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

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

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 21stCentury Skills —•Textbook 6A, Chapter 1, p. 38

Critical Thinking & Problem-Solving•Workbook 6A, Chapter 1, Putting It Together 2,

• Communication pp. 25 – 26

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•••

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

Chapter 2: Ratio

Scheme-of-Work

Total Teaching Time: 20 periods (10 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

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

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Chapter 2 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 6

Chapter 3: Percentage

Scheme-of-Work

Total Teaching Time: 21 periods (10 hours 30 minutes)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

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

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Chapter 3 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 6

Chapter 4: Shapes

Scheme-of-Work

Total Teaching Time: 18 periods (9 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

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 Comparinga 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

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•••

Chapter 4 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 6

Chapter 5: Position and Movement

Scheme-of-Work

Total Teaching Time: 20 periods (10 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

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:

Chapter 5 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 6

Revision A — Number

Scheme-of-Work

Total Teaching Time: 6 periods (3 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

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

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•••

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)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

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

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