3A · dd 23dt hsbdlhudpUdldehuu1 dd 3dmphudt hsbd4p Udenudt hsbdpUdenudehuu1 dd 5p6dmlU7dt hsbdlhudenuhudpUdenudehuud Udl889 ... Alex puts more stickers on the page. There are now

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My Math Path 1–7 brings together the proven Singapore Math approach with Canadian curriculum–aligned content. The series blends procedural and conceptual understanding to support student success and mathematical mastery. My Math Path 1–7 encourages students to think critically and persevere when solving problems using strategies that promote visualization. The purposeful lesson structure aims to boost student confidence and mathematical understanding, fostering positive attitudes toward math.

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mmp3a_bcsb_cover.indd All Pagesmmp3a_bcsb_cover.indd All Pages 2020-04-13 7:38 AM2020-04-13 7:38 AM

SAMPLE LESSONS

INSIDE

ACCESS THE DEMO VERSION OF THE MY MATHPATH GRADE 3 ONLINE TEACHING CENTRE (OTC)

FOR FREE!Features include:• Additional teaching materials that support the detailed lessons

found in the print Teacher’s Resource

• Indigenous Connections through meaningful and authentic activities

• Extra practice Blackline Masters to reinforce lesson concepts and allow independent practice

• Revisit and Enrichment Blackline Masters to differentiate instruction

• Virtual Manipulatives and Games to model concepts and enhance instruction

Access your demo now!Please visit nelson.com/mmp3_OTCdemo_BC

For assistance contact Customer Support atE-mail: [email protected]: 1-800-268-222

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Book A

1 Numbers to 1000

2 Addition to 1000

3 Subtraction to 1000

4 Addition and Subtraction Strategies

5 Rounding and Estimating

6 Using Bar Models: Addition and Subtraction

Book B

7 Multiplication and Division

8 Multiplication Facts for 2, 5, and 10

9 Multiplication Facts for 3 and 4

10 Length

11 Mass

12 Capacity

Book C

13 Area and Perimeter

14 Fractions

15 Money

16 Calendar and Time

17 2-D and 3-D Geometry

18 Graphs and Probability

My Math Path 3 at a Glance

iii

00(M)MIFG3_NonCC_SB(A)_FM.indd 3 07/04/20 5:57 PM

nelson.com/MMPCanadianReport

Learn about the research and efficacy behind Singapore Math®

and Nelson’s My Math Path

Consultant and AuthorDr. Fong Ho Kheong

AuthorsChelvi Ramakrishnan, Michelle Choo,

Bernice Lau Pui Wah, and Gan Kee Soon

Canadian Curriculum Advisor Dr. Douglas Edge

Canadian Program AdvisorJean Ford

Canadian Indigenous ReviewersMelissa Flynn

Nadine McSpadden

Student Book

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Chapter Opener 1

Recall Prior Knowledge 2Quick Check

1 Counting 9

Learn You can read and write numbers to 100 in word form. • You can use base 10 blocks to show numbers. • You can use base 10 blocks to count forward by 1. • You can use base 10 blocks to count forward by 10. • You can use base 10 blocks to count forward by 100.

2 Place Value 16

Learn You can use base 10 blocks and a place-value chart to show a number. • You can write numbers in standard form and expanded form. Hands-On Activity Estimating large quantities using benchmarksGame Show the Number!

3 Comparing Numbers 26Learn You can use base 10 blocks to compare numbers. • You can use number lines to compare numbers. Game Roll and Show!

Numbers to 1000

Contents

1Chapter

iv


Put on Your Thinking Cap! 45Chapter Wrap Up 46

1 Addition and Subtraction Facts within 20 53

Learn You can add by using the “make 10” strategy. • You can add by using a doubles fact. • You can subtract by using number bonds.

2 Addition without Regrouping 57

Learn You can add ones to a 3-digit number without regrouping. • You can add a 2-digit number to a 3-digit number without regrouping. • You can add a 3-digit number to a 3-digit number without regrouping.

3 Addition with Regrouping in Ones 61

Learn You can add to a 3-digit number with regrouping in ones. Game Make a Hundred!

Addition to 1000

Chapter Opener 47


2Chapter

4 Ordering and Patterning 33Learn You can use place-value charts to order numbers. • You can use a number line to find the missing number in a pattern. • You can use a number line or a calculator to find the missing numbers in a pattern.Math JournalGame Roll and Count!Let’s Explore Number patterns

v


4 Addition with Regrouping in Tens 65

Learn You can add to a 3-digit number with regrouping in tens.

5 Addition with Regrouping in Ones and Tens 68Learn You can add to a 3-digit number with regrouping in ones and tens. Game Go for the Greatest!Let’s Explore Investigate the relationship between addition and subtraction.Math Journal

6 Addition Patterns 75

Learn You can make number patterns using addition.• You can describe geometric patterns using numbers.Hands-On Activity Representing geometric patterns using a number sequenceMath Journal


vi


1 Subtraction without Regrouping 90

Learn You can subtract a 1-digit number from a 3-digit number. • You can subtract a 2-digit number from a 3-digit number. • You can subtract a 3-digit number from a 3-digit number.Math Journal

2 Subtraction with Regrouping in Tens and Ones 96

Learn You can subtract from a 3-digit number with regrouping in tens and ones.Math Journal

3 Subtraction with Regrouping in Hundreds and Tens 101

Learn You can subtract from a 3-digit number with regrouping in hundreds and tens.Game Break a Hundred!

4 Subtraction with Regrouping in Hundreds, Tens, and Ones 107

Learn You can subtract from a 3-digit number with regrouping in hundreds, tens, and ones.

5 Subtraction across Zeros 113

Learn You can subtract from numbers with zeros.Math Journal

6 Subtraction Patterns 118Learn You can make number patterns using subtraction.

Subtraction to 1000

Chapter Opener 83



3Chapter

vii


1 Addition Strategies 132

Learn You can add mentally using the “add the ones” or “add the tens” strategy. • You can add using the “add the ones then add the tens” strategy. • You can add using the “add the tens then subtract the extra ones” strategy. • You can add using the “add 100 then subtract the extra tens or ones” strategy.

2 Subtraction Strategies 139

Learn You can subtract mentally using the “subtract the ones” or “subtract the tens” strategy. • You can subtract using the “subtract from the tens and add the ones” strategy. • You can subtract mentally using the “subtract the ones then subtract the tens” strategy. • You can subtract using the “subtract the tens then add the extra ones” strategy. • You can subtract using the “subtract 100 then add the extra tens or ones strategy.”

3 More Addition and Subtraction 147

Learn You can find an unknown result in an addition sentence. • You can find an unknown start number in an addition sentence. • You can find an unknown change in an addition sentence. • You can find an unknown result in a subtraction sentence. • You can find an unknown start number in a subtraction sentence. • You can find an unknown change in a subtraction sentence.Hands-On Activity Writing problems in different waysMath Journal


Addition and Subtraction Strategies

Chapter Opener 124


4Chapter

viii


1 Rounding Numbers to Estimate 160

Learn You can round a 3-digit number to the nearest ten. • You can round a 3-digit number to the nearest hundred. • You can decide whether to find an estimate or an exact amount. • You can round to estimate sums and check that the answers are reasonable. • You can round to estimate differences and check that the answers are reasonable.

2 Front-End Estimation 168

Learn You can identify the leading digit in a number. • You can use front-end estimation to estimate sums and differences. • You can use front-end estimation to check the reasonableness of sums and differences.Math Journal

Chapter Opener 157



Rounding and Estimating5Chapter

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CONTINUE

1 Real-World Problems: Two-Step Problems 180

Learn You can use bar models to solve 2-step problems. Math Journal

Using Bar Models: Addition and Subtraction

Chapter Opener 175



Glossary 189

Index 208

Credits 216

6Chapter

x


Addition and Subtraction Strategies4

Chapter

Different strategies can be used to add and subtract numbers.

KEY IDEA

Lessons1 Addition Strategies2 Subtraction Strategies3 More Addition and Subtraction

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Addingonesusingthe“addtheones”strategy

Addingtensmentallyusingthe“addthetens”strategy

RECALL PRIOR KNOWLEDGE

Find 14 7.Group 14 into tens and ones.

Step1 Add the ones.

Step2 Add the result to the tens.

So, 14 7 5 21.

4 7 5 11

10 11 5 214

14

10

Find 15 30.Group 15 into tens and ones.

Step1 Add the tens.

Step2 Add the result to the ones.

So, 15 30 5 45.

10 30 5 40

5 40 5 4510

15

5

Chapter4 Addition and Subtraction Strategies 125


Addingonesusingthe“add10thensubtracttheextraones”strategy

Addingonesmentallyusingthe“addtheonesthenaddthetens”strategyFind 23 25.

3 5 5 8

20 20 5 40

40 8 5 48

20

23

3

20

25

5

Find 38 8.

Step1 Add 10 to 38.

Step2 Subtract 2 from the result.

So, 38 8 5 46.

38 10 5 48

48 2 2 5 468

10

2

Step1 Add the ones.

Step2 Add the tens.

Step3 Add the tens and the ones.

So, 23 25 5 48.

126 Chapter4 Addition and Subtraction Strategies


Addingtwo2-digitnumbersusingthe“addthetensthensubtracttheextraones”strategy

Subtractingonesmentallyusingthe“subtracttheones”strategy

Subtractingtensmentallyusingthe“subtractthetens”strategy

Find 14 38.

Step1 Add 40 to 14.


So, 14 38 5 52.

14 40 5 54

54 2 2 5 5238

40

2

Find 27 2 4.Group 27 into tens and ones.

Step1 Subtract the ones.

Step2 Add the result to the tens.

So, 27 2 4 5 23.

7 2 4 5 3

20 3 5 2320

27

7

Find 39 2 20.Group 39 into tens and ones.

Step1 Subtract the tens.

Step2 Add the result to the ones.

So, 39 2 20 5 19.

30 2 20 5 10

9 10 5 1930

39

9



Subtractingonesfrom2-digitnumbersusingthe“subtract10thenaddtheextraones”strategy

Subtractingonesfrom2-digitnumbersusingthe“subtractfromthetensthenaddtheones”strategy

Subtracting2-digitnumbersfrom2-digitnumbersmentallyusingthe“subtracttheonesthensubtractthetens”strategy

Find 42 2 9.

Step1 Subtract 10 from 42.

Step2 Add 1 to the result.

So, 42 2 9 5 33.

42 2 10 5 32

32 1 5 339

10

1

Find 46 2 8.



So, 46 2 8 5 38.

40 2 8 5 32

32 6 5 3840

46

6

Find 37 2 16.


7 2 6 5 1


30 2 10 5 20

Step3 Add the tens and ones.

20 1 5 21

So, 37 2 16 5 21.

30

37

7

10

16

6



Subtracting2-digitnumbersfrom2-digitnumbersusingthe“subtractthetensthenaddtheextraones”strategy

Usingpart-wholebarmodelstosolvereal-worldadditionproblems.

10

?

12

Nyla has 10 game pieces. Her friend gives her 12 more game pieces. How many game pieces does Nyla have altogether?

10 12 5 22Nyla has 22 game pieces altogether.

Find 47 2 29.


47 2 30 5 17


17 1 5 18

So, 47 2 29 5 18.

29

30

1

I can subtract in another way.

Step1 47 2 27 5 20Step2 20 2 2 5 18

27

292



Usingpart-wholebarmodelstosolvereal-worldsubtractionproblems.

24

7 ?

Add.Usenumberbondstohelpyou.

1 32 7 5 2 41 8 5

3 16 6 5 4 23 7 5

5 33 14 5 6 24 15 5

7 17 10 5 8 13 20 5

9 25 16 5 10 19 21 5

Subtract.Usenumberbondstohelpyou.

11 35 2 4 5 12 48 2 5 5

13 43 2 7 5 14 31 2 9 5

15 26 2 10 5 16 33 2 20 5

17 36 2 18 5 18 45 2 29 5

QuickCheck

Raphael baked 24 cookies. He and his friends ate 7 cookies. How many cookies are left?

24 2 7 5 17There are 17 cookies left.



Solve.Usebarmodelstohelpyou.19 Aurbal donated 14 hats to a local charity for the winter.

Her sister donated 17 hats. How many hats did they donate altogether?

14 17 5

Aurbal and her sister donated hats altogether.

20 Malik borrowed 21 books from the library. He returned 15 books to the library. How many books does he have left to return to the library?

21 2 15 5

Malik has books left to return to the library.

14 17

?

15 ?

21



LEARN Youcanaddmentallyusingthe“addtheones”or“addthetens”strategy.

Find253 6. Group 253 into ones, and hundreds and tens.

Step1 Add the ones. 3 6 5 9

Step2 Add the result to the 250 9 5 259 hundreds and tens.

So, 253 6 5 259.

Find21350. Group213intotens,andhundredsandones.

Step1 Add the tens. 10 50 5 60

Step2 Add the result to the 203 60 5 263 hundreds and ones.

So, 213 50 5 263.

Goals• Add 2-digit and 3-digit numbers with and without

regrouping using different strategies.

1Lesson

Addition Strategies

3

253

250

10

213

203




1 Find4725. Group472intoones,andhundredsandtens.

2 322 7 5

3 414 5 5

4 Find35140. Group351intotens,andhundredsandones.

?

351

301

5 237 50 5

6 613 70 5

Step1 Add the tens. + 40 =

Step2 Add the result to the hundreds and ones.

301 + =

So, 351 + 40 = .

GUIDED LEARNING

?

472

470

Step1 Add the ones. 5 5

Step2 Add the result to the hundreds and tens.

470 5

So, 472 5 5 .

Lesson1 Addition Strategies 133


LEARN Youcanaddusingthe“addtheonesthenaddthetens”strategy.


7 Find6758.

60

67

?

50

58

?

Step1 Add the ones.

Step2 Add the tens.

Step3 Add the results.

So, 67 58 5 .

8 49 84 5 9 76 37 5

GUIDED LEARNING

Find 43 69.

Step1 Add the ones.

Step2 Add the tens.

Step3 Add the results.

So, 43 69 5 112.

3 9 5 12

40 60 5 100

100 12 5 112

40

43

3

60

69

9

5

5

5



LEARN Youcanaddusingthe“addthetensthensubtracttheextraones”strategy.


10 Find34746.

46

50

?

Step1 Add to 347.

Step2 Subtract from the result.

So, 347 46 5 .

11 156 39 5 12 223 57 5

GUIDED LEARNING

70 is the nearest ten to 68.

Adding 68 is the same as adding 70 and subtracting 2.

347 5

397 2 5

Find 117 68.

Step1 Add 70 to 117.


So, 117 68 5 185.

117 70 5 187

187 2 2 5 185

68

70

2



LEARN Youcanaddusingthe“add100thensubtracttheextratensorones”strategy.


Find 345 80.

Step1 Add 100 to 345. 345 100 5 445

Step2 Subtract 20 from 445 2 20 5 425 the result.

So, 345 80 5 425.

80 5 100 2 20

80

100

20


Find 269 97.

Step1 Add 100 to 269.


So, 269 97 5 366.

269 100 5 369

369 2 3 5 366

97

100

3




13 Find 568 90.

90

100

?

Step1 Add to 568.


So, 568 90 5 .

14 465 70 5

15 795 40 5

16 Find 179 95.

95

100

?

Step1 Add to 179.


So, 179 95 5 .

17 254 99 5

18 384 98 5

GUIDED LEARNING

90 5 100 2

568 5

2 5

179 5

279 2 5



LET’S PRACTISEAdd.Usenumberbondstohelpyou.

1 325 4 5 2 734 3 5

3 247 5 5 4 8 339 5

5 446 30 5 6 628 20 5

7 337 50 5 8 421 60 5

9 59 56 5 10 76 65 5

11 28 85 5 12 93 27 5

13 125 39 5 14 214 67 5

15 434 58 5 16 88 309 5

17 582 60 5 18 675 70 5

19 80 499 5 20 747 90 5

21 198 98 5 22 359 96 5

23 468 99 5 24 593 97 5



Goals• Find the missing number in addition and subtraction

sentences.

3 More Addition and Subtraction Lesson

LEARN Youcanfindanunknownresultinanadditionsentence.

15 birds are on a tree. 5 more birds join the birds on the tree. How many birds are there on the tree in all?

We can write an addition sentence to represent the story. 15 5 5 ?

15 and 5 make 20. So, the missing number is 20. 15 5 5 20

There are 20 birds on the tree in all.

15

?

5

GUIDED LEARNINGWhatisthemissingnumber?

1 23 9 5

23

?

9

What is the sum of 23 and 9?

What is the result of 15 and 5?

How do wefind the wholegiven 2 parts?

Lesson3 More Addition and Subtraction 147


LEARN Youcanfindanunknownstartnumberinanadditionsentence.

There were some birds on a tree. 5 more birds joined the birds on the tree. There are now 20 birds altogether on the tree. How many birds were on the tree at first?

We can write an addition sentence to represent the story. ? 5 5 20


There were 15 birds on the tree at first.


2 7 5 18

?

20

5

?

18

7

What makes 20 with 5?Think of a related subtraction sentence.20 2 5 5 15

What makes 18 with 7?18 2 7 5 ?



LEARN Youcanfindanunknownchangeinanadditionsentence.

15 birds were on the tree. More birds joined the birds on the tree. There are now 20 birds altogether on the tree. How many birds joined the first 15 birds on the tree?

We can write an addition sentence to represent the story. 15 ? 5 20


5 birds joined the first 15 birds.


3 10 5 25

15

20

?

10

25

?

What is added to 15 to make 20? Think of a related subtraction sentence.20 2 15 5 ?

What is added to 10 to make 25?25 2 10 5 ?



LEARN Youcanfindanunknownresultinasubtractionsentence.

There were 22 apples in a basket at a farmers’ market. A farmer sold 15 of the apples. How many apples were left?

We can write a subtraction sentence to represent the story. 22 2 155 ?

22 2 15 5 7 So, the missing number is 7.

7 apples were left.


4 25 2 7 5

15

22

?

7

25

?

Think of a related addition sentence. 15 ? 5 22

7 ? 5 25



LEARN Youcanfindanunknownstartnumberinasubtractionsentence.

There were some apples in a basket at a farmers’ market. A farmer sold 15 of the apples. There were 7 apples left. How many apples were there in the basket at first?

We can write a subtraction sentence to represent the story.

? 2 15 5 7

15 7 5 22. So, the missing number is 22. 22 2 15 5 7

22 apples were in the basket at first.


5 2 6 5 15

15

?

7

6

?

15

Write the subtraction sentence as an addition sentence.

? 2 6 5 1515 6 5 ?



LEARN Youcanfindanunknownchangeinasubtractionsentence.

There were 22 apples in a basket at a farmers’ market. A farmer sold some of the apples. There were 7 apples left. How many apples were sold?

We can write a subtraction sentence to represent the story.

22 2 ? 5 7

22 2 7 5 15 So, the missing number is 15. 22 2 15 5 7

15 apples were sold.


6 32 2 5 24

?

22

7

?

32

24

Write the subtraction sentence in another way. 22 2 7 5 ?

Write the subtraction sentence in another way.



HANDS-ON ACTIVITY

Work in pairs.

Find the missing number. Then rewrite the given problem in 2 different ways. Write 1 problem with an unknown start number and the other with an unknown change. Write the addition or subtraction sentences and find the unknown.

1 Carlos has 42 game cards. He buys 15 more. How many game cards does he have altogether?

42 15 5 ?

2 There were 35 crayons in a box. Min took 18 crayons. How many crayons were left in the box?

35 2 18 5 ?

Lesson 3 More Addition and Subtraction 153


LET’S PRACTISEWhatarethemissingnumbers?Usethebarmodelstohelpyou.

1 There are 15 stickers on a page. Alex puts more stickers on the page.

There are now 28 stickers altogether on the page. How many stickers did Alex put on the page?

2 There were some frogs in a pond. 9 of the frogs leaped away.

There are now 16 frogs left. How many frogs were there in the pond at first?

15

28

?15 5 28

Alex put stickers on the page.

9

?

16 2 9 5 16

There were frogs in the pond at first.

3 15 5 33 4 17 5 32

5 2 6 5 18 6 28 2 5 19

?

33

15

18

?

6

17

32

?

?

28

19

Whatisthemissingnumberineachnumbersentence?



Which strategy would you use to subtract 60 from 728? Why? Explain your steps.

MATH JOURNAL

1 Jacintha adds 2 numbers to get 382. She adds 80 to the first number, then subtracts 3 from the result. Find the 2 numbers that Jacintha was adding.

2 Ahmad subtracts 2 numbers to get 727. He subtracts 100 from the first number, then adds 4 to the result. Find the 2 numbers that Ahmad was subtracting.

PUT ON YOUR THINKING CAP!

Lesson 3 More Addition and Subtraction 155


CHAPTER WRAP UP Different strategies can be used to add and subtract numbers.

KEY IDEA

Adding 3-digit numbers and ones 121 8 Step1 1 8 5 9 Step2 120 9 5 129

Adding 3-digit numbers and tens121 70 Step1 20 70 5 90 Step2 101 90 5 191

269 60 Step1 269 100 5 369 Step2 369 2 40 5 329

Adding 2-digit numbers to 2-digit numbers45 69 Step1 5 9 5 14 Step2 40 60 5 100 Step3 100 14 5 114

Adding 3-digit numbers and 2-digit numbers119 76 Step1 119 80 5 199 Step2 199 2 4 5 195

119 99 Step1 119 100 5 219 Step2 219 2 1 5 218

Subtracting ones from 2-digit numbers 63 2 6 Step1 60 2 6 5 54 Step2 54 3 5 57

Subtracting 2-digit numbers from 2-digit numbers 82 2 71 Step1 2 2 1 5 1 Step2 80 2 70 5 10 Step3 10 1 5 11

Subtracting ones from 3-digit numbers 119 2 4 Step1 9 2 4 5 5 Step2 110 5 5 115

Subtracting tens from 3-digit numbers 232 2 20 Step1 30 2 20 5 10 Step2 202 10 5 212

341 2 70 Step1 341 2 100 5 241 Step2 241 30 5 271

Subtracting 2-digit numbers from 3-digit numbers 259 2 38 Step1 259 2 40 5 219 Step2 219 2 5 221

Addition and Subtraction Strategies

AdditionStrategies SubtractionStrategies



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3A · dd 23dt hsbdlhudpUdldehuu1 dd 3dmphudt hsbd4p Udenudt hsbdpUdenudehuu1 dd 5p6dmlU7dt hsbdlhudenuhudpUdenudehuud Udl889 ... Alex puts more stickers on the page. There are now