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
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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