€¦ · Web viewbook (Appendix) • BM 3.6 ... House Pte Ltd Maths SMART Teacher's Guide Grade 6 ... involving decimals with up to . 3 decimal places • Round decimals to

Chapter 1: Decimals Scheme-of-Work Total Teaching Time: 36 periods (18 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Chapter Opener p. 1 0.5 periods •Recap the concept of tenths and hundredths using •Textbook 6A, Chapter 1, p. 1 (15 minutes) bar models

Lesson 1.1 pp. 2 – 9 8 periods •Write thousandths as decimals •Textbook 6A, Chapter 1, pp. 2 – 9 •BM 1.1: Place value tables thousandth (4 hours) •Know the value of each digit in a decimal number with •Workbook 6A, Chapter 1, Worksheet 1, pp. 1 – 4 (Appendix)

Understanding thousandths 3 decimal places •BM 1.2: Fraction cards •Write fractions as decimals, and vice versa (Appendix)

Thinking Skills — Analysing and Comparing

Lesson 1.2 pp. 10 – 12 3 periods •Compare and order decimals with up to 3 decimal places •Textbook 6A, Chapter 1, pp. 10 – 12 •BM 1.1: Place value tables

(1.5 hours) •Workbook 6A, Chapter 1, Worksheet 2, pp. 5 – 6 (Appendix) Comparing and ordering Thinking Skills — Analysing and Comparing •BM 1.3: Decimal cards decimals (Appendix)

Lesson 1.3 pp. 13 – 15 3 periods •Find the number that is 0.1, 0.01 or 0.001 more or less than •Textbook 6A, Chapter 1, pp. 13 – 15 (1.5 hours) any decimal with 3 decimal places •Workbook 6A, Chapter 1, Worksheet 3, pp. 7 – 8

Number patterns •Describe and continue number patterns by counting on or back from decimals with 3 decimal places

Lesson 1.4 pp. 16 – 20 5.5 periods •Round a decimal with 3 decimal places to the nearest •Textbook 6A, Chapter 1, pp. 16 – 20 round to the (2.75 hours) whole number, tenth and hundredth •Workbook 6A, Chapter 1, Worksheet 4, pp. 9 – 10 nearest hundredth,

Rounding decimals round to Thinking Skills — Analysing and Comparing 2 decimal places

Lesson 1.5 pp. 21 – 27 7 periods •Add and subtract decimals •Textbook 6A, Chapter 1, pp. 21 – 27 •BM 1.3: Decimal cards (3.5 hours) •Workbook 6A, Chapter 1, Worksheets 5 & 6, pp. 11 – 14 (Appendix)

Addition and subtraction •Worksheet 1.4: Subtracting

decimals (Appendix)

Lesson 1.6 pp. 28 – 33 6 periods •Multiply and divide decimals by 10, 100 and 1000 •Textbook 6A, Chapter 1, pp. 28 – 33 •Worksheet 1.5: Multiplying

(3 hours) •Workbook 6A, Chapter 1, Worksheet 7, pp. 15 – 16 and dividing decimals Multiplication and division (Appendix) by 10, 100 and 1000 •BM 1.6: Blue cards

(Appendix) •BM 1.7: Red cards

(Appendix)

Lesson 1.7 pp. 34 – 36 3 periods •Use a calculator to do operations involving decimals •Textbook 6A, Chapter 1, pp. 34 – 36 (1.5 hours) •Workbook 6A, Chapter 1, Worksheet 8, pp. 17 – 18

Using a calculator

Chapter 1 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 6


I Know That pp. 36 – 37 •Reinforce and consolidate skills and concepts taught in •Textbook 6A, Chapter 1, pp. 36 - 37 Chapter 1 •Workbook 6A, Chapter 1, Putting It Together 1,

pp. 19 – 24

Apply What You Know p. 38 21st Century Skills — •Textbook 6A, Chapter 1, p. 38 • Critical Thinking & Problem-Solving •Workbook 6A, Chapter 1, Putting It Together 2, • Communication pp. 25 – 26

Internet Links: • •••••••••••

http://www.mrnussbaum.com/mathdrills/decimals/decoorder10.htm http://www.worksheetworks.com/math/decimals/sequence.html http://www.ezschool.com/EZSheets/Number_Sense/Decimals/Compare_Order/sheet11.html http://www.aaamath.com/g44c_wx1.htm http://nlvm.usu.edu/en/nav/frames_asid_264_g_1_t_1.html http://www.mathsisfun.com/worksheets/print.php?w=1852&ID=8246http://www.mathsisfun.com/worksheets/print.php?w=1853&ID=19129 http://www.mathsisfun.com/worksheets/print.php?w=1854&ID=19129 http://www.mathsisfun.com/worksheets/print.php?w=1859&ID=19129 http://www.mathsisfun.com/worksheets/print.php?w=1860&ID=19129 http://www.mathsisfun.com/worksheets/print.php?w=1861&ID=19129http://calculator-1.com/


Chapter 2: Ratio Scheme-of-Work Total Teaching Time: 20 periods (10 hours)


Chapter Opener p. 39 0.5 periods •Identify real-life situations where ratios are used to make •Textbook 6A, Chapter 2, p. 39 •An assortment of (15 minutes) comparisons between relative sizes postcards with pictures of

famous monuments on them

Lesson 2.1 pp. 40 – 49 13 periods •Express one quantity as a fraction of another given •Textbook 6A, Chapter 2, pp. 40 – 49 •Measuring tape ratio, proportion (6.5 hours) their ratio, and vice versa •Workbook 6A, Chapter 2, Worksheets 1 & 2, pp. 27 – 30 •2 sheets of A4 paper

Ratio •Express quantities as a proportion of a whole •BM 2.1: Proportion (Appendix)

Thinking Skills — Analysing •BM 2.2: How much blue paint do we need? (Appendix)

Lesson 2.2 pp. 50 – 54 6.5 periods •Solve simple and multi-step word problems involving ratio •Textbook 6A, Chapter 2, pp. 50 – 54 (3.25 hours) and proportion •Workbook 6A, Chapter 2, Worksheet 3, pp. 31 – 36

Solving word problems

I Know That p. 55 •Reinforce and consolidate skills and concepts taught in •Textbook 6A, Chapter 2, p. 55 •BM 2.3: Golden ratio Chapter 2 •Workbook 6A, Chapter 2, Putting It Together 1, (Appendix)

pp. 37 – 40

Apply What You Know p. 56 21st Century Skills — •Textbook 6A, Chapter 2, p. 56 • Critical Thinking & Problem-Solving •Workbook 6A, Chapter 2, Putting It Together 2,

pp. 41 – 42

Internet Links: • http://www.mathworksheets4kids.com/word-problems/ratio/unknown-from-ratio-simple.pdf • http://www.bbc.co.uk/skillswise/quiz/ma19rati-l1-quiz


Chapter 3: Percentage Scheme-of-Work Total Teaching Time: 21 periods (10 hours 30 minutes)


Chapter Opener p. 57 0.5 periods •Relate the concept of percentage to the real world •Textbook 6A, Chapter 3, p. 57 •Brochures or pamphlets (15 minutes) depicting sales or

discounts •Labels on food bottles

showing the nutritional contents in percentages

Lesson 3.1 pp. 58 – 63 6 periods •Convert fractions with denominators other than 2, 10 or 100 •Textbook 6A, Chapter 3, pp. 58 – 63 •A set of number cards percent (3 hours) into percentages •Workbook 6A, Chapter 3, Worksheet 1, pp. 43 – 44 with numbers 1 to 25

Percentages and fractions •Calculator Thinking Skills — Comparing and Deduction •Worksheet 3.1:

Converting fractions into percentages (Appendix)

•BM 3.2: Number cards 1

(Appendix) •BM 3.3: Concept map

(Appendix)

Lesson 3.2 pp. 64 – 75 14.5 periods •Solve word problems involving percentage •Textbook 6A, Chapter 3, pp. 64 – 75 •Price tags that include and sales tax, (7.25 hours) •Workbook 6A, Chapter 3, Worksheets 2 & 3, pp. 45 – 50 exclude sales tax usual price,

Solving word problems •Worksheet 3.4: Finding the original price, whole (Appendix) selling price,

•Worksheet 3.5: My bank discount, interest book (Appendix)

•BM 3.6: Number cards 2 (Appendix)

•BM 3.7: Working backwards (Appendix)

I Know That p. 75 •Reinforce and consolidate skills and concepts taught in •Textbook 6A, Chapter 3, p. 75 Chapter 3 •Workbook 6A, Chapter 3, Putting It Together 1,

pp. 51 – 56

Apply What You Know p. 76 21 st Century Skills — •Textbook 6A, Chapter 3, p. 76 • Critical Thinking & Problem-Solving •Workbook 6A, Chapter 3, Putting It Together 2, • Communication pp. 57 – 58

Internet Links: • http://www.onlinemathlearning.com/percent-worksheets.html


Chapter 4: Shapes Scheme-of-Work Total Teaching Time: 18 periods (9 hours)


Chapter Opener p. 87 0.5 periods •Identify shapes that can be seen on the kites •Textbook 6A, Chapter 4, p. 87 (15 minutes)

Lesson 4.1 pp. 88 – 95 11 periods •Identify and classify quadrilaterals, and describe •Textbook 6A, Chapter 4, pp. 88 – 95 •Set-squares quadrilateral, (5.5 hours) their properties •Workbook 6A, Chapter 4, Worksheet 1, pp. 59 – 64 •Rulers parallelogram,

Quadrilaterals •4 sheets of A4 paper with rhombus, Thinking Skills — Analysing and Comparing a different quadrilateral on trapezium, kite

each sheet •Coloured pencils •BM 4.1: Parallelogram

(Appendix) •BM 4.2: Rectangle

(Appendix) •BM 4.3: Rhombus

(Appendix) •BM 4.4: Square (Appendix) •BM 4.5: Kite (Appendix) •BM 4.6: Trapezium

(Appendix)

Lesson 4.2 pp. 96 – 100 6.5 periods •Classify polygons according to their properties •Textbook 6A, Chapter 4, pp. 96 – 100 •BM 4.7: Cut-outs polygons (3.25 hours) •Workbook 6A, Chapter 4, Worksheet 2, pp. 65 – 68 (Appendix)

Classifying polygons Thinking Skills — Analysing

I Know That p. 101 •Textbook 6A, Chapter 4, p. 101 •Workbook 6A, Chapter 4, Putting It Together 1, pp. 69 – 72

Apply What You Know 21 st Century Skills — •Textbook 6A, Chapter 4, p. 102 p. 102 • Creativity •Workbook 6A, Chapter 4, Putting It Together 2,

pp. 73 – 74

Internet Links: • ••••

http://www.innerbody.com/image_skelbov/skel36_new_bov.html http://www.icteachers.co.uk/children/sats/symmetry.htm http://www.icteachers.co.uk/children/sats/rotational.htm http://www.math-play.com/Polygon-Game.html http://illuminations.nctm.org/LessonDetail.aspx?id=L277


Chapter 5: Position and Movement Scheme-of-Work Total Teaching Time: 20 periods (10 hours)


Chapter Opener p. 103 0.5 periods •Relate the use of transformations to making mosaic •Textbook 6A, Chapter 5, p. 103 (15 minutes) patterns and pictures

Lesson 5.1 pp. 104 – 114 14 periods •Find the position of a polygon after reflection in a mirror line •Textbook 6A, Chapter 5, pp. 104 – 114 •Sheets of blank A4 paper transformation, (7 hours) that is not parallel to the sides of the polygon •Workbook 6A, Chapter 5, Worksheets 1 & 2, pp. 75 – 78 •Empty bags reflection, rotation

Transformations •Find the position of a polygon after rotation about one of •BM 5.1: Coordinate grid 1 its vertices (Appendix)

•BM 5.2: Cut-outs Thinking Skills — Analysing and Generalising (Appendix)

•Worksheet 5.3: Reflections

(Appendix) •BM 5.4: Coordinate grid 2

(Appendix) •BM 5.5: Polygons

(Appendix)

Lesson 5.2 pp. 115 – 118 5.5 periods •Find the final position of a polygon after more than one •Textbook 6A, Chapter 5, pp. 115 – 118 •1 sheet of square translation (2.75 hours) transformation •Workbook 6A, Chapter 5, Worksheet 3, pp. 79 – 82 grid paper

Combined transformations •Coloured pencils •BM 5.1: Coordinate grid

1 (Appendix)

I Know That pp. 119 – 120 •Reinforce and consolidate skills and concepts taught in •Textbook 6A, Chapter 5, pp. 119 - 120 Chapter 5 •Workbook 6A, Chapter 5, Putting It Together 1,

pp. 83 – 86

Apply What You Know 21 st Century Skills — •Textbook 6A, Chapter 5, pp. 121 – 122 pp. 121 – 122 • Critical Thinking and Problem-Solving •Workbook 6A, Chapter 5, Putting It Together 2,

• ICT Literacy pp. 87 – 88

Internet Links: • http://www.math-drills.com/geometry.shtml • http://www.helpingwithmath.com/printables/worksheets/geometry/8g2_congruence03.htm • http://www.coolmath4kids.com/tesspag1.html • http://www.bbc.co.uk/schools/gcsebitesize/maths/geometry/transformationsrev3.shtml


Revision A — Number Scheme-of-Work Total Teaching Time: 6 periods (3 hours)


pp. 77 – 78 1 period •Write numbers in numerals and words •Textbook 6A, Revision A, pp. 77 – 78 •Worksheet A.1: Number (0.5 hours) •Know the value of each digit in a number and its place in chart (Appendix)

Whole Numbers a place value table •BM A.2: Place value table •Compare and order positive and negative numbers (Appendix) •Complete number patterns involving positive and negative

numbers

pp. 79 – 82 2 periods •Know the value of each digit in a decimal with up to •Textbook 6A, Revision A, pp. 79 – 82 •BM A.3: Fraction cards (1 hour) 3 decimal places (Appendix)

Decimals, Fractions, Ratio •Compare and order decimals with up to 3 decimal places and Percentage •Complete number patterns involving decimals with up to

3 decimal places •Round decimals to the nearest thousand, ten and hundredth •Express a fraction and an improper fraction in its simplest form •Express a fraction as a decimal, rounded to 1 decimal place •Find fraction of a quantity •Express a decimal as a mixed number in its simplest form •Find equivalent ratios •Express a decimal as a fraction and percentage, and vice versa

p. 82 0.5 periods •Find prime numbers between 10 and 20 •Textbook 6A, Revision A, p. 82 •Worksheet A.4: Red light,

(0.25 hours) •Find common factors of two numbers green light (Appendix) Factors, Multiples and •Find common multiples of two numbers Prime Numbers

pp. 82 – 84 1.5 periods • Add, subtract, multiply and divide numbers and decimals •Textbook 6A, Revision A, pp. 82 – 84

(0.75 hours) • Add and subtract mentally Addition, Subtraction, • Find the doubles and halves of numbers Multiplication and Division • Find the quotient and remainder for division

pp. 85 – 86 1 period •Solve word problems involving whole numbers, decimals, •Textbook 6A, Revision A, pp. 85 – 86 (0.5 hours) fractions, ratio, percentage, addition, subtraction, multiplication

Word Problems and division

Internet Links: • •••••••••••

http://www.mathcats.com/explore/reallybignumbers.html http://www.ixl.com/math/grade-3/write-numbers-in-words http://nlvm.usu.edu/en/nav/frames_asid_185_g_1_t_1.html http://www.fuelthebrain.com/Game/play.php?ID=15 http://www.mathsisfun.com/comparing-fractions.html http://www.math.com/school/subject1/lessons/S1U1L3GL.html http://www.5min.com/Video/How-to-Find-the-Simplest-Form-of-a-Fraction-275649659http://www.mathopolis.com/questions/q.php?id=947&site=1&ref=/converting-fractions-decimals.html& qs=947_1362_948_1361_3487_3488_1363_3489_3490_3491 http://www.mathsisfun.com/converting-decimals-fractions.html http://www.mathsisfun.com/converting-fractions-decimals.html http://www.mathsisfun.com/converting-percents-fractions.htmlhttp://www.mathsisfun.com/converting-fractions-percents.html

Revision A Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 6

Revision B — Geometry Scheme-of-Work Total Teaching Time: 7 periods (3 hours 30 minutes)


pp. 123 – 126 2 periods • Describe prisms •Textbook 6A, Revision B, pp. 123 – 126 •BM B.1: Nets (Appendix)

(1 hour) • Classify polygons according to their properties •BM B.2: Quadrilaterals Shapes, Line and Solids • Identify lines of symmetry in polygons (Appendix)

• Identify cuboids using their properties • Identify and classify triangles, and describe their properties • Complete patterns given the lines of symmetry • Recognise and identify perpendicular and parallel lines • Identify and classify quadrilaterals, and describe their

properties

pp. 126 – 128 2 periods • Name angles •Textbook 6A, Revision B, pp. 126 – 128

(1 hour) • Measure and draw angles using a protractor Angles • Describe angles by estimating their size

• Know the properties of angles and use them to find unknown angles

pp. 129 – 134 3 periods • Follow and give directions to get to places •Textbook 6A, Revision B, pp. 129 – 134 •Chalk (1.5 hours) • Follow and give directions to

get to places with grid references •Worksheet B.3: Points on a Position and Movement • Name and mark points in a coordinate grid coordinate grid (Appendix)

• Find the position of a polygon after reflection in a mirror line that is not parallel to the sides of the polygon

•Find the position of a polygon after rotation about one of its vertices

•Find the final position of a polygon after more than one transformation

•Identify the transformations a polygon goes through, given its final position

Internet Links: • http://www.learner.org/courses/learningmath/geometry/session7/part_a/index.html#a1 • http://www.mathsisfun.com/geometry/protractor-using.html • http://www.helpingwithmath.com/printables/worksheets/geometry/8g5angle_problems01.htm • http://www.mangahigh.com/en/games/transtar?localeset=en

Revision B Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 6

Documents

€¦ · Web viewbook (Appendix) • BM 3.6 ... House Pte Ltd Maths SMART Teacher's Guide Grade 6 ... involving decimals with up to . 3 decimal places • Round decimals to