Chapter 9: Mental Skills

Scheme-of-Work

Total Teaching Time: 27 periods (13 hours 30 minutes)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Chapter Opener p. 1 0.5 periods •Recognise the usefulness of using strategies in mental math •Textbook 4B, Chapter 9, p. 1

(15 minutes) to solve real-world problems

Lesson 9.1 pp. 2 –9 8 periods •Count on in thousands, hundreds, tens and ones to add •Textbook 4B, Chapter 9, pp. 2 –9 •100-cubes and 10-cubes count on,

(4 hours) mentally •Workbook 4B, Chapter 9, Worksheet 1, pp. 1 –6 •BM 9.1: Counting on in add mentally

Mental addition •Add near multiples of 10, 100 and 1000 to four-digit numbers thousands, hundreds, tens

mentallyand ones (Appendix)

Thinking Skills —Analysing and Comparing

Lesson 9.2 pp. 10 –17 8 periods •Count back in thousands, hundreds, tens and ones to •Textbook 4B, Chapter 9, pp. 10 –17 •Worksheet 9.2: Mental count back,

(4 hours) subtract mentally •Workbook 4B, Chapter 9, Worksheet 2, pp. 7 – 12 subtraction (Appendix) subtract

Mental subtraction •Subtract near multiples of 10, 100 and 1000 from four-digit mentally

numbers mentally

Thinking skills —Analysing and Reasoning

Lesson 9.3 pp. 18 –23 6 periods •Find doubles of multiples of 10, 100 and 1000 and their •Textbook 4B, Chapter 9, pp. 18 – 23 •2 different coloureddouble, half

(3 hours) related halves •Workbook 4B, Chapter 9, Worksheet 3, pp. 13 –16 markers

Find doubles and •BM 9.3: Number cards

halves mentally Thinking skills —Analysing, Reasoning and Identifyingpatterns(Appendix)

•BM 9.4: Number

gridcharts (Appendix)

Lesson 9.4 pp. 24 –27 4.5 periods •Multiply multiples of 10 and 100 by one-digit numbers •Textbook 4B, Chapter 9, pp. 24 –27 multiply

(2.25 hours) mentally •Workbook 4B, Chapter 9, Worksheet 4, pp. 17 – 18 mentally

Mental multiplication •Multiply numbers with factors of 2 mentally

Thinking skills —Analysing and Reasoning

I Know That p. 27 •Reinforce and consolidate skills and concepts taught in •Textbook 4B, Chapter 9, p. 27

Chapter 9 •Workbook 4B, Chapter 9, Putting It Together 1, pp. 19 –22

Apply What You Know p. 28 21stCentury Skills —•Textbook 4B, Chapter 9, p. 28

• Communication•Workbook 4B, Chapter 9, Putting It Together 2,

Critical Thinking & Problem-Solving pp. 23 –24

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Chapter 9 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 4

Chapter 10: Fractions

Scheme-of-Work

Total Teaching Time: 20 periods (10 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Chapter Opener p. 29 1 period •Introduce the concept of mixed numbers •Textbook 4B, Chapter 10, p. 29 •BM 10.1: Pie cut-outs

(30 minutes) (Appendix)

•Coloured counters

Lesson 10.1 pp. 30 –36 6 periods •Recognise mixed numbers and improper fractions •Textbook 4B, Chapter 10, pp. 30 –36 •BM 10.2: Improper mixed number

(3 hours) •Workbook 4B, Chapter 10, Worksheet 1, pp. 25 –28 fractions (Appendix)

Mixed numbers Thinking Skills — Comparing and Analysing•Worksheet 10.3: Improper

fractions (Appendix)

Lesson 10.2 pp. 37 –42 6 periods •Simplify mixed numbers and improper fractions, and •Textbook 4B, Chapter 10, pp. 37 –42 •BM 10.4: Mixed number improper fraction,

(3 hours) represent them on a number line •Workbook 4B, Chapter 10, Worksheet 2, pp. 29 –30 to improper fraction proper fraction

Improper fractions (Appendix)

Thinking Skills — Comparing, Reasoning and Deduction•BM 10.5: Improper

fraction to mixed number

(Appendix)

Lesson 10.3 pp. 43 –48 7 periods •Convert mixed numbers to improper fractions, and vice •Textbook 4B, Chapter 10, pp. 43 –48 •Two 10-sided dice

(3.5 hours) versa •Workbook 4B, Chapter 10, Worksheet 3, pp. 31 –34

Converting fractions

Thinking Skills — Comparing and Reasoning

I Know That p. 49 •Reinforce and consolidate skills and concepts taught in •Textbook 4B, Chapter 10, p. 49

Chapter 10 •Workbook 4B, Chapter 10, Putting It Together 1,

pp. 35 –38

Apply What You Know p. 50 21stCentury Skills —•Textbook 4B, Chapter 10, p. 50

• Communication •Workbook 4B, Chapter 10, Putting It Together 2, pp. 39 –40

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Chapter 10 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 4

Chapter 11: Decimals

Scheme-of-Work

Total Teaching Time: 29 periods (14 hours 30 minutes)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Chapter Opener p. 51 0.5 periods •Understand what are decimal numbers and know that it is •Textbook 4B, Chapter 11, p. 51

(15 minutes) important to learn to compare them

Lesson 11.1 pp. 52 –57 7.5 periods •Write tenths as decimals •Textbook 4B, Chapter 11, pp. 52 - 57 •Worksheet 11.1: Writing tenth, decimal,

(3.75 hours) •Workbook 4B, Chapter 11, Worksheet 1, pp. 41 - 44 tenths as decimals decimal point

Understanding tenths Thinking Skills —Analysing, Identifying patterns,(Appendix)

Comparing and Reasoning

Lesson 11.2 pp. 58 – 64 7.5 periods •Write hundredths as decimals •Textbook 4B, Chapter 11, pp. 58 –64 •Worksheet 11.2: Writing hundredth

(3.75 hours) •Workbook 4B, Chapter 11, Worksheet 2, pp. 45 –48 hundredths as decimals

Understanding hundredths (Appendix)

Lesson 11.3 pp. 65 –67 2.5 periods •Compare and order decimals with up to 2 decimal places •Textbook 4B, Chapter 11, pp. 65 –67

(1.25 hours) •Workbook 4B, Chapter 11, Worksheet 3, pp. 49 –50

Comparing and ordering

decimals

Lesson 11.4 pp. 68 – 71 2.5 periods •Describe and continue number patterns by counting on or •Textbook 4B, Chapter 11, pp. 68 –71

(1.25 hours) back from decimals with 1 or 2 decimal places •Workbook 4B, Chapter 11, Worksheet 4, pp. 51 –52

Number patterns

Lesson 11.5 pp. 72 –76 6 periods •Round a decimal with 1 or 2 decimal places to the nearest •Textbook 4B, Chapter 11, pp. 72 - 76 round to the

(3 hours) whole number •Workbook 4B, Chapter 11, Worksheets 5 & 6, pp. 53 –56 nearest whole

Rounding decimals •Round a decimal with 2 decimal places to the nearest tenth number, round

to the nearest

Thinking Skills — Reasoningtenth, round to 1

decimalplace

Chapter 11 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 4

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Lesson 11.6 pp. 77 –80 2.5 periods •Write fractions as decimals, and vice versa •Textbook 4B, Chapter 11, pp. 77 – 80 •BM 11.3: Equivalent

(1.25 hours) •Workbook 4B, Chapter 11, Worksheet 7, pp. 57 – 58 fractions (Appendix)

Fractions and decimals Thinking Skills — Comparing, Reasoning and Analysing

I Know That pp. 81 – 82 •Reinforce and consolidate skills and concepts taught in •Textbook 4B, Chapter 11, pp. 81 –82

Chapter 11 •Workbook 4B, Chapter 11, Putting It Together 1,

pp. 59 –62

Apply What You Know p. 82 21stCentury Skills —•Textbook 4B, Chapter 11, p. 82

• Critical Thinking & Problem-Solving•Workbook 4B, Chapter 11, Putting It Together 2,

pp. 63 – 64

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Chapter 11 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 4

Chapter 12: Measurement

Scheme-of-Work

Total Teaching Time: 22 periods (11 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Chapter Opener p. 83 1 period •Relate to real-life situations where measurements of •Textbook 4B, Chapter 12, p. 83 •Two boxes of different

(30 minutes) lengths, masses and capacities are being used and sizes and masses

compared•Measuring tape

•Weighing scale

Lesson 12.1 pp. 84 – 90 6 periods •Estimate, measure and compare lengths in centimetres•Textbook 4B, Chapter 12, pp. 84 – 90 •Ruler or measuring tape millimetre

(3 hours) and millimetres•Workbook 4B, Chapter 12, Worksheet 1, pp. 65 – 68 •BM 12.1: Centimetre ruler

Length in centimetres and •Know the relationship between centimetres and millimetres(Appendix)

millimetres•Write centimetres and millimetres in millimetres, and •BM 12.2: Millimetre ruler

vice versa (Appendix)

•BM 12.3: Measuring

Thinking skills —Comparing and Reasoning lengths (Appendix)

Lesson 12.2 pp. 91 –98 9 periods •Write kilometres and metres in metres, and vice versa •Textbook 4B, Chapter 12, pp. 91 – 98 •Worksheet 12.4:

(4.5 hours) •Write kilograms and grams in grams, and vice versa •Workbook 4B, Chapter 12, Worksheet 2, pp. 69 – 74 Converting masses

More on converting •Write litres and millilitres in millilitres, and vice versa (Appendix)

measurements•Worksheet 12.5:

Thinking skills —Comparing and ReasoningConverting capacities

(Appendix)

•BM 12.6: Word problems

(Appendix)

Lesson 12.3 pp. 99 –104 6 periods •Read measurements from scales and write them using •Textbook 4B, Chapter 12, pp. 99 – 104 •5-kg weighing scale (with

(3 hours) decimals •Workbook 4B, Chapter 12, Worksheet 3, pp. 75 – 76 1

Measurement using divisions of10 kg)

decimals•Items with masses of less than 5 kg

•Measuring tapes

I Know That p. 105 •Reinforce and consolidate skills and concepts taught in •Textbook 4B, Chapter 12, p. 105

Chapter 12 •Workbook 4B, Chapter 12, Putting It Together 1,

pp. 77 – 80

Apply What You Know 21stCentury Skills —•Textbook 4B, Chapter 12, p. 106

p. 106 • Communication•Workbook 4B, Chapter 12, Putting It Together 2,

• Critical Thinking & Problem-Solving pp. 81 – 82

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Chapter 12 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 4

Chapter 13: Time

Scheme-of-Work

Total Teaching Time: 16 periods (8 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Chapter Opener p. 107 0.5 periods •Understand that we can count on in hours and minutes •Textbook 4B, Chapter 13, p. 107

(15 minutes) to find the duration of an event

Lesson 13.1 pp. 108 –113 7 periods •Add and subtract time given in hours and minutes •Textbook 4B, Chapter 13, pp. 108 – 113 •Worksheet 13.1: Converting

(3.5 hours) •Workbook 4B, Chapter 13, Worksheet 1, pp. 83 – 86 time in minutes (Appendix)

Adding and subtracting time •Worksheet 13.2: Converting

time in hours and minutes

(Appendix)

•Worksheet 13.3: Adding

and subtracting time 1

(Appendix)

•Worksheet 13.4: Adding

and subtracting time 2

(Appendix)

Lesson 13.2 pp. 114 – 121 8.5 periods •Calculate duration in hours and minutes •Textbook 4B, Chapter 13, pp. 114 – 121 •BM 13.5: Finding duration time line, duration

(4.25 hours) •Calculate the end time given the duration and the start time •Workbook 4B, Chapter 13, Worksheet 2, pp. 87 – 90 (Appendix)

Duration in hours and •Calculate the start time given the duration and the end time •BM 13.6: Time cards

minutes(Appendix)

Thinking Skills — Comparing, Reasoning, Observing and •BM 13.7: Duration cards

Analysing(Appendix)

•Worksheet 13.8: Duration

of time (Appendix)

I Know That pp. 121 –122 •Reinforce and consolidate skills and concepts taught in •Textbook 4B, Chapter 13, pp. 121 – 122

Chapter 13 •Workbook 4B, Chapter 13, Putting It Together 1,

pp. 91 – 94

Apply What You Know 21st Century Skills —•Textbook 4B, Chapter 13, p. 122

p. 122 • Critical Thinking & Problem-Solving•Workbook 4B, Chapter 13, Putting It Together 2,

pp. 95 – 96

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Chapter 13 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 4

Chapter 14: Area and Perimeter

Scheme-of-Work

Total Teaching Time: 22 periods (11 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Chapter Opener p. 123 0.5 periods •Introduce the concept of area as the amount of •Textbook 4B, Chapter 14, p. 123

(15 minutes) surface covered

Lesson 14.1 pp. 124 –126 4 periods •Find the areas of figures drawn on square grids •Textbook 4B, Chapter 14, pp. 124 – 126 •Some pieces of square square unit, area

(2 hours) •Recognise that area is measured in square units •Workbook 4B, Chapter 14, Worksheet 1, pp. 97 – 100 paper

Finding area in square units •2 pairs of scissors

Thinking Skills —Analysing and Identifying patterns •BM 14.1: Small squares,

big squares (Appendix)

•BM 14.2: Square grid

(Appendix)

Lesson 14.2 pp. 127 – 132 7 periods •Recognise that area is measured in square centimetres(cm2) •Textbook 4B, Chapter 14, pp. 127 – 132 •4 metre rulers square

(3.5 hours) or square metres(m2)•Workbook 4B, Chapter 14, Worksheet 2, pp. 101 –106 •Worksheet 14.3: Areas of centimetres (cm2),

Finding area in standard figures (Appendix) square metres (m2)

unitsThinking Skills —Analysing

Lesson 14.3 pp. 133 –134 4.5 periods •Find the perimeters of figures drawn on square grids •Textbook 4B, Chapter 14, pp. 133 – 134 •Wires perimeter

(2.25 hours) •Workbook 4B, Chapter 14, Worksheet 3, pp. 107 – 108 •Strings

Finding perimeter

Lesson 14.4 pp. 135 –138 6 periods •Draw and compare areas and perimeters of different •Textbook 4B, Chapter 14, pp. 135 – 138 •4 geoboards

(3 hours) figures on a grid •Workbook 4B, Chapter 14, Worksheet 4, pp. 109 – 112 •4 rubber bands

Comparing areas and •BM 14.4: Same figures

perimeters(Appendix)

•Worksheet 14.5: Least

number of tiles (Appendix)

•Worksheet 14.6: Recording

Tables (Appendix)

•BM 14.7: Figures on a

geoboard (Appendix)

I Know That p. 139 •Reinforce and consolidate skills and concepts taught in •Textbook 4B, Chapter 14, p. 139

Chapter 14 •Workbook 4B, Chapter 14, Putting It Together 1,

pp. 113 –118

Apply What You Know 21st Century Skills —•Textbook 4B, Chapter 14, p. 140

p. 140 • ICT Literacy•Workbook 4B, Chapter 14, Putting It Together 2,

• Critical Thinking & Problem-Solving pp. 119 – 120

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Chapter 14 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 4

Chapter 15: Handling Data

Scheme-of-Work

Total Teaching Time: 17 periods (8 hours 30 minutes)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Chapter Opener p. 141 0.5 periods •Develop understanding of the need to categorise and •Textbook 4B, Chapter 15, p. 141

(15 minutes) organise objects

Lesson 15.1 pp. 142 – 146 8 periods •Sort numbers or objects using Carroll diagrams •Textbook 4B, Chapter 15, pp. 142 – 146 •Worksheet 15.1: Carroll Carroll diagram

(4 hours) •Interpret data in Carroll diagrams •Workbook 4B, Chapter 15, Worksheet 1, pp. 121 – 124 diagrams (Appendix)

Carroll diagrams

Thinking Skills — Comparing and Reasoning

Lesson 15.2 pp. 147 – 153 8.5 periods •Sort numbers or objects using Venn diagrams •Textbook 4B, Chapter 15, pp. 147 – 153 •BM 15.2: Venn diagram Venn diagram

(4.25 hours) •Interpret data in Venn diagrams •Workbook 4B, Chapter 15, Worksheet 2, pp. 125 – 128 (Appendix)

Venn diagrams •Worksheet 15.3: Venn

Thinking Skills —Classifying and Analysingdiagrams (Appendix)

I Know That p. 154 •Reinforce and consolidate skills and concepts taught in •Textbook 4B, Chapter 15, p. 154

Chapter 15 •Workbook 4B, Chapter 15, Putting It Together 1,

pp. 129 – 134

Apply What You Know 21st Century Skills —•Textbook 4B, Chapter 15, pp. 155 – 156

pp. 155 – 156 • ICT Literacy •Workbook 4B, Chapter 15, Putting It Together 2,

• Communicationpp. 135 – 136

• Creativity

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Chapter 15 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 4

Problem-Solving

Scheme-of-Work

Total Teaching Time: 6 periods (3 hours)

Lesson Teaching Time Specific Learning Outcomes/Skills Resources Materials Vocabulary

Problem-Solving 6 periods •Use bar models to solve more advanced word problems •Textbook 4B, Problem-Solving, pp. 157 – 168 bar models, part-

pp. 157 – 168 (3 hours) whole concept,

method of 'cutting

the units', method

of 'shifting the

units', proportions

concept

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