkan
menurut Era panjang kain yang diberikan kakak adalah 8
76 m. Menurut
kamu, siapakah yang paling benar? Berikan alasanmu!
..................................................................................................................................................... ............
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................. ....................
................................................................................................................................................................
2. Beno, dan Cepot harus menyelesaikan suatu proyek dalam jangka waktu
yang sudah ditentukan. Oleh karena itu, pekerjaan tersebut akan dibagi
menurut kemampuan masing-masing. Beno menyelesaikan 1/4 bagian, dan
Cepot menyelesaikan 15/40 bagian. Tentukan jumlah bagian yang
dikerjakan oleh Beno dan Cepot?
Gambar 5.5 Beno dan Cepot Sedang Menyelesaikan Proyek
Penyelesaian:
Lembar Akivitas Kelas (LAS) 90
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
........................................................................................................................................................ .........
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................................ .................
.................................................................................................................. ...............................................
............................................................................................................................. ....................................
.................................................................................................................................................................
b. Bagaimana bagian yang dikerjakan oleh Beno dan Cepot?
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................................ .....................
.............................................................................................................. ...................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
c. Hitunglah bagian yang dikerjakan oleh Beno dan Cepot?
.................................................................................................................................................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Penyelesaian:
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 91
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................. ................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.............................................................................................................................................................. ...
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
...................................................................................................................................................... ...........
........................................................................................................................ .........................................
d. Menurut Budi jumlah bagian yang dikerjakan oleh Beno dan Cepot adalah
8
5 bagian. Sedangkan menurut Mitha adalah
8
6 bagian. Menurut kamu,
siapakah yang benar?
.................................................................................................................................... .............................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
......................................................................................................................................................... ........
........................................................................................................................... ......................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 92
3. Dua pertiga dari permukaan bumi adalah lautan. Berapa bagian dari
permukaan bumi yang berupa daratan?
Gambar 5.6 Peta Permukaan Bumi
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.......................................................................................................................................................... .......
b. Bagaimana cara menentukan bagian permukaan bumi yang berbentuk
daratan?
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 93
...................................................................................................................................... ...........................
........................................................................................................ .........................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
c. Berapa bagian dari permukaan bumi yang berupa daratan?
………………………………………………………………………………………………………………...…
……….....……………………………………………………………………………………...........................
....................................................................................................................................... .........................
…………………………………………………………………………………………………………………...
……….....……………………………………………………………………………………...........................
....................................................................................................................................... ..........................
…………………………………………………………………………………………………………………...
……….....……………………………………………………………………………………...........................
....................................................................................................................................... .........................
d. Menurut Budi ada satu pertiga bagian dari permukaan bumi yang berupa
daratan. Sedangkan menurut Iwan ada lima pertiga bagian dari
permukaan bumi yang berupa daratan. Menurut kamu, siapakah yang
paling benar? Berikan alasanmu!
…………………………………………………………………………………………………………………..
……….....……………………………………………………………………………………...........................
....................................................................................................................................... .........................
…………………………………………………………………………………………………………………...
……….....……………………………………………………………………………………...........................
....................................................................................................................................... .........................
…………………………………………………………………………………………………………………
……….....……………………………………………………………………………………...........................
....................................................................................................................................... ..........................
................................................................................................................................................ .................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 94
4. Dalam pemilihan ketua kelas terdapat 3 calon yang akan dipilih, yaitu
Andika, Benito, dan Chandra. Setelah diadakan pemungutan suara,
ternyata Andika memperoleh 3/5 bagian suara dan Benito
memperoleh 1/3 bagian suara. Jika banyak siswa di kelas itu 45 orang,
Berapa banyak suara yang diperoleh Chandra?
Gambar 5.7 Pemilihan Ketua Kelas
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
…………………………………………………………………………………………………………………...
……….....……………………………………………………………………………………...........................
................................................................................................................................................................
………………………………………………………………………………………………………………...…
……….....……………………………………………………………………………………...........................
................................................................................................................................................................
…………………………………………………………………………………………………………………
……….....……………………………………………………………………………………...........................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................... .............
...................................................................................................................... ...........................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 95
b. Bagaimana cara mengetahui banyak suara yang diperoleh Chandra?
…………………………………………………………………………………………………………………..
……….....……………………………………………………………………………………...........................
......................................................................................................................................................... .......
…………………………………………………………………………………………………………………...
……….....……………………………………………………………………………………...........................
............................................................................................................................................ ....................
…………………………………………………………………………………………………………………
……….....……………………………………………………………………………………...........................
.....................……………………………………………………………………………………………………
c. Hitunglah banyak suara yang diperoleh Chandra?
……….....……………………………………………………………………………………...........................
................................................................................................................................................................
…………………………………………………………………………………………………………………...
……….....……………………………………………………………………………………...........................
.................................................................................................................................................................
…………………………………………………………………………………………………………………...
……….....……………………………………………………………………………………...........................
......................................................................................................................................................... .......
…………………………………………………………………………………………………………………...
……….....……………………………………………………………………………………...........................
d. Menurut Harun banyak suara yang diperoleh Chandra ada 4 suara. Sedangkan menurut Masda adalah 3 suara. Menurut kamu, siapakah yang benar?
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 96
............................................................................................................................................................. ....
.................................................................................................................................................................
.................................................................................................................................................................
......................................................................................................................................................... ........
........................................................................................................................... ......................................
............................................................................................................................. ....................................
.................................................................................................................................................................
5. Pak Dedi memiliki sebidang tanah. 4
1 bagian dari luas tanah tersebut
dibuat kolam ikan, 5
2 bagian dipasang keramik, dan sisanya ditanami
rumput. Berapa bagiankah yang ditanami rumput?
Gambar 5.8 Tanah Pak Dedi
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
.................................................................................................................................................................
............................................................................................................................. ....................................
..................................................................................................................................... ............................
.................................................................................................................................................................
............................................................................................................................................................. ....
.................................................................................................................................................................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 97
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
b. Bagaimana cara menentukan bagian tanah pak Dedi yang ditanami
rumput?
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................................................. ....
.................................................................................................................................................................
.................................................................................................................................................................
....................................................................................................................................... ..........................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
c. Berapa bagian dari tanah pak Dedi yang ditanami rumput?
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................. ...............................
.................................................................................................................................................................
............................................................................................................................................................. ....
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 98
d. Menurut Ika ada 3
2 bagian tanah pak Dedi yang ditanami rumput.
Sedangkan menurut Eli ada 20
7 bagian tanah pak Dedi yang ditanami
rumput. Menurut kamu, siapakah yang paling benar? Berikan alasanmu!
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................................ .....
.
Orang-orang yang sukses selalu berpikir dulu baru bertindak; tapi orang-orang yang gagal bertindak
dulu baru berpikir
Penyelesaian:
Lembar Akivitas Kelas (LAS) 99
Indikator :
Siswa diharapkan dapat
memahamidan menyelesaikan masalah
yang berhubungan dengan perkalian
dan pembagian bilangan pecahan.
Petunjuk !!
Diskusikanlah dengan temanmu
dan tuangkan idemu dengan menjawab masalah atau soal
yang diberikan
Lembar Akivitas Kelas (LAS) 100
Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang
berhubungan dengan perkalian dan pembagian bilangan pecahan. Untuk lebih
memahaminya, Mari kita selesaikan masalah yang disajikan berikut ini.
MASALAH 6.1
Pada penerimaan siswa baru di sebuah SMP swasta terdapat 3
2
dari jumlah pendaftar tahun sebelumnya dan hanya 75% yang
memenuhi kriteria penerimaan. Dari calon siswa yang memenuhi
kriteria tersebut hanya 1/5 bagian yang diterima. Berapa jumlah
siswa baru yang diterima?
Gambar 6.1 Pengumuan Penerimaan Siswa Baru
KEGIATAN BELAJAR-6 PERKALIAN DAN PEMBAGIAN
BILANGAN PECAHAN
Lembar Akivitas Kelas (LAS) 101
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
b. Bagaimana cara menentukan jumlah siswa baru yang diterima?
Membuat
Perencanaan
Memahami
masalah
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
................
Lembar Akivitas Kelas (LAS) 102
c. Berapa jumlah siswa baru yang diterima?
d. Menurut Kiki jumlah siswa baru yang diterima adalah 15
2 dari jumlah
pendaftar tahun lalu. Sedangkan menurut Eka jumlah siswa baru yang
diterima adalah 10
1 dari jumlah pendaftar tahun lalu. Menurut kamu,
siapakah yang benar? Berikan alasanmu!
Melaksanakan
Rencana
Memeriksa
Kembali Hasil yang
Diperoleh
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 103
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
MASALAH 6.2
Memahami
masalah
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Ibu Dinda mempunyai 3 orang anak putri. Ibu ini bermaksud
membagikan sehelai kain sutera yang panjangnya 92/3 meter.
Masing-masing putrinya memperoleh panjang yang sama.
Tentukanlah panjang kain yang diberikan ibu Dinda untuk masing-
masing anak-anaknya?
Gambar 6.2 Ibu Memberi Sehelai Kain Sutra
Kepada Tiga Putrinya
Lembar Akivitas Kelas (LAS) 104
b. Bagaimana cara menentukan panjang kain yang diberikan ibu Dinda
kepada masing-masing anak-anaknya?
c. Berapa panjang kain yang diberikan kepada masing-masing anak-
anaknya?
Membuat
Perencanaan
Melaksanakan
Rencana
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
Lembar Akivitas Kelas (LAS) 105
d. Menurut Nani panjang kain yang diberikan ibu Dinda kepada masing-
masing anak-anaknya adalah 8
75 m. Sedangkan menurut Era adalah
8
76 m.
Menurut kamu, siapakah yang paling benar? Berikan alasanmu!
Memeriksa
Kembali Hasil yang
Diperoleh
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Lembar Akivitas Kelas (LAS) 106
MEMECAHKAN SOAL LATIHAN
Latihan 6
1. Sebuah tangki berisi minyak tanah yang cukup untuk mengisi 65 botol
besar dan 48 botol kecil. Setiap botol besar berisi 2
11 liter, dan setiap botol
kecil berisi 5
3liter. Berapa liter minyak tanah yang terdapat dalam tangki
tersebut?
Gambar 6.3 Tangki Minyak Motor
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 107
............................................................................................................................. ....................................
...................................................................................................................................... ...........................
........................................................................................................ .........................................................
............................................................................................................................. ....................................
b. Bagaimana cara menghitung volume minyak tanah yang terdapat dalam
tangki?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.............................................................................................................. ...................................................
....................................................................................................................................................... ..........
.................................................................................................................................................................
............................................................................................................................. ....................................
c. Berapa liter minyak tanah yang terdapat dalam tangki tersebut?
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................... .............
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 108
d. Menurut Wenni volume minyak tanah yang terdapat dalam tangki adalah
98 liter. Sedangkan menurut Urip adalah 97,5 liter. Menurut kamu,
siapakah yang benar? Berikan alasanmu!
................................................................................................................................ .................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................................. ....
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
2. Diketahui luas sebidang tanah berbentuk persegi panjang adalah 2
205m2.
Jika lebar lahan tersebut 2
15m. Tentukan panjangnya!
Gambar 6.4 Sebidang Tanah
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
................................................................................................................................................................ .
.................................................................................................................................................................
............................................................................................................................. ....................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 109
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
b. Bagaimana cara menentukan panjang sebidang tanah?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.......................................................................................................................... .......................................
............................................................................................................................................................. ....
c. Berapa panjang sebidang tanah?
............................................................................................................................................... ..................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
....................................................................................................................................... ..........................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 110
d. Menurut Susi panjang sebidang tanah adalah 3
40. Sedangkan menurut
Lewi adalah 3
41m. Menurut kamu, siapakah yang benar? Berikan
alasanmu!
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
...................................................................................................................................... ...........................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.............................................................................................................................. ...................................
3. Untuk memenuhi kebutuhan keluarga, ayah membeli beras sebanyak 40
kg. Ayah memiliki empat orang anak. Setiap anggota keluarga rata-rata
memerlukan 8
3kg beras untuk makan setiap hari. Untuk berapa lama
persediaan beras tersebut akan habis?
Gambar 6.5 Ayah Mendorong Beras
Penyelesaian:
Lembar Akivitas Kelas (LAS) 111
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................. ...............................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................................................... ..
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
b. Bagaimana cara menentukan lama persediaan beras tersebut akan habis?
............................................................................................................................. ....................................
.................................................................................................................................................................
.............................................................................................................. ...................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................... .............................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
c. Berapa lama persediaan beras tersebut akan habis?
.................................................................................................................................................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 112
...................................................................................................................................... ...........................
........................................................................................................ .........................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.............................................................................................................................. ...................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................................... ......
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................................ .................
d. Menurut Lina persediaan beras akan habis selama 3
120 hari. Sedangkan
menurut Priska adalah 3
121 hari. Menurut kamu, siapakah yang paling
benar? Berikan alasanmu!
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.............................................................................................................................................................. ...
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 113
...................................................................................................................................................... ...........
........................................................................................................................ .........................................
4. Di sepanjang tepi jalan raya yang panjangnya 400 meter akan dipasangi
lampu penerang jalan. Jarak antara dua buah tiang lampu adalah
2
25meter. Tentukan banyak lampu yang diperlukan untuk kebutuhan jalan
raya?
Gambar 6.6 Pemasangan Lampu Tepi Jalan Raya
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
................................................................................................................ .................................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 114
...................................................................................................................................... ...........................
........................................................................................................ .........................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
b. Bagaimana cara menentukan banyak lampu yang diperlukan untuk
kebutuhan jalan raya?
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................... ..............................
.................................................................................................................................................................
.................................................................................................................................................................
................................................................................................................................................................ .
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................................ .........
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
c. Tentukan banyak lampu yang diperlukan untuk kebutuhan jalan raya?
.................................................................................................................................................................
.................................................................................................................................................................
....................................................................................................................................... ..........................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 115
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................... ..................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................................... ......
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
d. Menurut Mega banyak lampu yang diperlukan untuk kebutuhan jalan raya
adalah 32 lampu. Sedangkan menurut Vina adalah 22 lampu. Menurut
kamu, siapakah yang benar? Berikan alasanmu!
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
..................................................................................................................................................... ............
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Orang-orang yang sukses selalu berpikir dulu baru bertindak; tapi orang-orang yang gagal bertindak
dulu baru berpikir
Penyelesaian:
Lembar Akivitas Kelas (LAS) 116
Indikator :
Siswa diharapkan dapat memahami
dan menyelesaikan masalah yang
berhubungan dengan bilangan
berpangkat bulat positif.
Petunjuk !!
Diskusikanlah dengan temanmu
dan tuangkan idemu dengan menjawab masalah atau soal
yang diberikan
Lembar Akivitas Kelas (LAS) 117
Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang
berhubungan dengan bilangan berpangkat bulat positif. Untuk lebih
memahaminya, Mari kita selesaikan masalah yang disajikan berikut ini.
MASALAH 7.1
Seorang arsitek dipercayakan oleh seorang pemilik rumah untuk
membangun rumah minimalis. Rumah minimalis tersebut
berbentuk kubus. Pemilik rumah yang akan dibuatnya itu
menginginkan ukuran volume rumahnya adalah 512 m3. Berapa
meter panjang rusuk dari rumah tersebut yang diperlukan arsitek
untuk membuat pilar rumah tersebut?
Gambar 7.1 Rumah Minimalis
KEGIATAN BELAJAR-7 BILANGAN BERPANGKAT
BULAT POSITIF
Lembar Akivitas Kelas (LAS) 118
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
b. Bagaimana cara mengetahui berapa meter panjang rusuk dari rumah
minimalis tersebut untuk membuat pilar rumah tersebut?
Membuat
Perencanaan
Memahami
masalah
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
....................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
...........................................................................................................................
Lembar Akivitas Kelas (LAS) 119
c. Hitunglah berapa meter panjang rusuk dari rumah minimalis tersebut?
d. Menurut Rosa panjang rusuk dari rumah minimalis tersebut adalah 7
meter. Sedangkan menurut Santi adalah 8 m. Menurut kamu, siapakah
yang benar? Berikan alasanmu!
Melaksanakan
Rencana
Memeriksa
Kembali Hasil yang
Diperoleh
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........
Lembar Akivitas Kelas (LAS) 120
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
MASALAH 7.2
Memahami
masalah
Pada ilmu fisika dipelajari tentang panjang gelombang. Berikut tabel
dalam penggunaan pangkat dalam panjang gelombang yang dapat
memudahkan dalam menghitung panjang atau tidaknya panjang
gelombang.
Faktor Awalan Simbol
103 Kilo K
106 Mega M
109 Giga G
1012 Tera T
Berdasarkan tabel tersebut, simbol mana yang mempunyai faktor
yang terbesar?
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
Lembar Akivitas Kelas (LAS) 121
b. Bagaimana cara menentukan faktor yang terbesar dari simbol pada tabel
tersebut?
c. Tentukanlah simbol mana yang mempunyai faktor yang terbesar?
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.
Membuat
Perencanaan
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.
Melaksanakan
Rencana
Lembar Akivitas Kelas (LAS) 122
d. Menurut Linda simbol yang mempunyai faktor terbesar adalah K.
Sedangkan menurut Susi adalah T. Menurut kamu, siapakah yang benar?
Berikan alasanmu!
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Memeriksa
Kembali Hasil yang
Diperoleh
MASALAH 7.3
Sebuah mobil bergerak di suatu tikungan yang berbentuk
seperempat lingkaran dengan jari-jari 16 m. Mobil melaju dengan
kecepatan tetap 57,6 km/jam. Berapa m/s2 percepatan sentripetal
mobil tersebut?
Gambar 7.3 Mobil di Tikungan Jalan
Lembar Akivitas Kelas (LAS) 123
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
b. Bagaimana cara menentukan percepatan sentripetal mobil tersebut?
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
......................................................................................................................
Membuat
Perencanaan
Memahami
masalah
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
Lembar Akivitas Kelas (LAS) 124
c. Berapa m/s2 percepatan sentripetal mobil tersebut?
d. Menurut Widya percepatan sentripetal mobil tersebut adalah 16 m/s2.
Sedangkan menurut Yanti adalah 26 m/s2. Menurut kamu, siapakah yang
benar?
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.
Memeriksa
Kembali Hasil yang
Diperoleh
Melaksanakan
Rencana
Lembar Akivitas Kelas (LAS) 125
MEMECAHKAN SOAL LATIHAN
Latihan 7
1. Sebuah bak mandi berbentuk kubus dan mempunyai panjang rusuk 9,2
dm. Berapa milli liter volume bak mandi tersebut?
Gambar 7.4 Bak Mandi Berbentuk Kubus
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................... ..................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 126
............................................................................................................................. ....................................
.................................................................................................................................................................
b. Bagaimana cara mengetahui berapa milimeter volume bak mandi?
.................................................................................................................................................................
.................................................................................................................................................................
..................................................................................................................................... ............................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
c. Berapa milli liter volume bak mandi?
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
......................................................................................................................................... ........................
.................................................................................................................................................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................... ..................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 127
d. Menurut Giska volume bak mandi adalah 776, 678 ml. Sedangkan menurut
Diva adalah 778,688 ml. Menurut kamu, siapakah yang paling benar?
Berikan alasanmu!
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................................. ................
.................................................................................................................. ...............................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
2. Sebuah benda bermassa 6 kg bergerak dengan kecepatan 27m/det. Berapa
Joule energy kinetik benda tersebut! (Ek = ½. m. v2)
Gambar 7.5 Benda Dilemparkan
Penyelesaian:
Lembar Akivitas Kelas (LAS) 128
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.......................................................................................................................................................... .......
b. Bagaimana cara menentukan energi kinetik benda?
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................... ..................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................................ .....
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
c. Berapa Joule besar energi kinetik benda?
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 129
............................................................................................................................. ....................................
................................................................................................................................. ................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.............................................................................................................................................................. ...
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................................... ..............
.................................................................................................................................................................
d. Menurut Lenni besar energy kinetik benda adalah 2.187 Joule. Sedangkan
menurut Diah adalah 2817 Joule. Menurut kamu, siapakah yang paling
benar? Berikan alasanmu!
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................... ..............................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................................................ .
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.
3. Suatu alat listrik mempunyai hambatan 2 x 102 ohm dialiri arus 3 x 102
Ampere selama 2 menit. Berapa joule besarnya energy listrik yang
digunakan? (W = I2 x R x t)
Penyelesaian:
Lembar Akivitas Kelas (LAS) 130
Gambar 7.6 Listrik yang Dialiri Arus
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................................ .........
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
b. Bagaimana cara menentukan energi listrik yang digunakan?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 131
.......................................................................................................... .......................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
c. Berapa joule besarnya energi listrik yang digunakan?
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
....................................................................................................................................................... ..........
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................... ......................
............................................................................................................ .....................................................
............................................................................................................................. ....................................
d. Menurut Ferri besar energy yang digunakan adalah 2,16 x 104 Joule.
Sedangkan menurut Leoni adalah 2,16 x 109 Joule. Menurut kamu,
siapakah yang paling benar? Berikan alasanmu!
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 132
.................................................................................................................. ...............................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
........................................................................................................................................ .........................
.......................................................................................................... .......................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
4. Sebuah benda dijatuhkan dari puncak sebuah gedung. Hasil pengukuran
menunjukkkan bahwa waktu benda sampai jatuh ke tanah adalah 4,9
detik. Jika percepatan gravitasi bumi di tempat itu 9,8 m/detik2, berapa
meterkah tinggi gedung tersebut? (Untuk mencari tinggi gedung gunakan
rumus: h = ½ gt2)
Gambar 7.7 Benda yang Dijatuhkan
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 133
.................................................................................................................................................................
............................................................................................................................. ....................................
...................................................................................................................................................... ...........
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................... ......................
b. Bagaimana cara menentukan tinggi gedung?
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
..................................................................................................................................................... ............
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................... ......................
.................................................................................................................................................................
c. Berapa meter tinggi gedung?
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 134
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................................................ .
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
d. Menurut Dion tinggi gedung adalah 116, 749 m. Sedangkan menurut Ketty
adalah 117,649 m. Menurut kamu, siapakah yang paling benar? Berikan
alasanmu!
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
..................................................................................................................................................... ............
...................................................................................................................... ...........................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.
Orang-orang yang sukses selalu berpikir dulu baru bertindak; tapi
orang-orang yang gagal bertindak dulu baru berpikir
Penyelesaian:
Lembar Akivitas Kelas (LAS) 135
Indikator :
Siswa diharapkan dapat memahami
dan menyelesaikan masalah yang
berhubungan dengan kelipatan
persekutuan terkecil dan faktor
persekutuan terbesar.
Petunjuk !!
Diskusikanlah dengan temanmu
dan tuangkan idemu dengan menjawab masalah atau soal
yang diberikan
Lembar Akivitas Kelas (LAS) 136
Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang
berhubungan dengan kelipatan persekutuan terkecil dan faktor persekutuan
terbesar. Untuk lebih memahaminya, Mari kita selesaikan masalah yang disajikan
berikut ini.
MASALAH 8.1
Tiga bus kota dengan jurusan yang berbeda meninggalkan terminal
yang sama, dan akan kembali ke terminal tersebut setiap 60 menit,
80 menit, dan 120 menit. Jika ketiga bus tersebut meninggalkan
terminal secara bersamaan pada pukul 05.30 pagi, pada pukul
berapa ketiga bus akan bertemu di terminal yang sama tersebut?
Gambar 8.1 Terminal Bus
KEGIATAN BELAJAR-8 KELIPATAN PERSEKUTUAN TERKECIL
DAN FAKTOR PERSEKUTUAN TERBESAR
Lembar Akivitas Kelas (LAS) 137
a. Informasi apa yang bisa kamu peroleh dari masalah di atas!
b. Bagaimana cara menentukan pada pukul berapa ketiga bus akan bertemu
di terminal yang sama?
Membuat
Perencanaan
Memahami
masalah
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
........................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
.....................................................................................................................
Lembar Akivitas Kelas (LAS) 138
c. Pada pukul berapa ketiga bus akan bertama di terminal yang sama?
d. Menurut Supri ketiga bus akan bertemu di terminal yang sama pada pukul
09.30 pagi. Sedangkan menurut Dirham pada pukul 10.00. Menurut kamu,
siapakah yang paling benar? Berikan alasanmu!
Melaksanakan
Rencana
Memeriksa
Kembali Hasil yang
Diperoleh
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.....................................................................................................
Lembar Akivitas Kelas (LAS) 139
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
MASALAH 8.2
Memahami
masalah
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
.........................................................................................................................
Menjelang bulan puasa, Pak Budi membagikan bantuan kepada para
tetangganya berupa 96 kg beras, 80 bungkus mie instan dan 64
kemasan minyak goreng. Setiap orang mendapat bagian yang sama
banyak, maka tetangga Pak Budi yang mendapat bantuan adalah
sebanyak berapa orang?
Gambar 8.2 Pak Budi Memberi Bantuan Kepada Tetangga
Lembar Akivitas Kelas (LAS) 140
b. Bagaimana cara menentukan ada berapa orang tetangga Pak Budi yang
mendapat bantuan?
c. Berapa banyak tetangga pak Budi yang mendapat bantuan?
Membuat
Perencanaan
Melaksanakan
Rencana
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
.......................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
.......................................................................................................................
Lembar Akivitas Kelas (LAS) 141
d. Menurut Kiki tetangga pak Budi yang mendapat bantuan ada sebanyak 8
orang. Sedangkan menurut Arman adalah sebanyak 9 orang. Menurut
kamu, siapakah yang benar? Berikan alasanmu!
Memeriksa
Kembali Hasil yang
Diperoleh
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
..........................................................................................................................
Lembar Akivitas Kelas (LAS) 142
MEMECAHKAN SOAL LATIHAN
Latihan 8
1. Shela datang ke perpustakaan sekolah setiap 8 hari sekali. Arnis datang
setiap 5 hari sekali dan Indra datang setiap 10 hari sekali. Jika pada
tanggal 8 Januari 2012 mereka datang ke perpustakaan bersama-sama,
pada tanggal berapa mereka akan datang ke perpustakaan bersama-sama
lagi untuk kedua kalinya?
Gambar 8.3 Perpustakan
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 143
.................................................................................................................................................................
...................................................................................................................... ...........................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................... ......................
b. Bagaimana cara menentukan tanggal berapa Shela, dan Arnis bersama-
sama lagi untuk kedua kalinya?
.................................................................................................................................. ...............................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................................... ..
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
...................................................................................................................................................... ...........
........................................................................................................................ .........................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
c. Tanggal berapa Shela dan Arnis bersama-sama lagi untuk kedua kalinya?
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 144
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................................... ..
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
..................................................................................................................................................... ............
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................. ....................
d. Menurut Dora bahwa Shela dan Arnis bersama-sama lagi untuk kedua
kalinya adalah pada tanggal 16 Februari 2012. Sedangkan menurut Dedi
adalah pada tanggal 17 Februari 2012. Menurut kamu, siapakah yang
paling benar? Berikan alasanmu!
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
..................................................................................................................................................... ............
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 145
............................................................................................................................. ....................................
............................................................................................................................. ...................................
.
2. Sebuah bak mandi mempunyai dua buah kran, yaitu kran besar dank ran
kecil. Jika kran kecil dibuka dank ran besar ditutup, bak mandi akan penuh
setelah 60 menit. Jika kran besar dibuka dank ran kecil ditutup, bak mandi
akan penuh dalam waktu 40 menit. Berapa menit dibutuhkan untuk
memenuhi bak mandi jika kedua kran dibuka?
Gambar 8.4 Bak Mandi
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 146
............................................................................................................................. ....................................
.......................................................................................................................................................... .......
............................................................................................................................ .....................................
............................................................................................................................. ....................................
b. Bagaimana cara menentukan waktu yang dibutuhkan untuk memenuhi
bak mandi jika kedua kran dibuka?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
c. Berapa menit dibutuhkan untuk memenuhi bak mandi jika kedua kran
dibuka?
.................................................................................................................................................................
.................................................................................................................................................................
.............................................................................................................................................. ...................
................................................................................................................ .................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 147
............................................................................................................................. ....................................
..................................................................................................................................... ............................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................................................ .
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
........................................................................................................................................................ .........
.................................................................................................................................................................
............................................................................................................................. ....................................
d. Menurut Risma waktu yang dibutuhkan untuk memenuhi bak mandi
adalah 20 menit. Sedangkan menurut Silvia adalah 30 menit. Menurut
kamu, siapakah yang paling benar? Berikan alasanmu!
.......................................................................................................................... .......................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
................................................................................................................................................ .................
.................................................................................................................. ...............................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................... .............................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 148
............................................................................................................................. ....................................
................................................................................................................................................................ .
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
3. Ali bersepeda dari kota Yogyakarta ke Solo dengan kecepatan rata-rata 20
km/jam, berangkat pukul 07.00. Satu jam kemudian Bambang menyusul
Ali naik sepeda motor dengan kecepatan 30 km/jam. Pada km berapa dan
pada pukul berapa Bambang menyusul Ali?
Gambar 8.5 Ali Bersepeda
a. Informasi apa yang bisa kamu peroleh dari masalah di atas?
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
...................................................................................................................................................... ...........
Penyelesaian:
Lembar Akivitas Kelas (LAS) 149
........................................................................................................................ .........................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................. ....................
b. Bagaimana cara menentukan pada km berapa dan pukul berapa Bambang
menyusul Ali?
..................................................................................................................................................... ............
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................. ....................
.............................................................................................................. ...................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
................................................................................................................................................................
............................................................................................................................. ...................................
c. Pada km berapa dan pukul berapa Bambang menyusul Ali?
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
Penyelesaian:
Penyelesaian:
Lembar Akivitas Kelas (LAS) 150
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................................ .....
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................................... ..................
................................................................................................................ .................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ...................................
................................................................................................................................................................
............................................................................................................................. ...................................
.................................................................................................................................... ............................
d. Menurut Edo Bambang menyusul Ali pada 20 km dan pukul 08.00.
Sedangkan menurut Simon adalah pada 20 km dan pukul 09.00. Menurut
kamu, siapakah yang paling benar? Berikan alasanmu!
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
.................................................................................................................................................................
.................................................................................................................................................................
............................................................................................................................. ....................................
................................................................................................................................ .................................
.................................................................................................................................................................
Penyelesaian:
Lembar Akivitas Kelas (LAS) 151
............................................................................................................................. ....................................
............................................................................................................................................................ .....
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
............................................................................................................................. ....................................
.................................................................................................................................................................
............................................................................................................................. ....................................
Orang-orang yang sukses selalu berpikir dulu baru bertindak; tapi orang-orang yang gagal bertindak
dulu baru berpikir
Recommended