Chapter 9: Mental Skills
Scheme-of-Work
Total Teaching Time: 27 periods (13 hours 30 minutes)
Lesson
Chapter Opener p. 1
Lesson 9.1 pp. 2 – 9
Teaching Time
0.5 periods
(15 minutes)
8 periods
(4 hours)
Mental addition
Specific Learning Outcomes/Skills
Resources
•Recognise the usefulness of using strategies in mental math
Materials
Vocabulary
•Textbook 4B, Chapter 9, p. 1
to solve real-world problems
•Count on in thousands, hundreds, tens and ones to add
mentally
•Add near multiples of 10, 100 and 1000 to four-digit numbers
mentally
•Textbook 4B, Chapter 9, pp. 2 – 9
•Workbook 4B, Chapter 9, Worksheet 1, pp. 1 – 6
•100-cubes and 10-cubes
•BM 9.1: Counting on in
count on,
add mentally
thousands, hundreds, tens
and ones (Appendix)
Thinking Skills — Analysing and Comparing
Lesson 9.2 pp. 10 – 17
8 periods
(4 hours)
Mental subtraction
•Count back in thousands, hundreds, tens and ones to
subtract mentally
•Subtract near multiples of 10, 100 and 1000 from four-digit
numbers mentally
•Textbook 4B, Chapter 9, pp. 10 – 17
•Workbook 4B, Chapter 9, Worksheet 2, pp. 7 – 12
•Worksheet 9.2: Mental
•Textbook 4B, Chapter 9, pp. 18 – 23
•Workbook 4B, Chapter 9, Worksheet 3, pp. 13 – 16
•2 different coloured
subtraction (Appendix)
count back,
subtract
mentally
Thinking skills — Analysing and Reasoning
Lesson 9.3 pp. 18 – 23
6 periods
(3 hours)
Find doubles and
halves mentally
Lesson 9.4 pp. 24 – 27
Mental multiplication
•Find doubles of multiples of 10, 100 and 1000 and their
related halves
Thinking skills — Analysing, Reasoning and Identifying patterns
4.5 periods
(2.25 hours)
•Multiply multiples of 10 and 100 by one-digit numbers
mentally
•Multiply numbers with factors of 2 mentally
•Textbook 4B, Chapter 9, pp. 24 – 27
•Workbook 4B, Chapter 9, Worksheet 4, pp. 17 – 18
double, half
markers
•BM 9.3: Number cards
(Appendix)
•BM 9.4: Number
gridcharts (Appendix)
multiply
mentally
Thinking skills — Analysing and Reasoning
I Know That p. 27
•Reinforce and consolidate skills and concepts taught in
Chapter 9
Apply What You Know p. 28
21 st Century Skills —
• Communication
• Critical Thinking & Problem-Solving
•Textbook 4B, Chapter 9, p. 27
•Workbook 4B, Chapter 9, Putting It Together 1, pp. 19 – 22
•Textbook 4B, Chapter 9, p. 28
•Workbook 4B, Chapter 9, Putting It Together 2,
pp. 23 – 24
Internet Links:
•
•
•
http://www.uh.edu/engines/epi1748.htm
http://www.youtube.com/watch?v=uG1fxiO8C64&feature=related
http://www.pleasanton.k12.ca.us/lesweb/fourth/reteach/r4-1.pdf
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
Chapter Opener p. 29
Lesson 10.1 pp. 30 – 36
Teaching Time
1 period
(30 minutes)
6 periods
(3 hours)
Resources
•Introduce the concept of mixed numbers
•Textbook 4B, Chapter 10, p. 29
6 periods
(3 hours)
•Recognise mixed numbers and improper fractions
•Textbook 4B, Chapter 10, pp. 30 – 36
•Workbook 4B, Chapter 10, Worksheet 1, pp. 25 – 28
•Simplify mixed numbers and improper fractions, and
•Textbook 4B, Chapter 10, pp. 37 – 42
•Workbook 4B, Chapter 10, Worksheet 2, pp. 29 – 30
represent them on a number line
Thinking Skills — Comparing, Reasoning and Deduction
7 periods
(3.5 hours)
Vocabulary
•BM 10.1: Pie cut-outs
(Appendix)
Improper fractions
Lesson 10.3 pp. 43 – 48
Materials
•Coloured counters
Thinking Skills — Comparing and Analysing
Mixed numbers
Lesson 10.2 pp. 37 – 42
Specific Learning Outcomes/Skills
•Convert mixed numbers to improper fractions, and vice
versa
•Textbook 4B, Chapter 10, pp. 43 – 48
•Workbook 4B, Chapter 10, Worksheet 3, pp. 31 – 34
•BM 10.2: Improper
mixed number
fractions (Appendix)
•Worksheet 10.3: Improper
fractions (Appendix)
•BM 10.4: Mixed number
to improper fraction
(Appendix)
•BM 10.5: Improper
fraction to mixed number
(Appendix)
improper fraction,
proper fraction
•Two 10-sided dice
Converting fractions
Thinking Skills — Comparing and Reasoning
I Know That p. 49
•Reinforce and consolidate skills and concepts taught in
Chapter 10
•Textbook 4B, Chapter 10, p. 49
•Workbook 4B, Chapter 10, Putting It Together 1,
pp. 35 – 38
Apply What You Know p. 50
21 st Century Skills —
• Communication
•Textbook 4B, Chapter 10, p. 50
•Workbook 4B, Chapter 10, Putting It Together 2, pp. 39 – 40
Internet Links:
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•
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http://www.sheppardsoftware.com/mathgames/fractions/memory_fractions3.htm•
http://www.sheppardsoftware.com/mathgames/fractions/reduce_fractions_shoot.htm
http://www.mathplayground.com/fractions_improper.html
http://www.infoplease.com/math/knowledgebox/player.html?movie=sfw50629
http://www.infoplease.com/math/knowledgebox/player.html?movie=sfw56651
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
Chapter Opener p. 51
Lesson 11.1 pp. 52 – 57
Teaching Time
0.5 periods
(15 minutes)
7.5 periods
(3.75 hours)
Resources
•Understand what are decimal numbers and know that it is
7.5 periods
(3.75 hours)
2.5 periods
(1.25 hours)
Vocabulary
•Textbook 4B, Chapter 11, p. 51
•Write tenths as decimals
•Write hundredths as decimals
•Textbook 4B, Chapter 11, pp. 52 - 57
•Workbook 4B, Chapter 11, Worksheet 1, pp. 41 - 44
•Worksheet 11.1: Writing
•Textbook 4B, Chapter 11, pp. 58 – 64
•Workbook 4B, Chapter 11, Worksheet 2, pp. 45 – 48
•Worksheet 11.2: Writing
Understanding hundredths
Lesson 11.3 pp. 65 – 67
Materials
important to learn to compare them
Thinking Skills — Analysing, Identifying patterns,
Comparing and Reasoning
Understanding tenths
Lesson 11.2 pp. 58 – 64
Specific Learning Outcomes/Skills
•Compare and order decimals with up to 2 decimal places
•Textbook 4B, Chapter 11, pp. 65 – 67
•Workbook 4B, Chapter 11, Worksheet 3, pp. 49 – 50
•Describe and continue number patterns by counting on or
•Textbook 4B, Chapter 11, pp. 68 – 71
•Workbook 4B, Chapter 11, Worksheet 4, pp. 51 – 52
tenths as decimals
(Appendix)
tenth, decimal,
decimal point
hundredth
hundredths as decimals
(Appendix)
Comparing and ordering
decimals
Lesson 11.4 pp. 68 – 71
2.5 periods
(1.25 hours)
back from decimals with 1 or 2 decimal places
Number patterns
Lesson 11.5 pp. 72 – 76
Rounding decimals
6 periods
(3 hours)
•Round a decimal with 1 or 2 decimal places to the nearest
whole number
•Round a decimal with 2 decimal places to the nearest tenth
•Textbook 4B, Chapter 11, pp. 72 - 76
•Workbook 4B, Chapter 11, Worksheets 5 & 6, pp. 53 – 56
Thinking Skills — Reasoning
Chapter 11 Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
round to the
nearest whole
number, round
to the nearest
tenth, round to 1
decimal place
Maths SMART Teacher's Guide Grade 4
Lesson
Lesson 11.6 pp. 77 – 80
Teaching Time
2.5 periods
(1.25 hours)
Specific Learning Outcomes/Skills
Resources
•Write fractions as decimals, and vice versa
Fractions and decimals
Thinking Skills — Comparing, Reasoning and Analysing
I Know That pp. 81 – 82
•Reinforce and consolidate skills and concepts taught in
Chapter 11
•Textbook 4B, Chapter 11, pp. 77 – 80
•Workbook 4B, Chapter 11, Worksheet 7, pp. 57 – 58
Materials
Vocabulary
•BM 11.3: Equivalent
fractions (Appendix)
•Textbook 4B, Chapter 11, pp. 81 – 82
•Workbook 4B, Chapter 11, Putting It Together 1,
pp. 59 – 62
Apply What You Know p. 82
21 st Century Skills —
• Critical Thinking & Problem-Solving
•Textbook 4B, Chapter 11, p. 82
•Workbook 4B, Chapter 11, Putting It Together 2,
pp. 63 – 64
Internet Links:
•
•
•
•
•
•
•
•
•
•
http://www.computersmiths.com/chineseinvention/decimal.htm
http://www.sheppardsoftware.com/mathgames/decimals/DecimalModels10.htm
http://www.aaamath.com/dec37bx3.htm#section2
http://www.ezschool.com/Games/CompareDecimals.html
http://www.mathsisfun.com/numbers/ordering-game.php
http://www.sheppardsoftware.com/mathgames/decimals/BalloonDecimalPatterns.htm
http://www.math-play.com/rounding-decimals-game-1/rounding-decimals-game.html
http://mrnussbaum.com/rounding/
http://interactive.onlinemathlearning.com/dec_round.php?action=generate&mode=0.1&numProblems=10
http://www.sheppardsoftware.com/mathgames/fractions/FractionsToDecimals.htm
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
Chapter Opener p. 83
Lesson 12.1 pp. 84 – 90
Teaching Time
1 period
(30 minutes)
6 periods
(3 hours)
Length in centimetres and
millimetres
Specific Learning Outcomes/Skills
Resources
•Relate to real-life situations where measurements of
•Textbook 4B, Chapter 12, p. 83
lengths, masses and capacities are being used and
compared
9 periods
(4.5 hours)
More on converting
measurements
and millimetres
•Know the relationship between centimetres and millimetres
•Write centimetres and millimetres in millimetres, and
vice versa
•Textbook 4B, Chapter 12, pp. 84 – 90
•Workbook 4B, Chapter 12, Worksheet 1, pp. 65 – 68
6 periods
(3 hours)
•Read measurements from scales and write them using
decimals
•Ruler or measuring tape
•BM 12.1: Centimetre ruler
millimetre
(Appendix)
•BM 12.2: Millimetre ruler
(Appendix)
•BM 12.3: Measuring
lengths (Appendix)
•Textbook 4B, Chapter 12, pp. 91 – 98
•Workbook 4B, Chapter 12, Worksheet 2, pp. 69 – 74
•Worksheet 12.4:
•Textbook 4B, Chapter 12, pp. 99 – 104
•Workbook 4B, Chapter 12, Worksheet 3, pp. 75 – 76
•5-kg weighing scale (with
Thinking skills — Comparing and Reasoning
Lesson 12.3 pp. 99 – 104
•Two boxes of different
sizes and masses
•Estimate, measure and compare lengths in centimetres
•Write kilometres and metres in metres, and vice versa
•Write kilograms and grams in grams, and vice versa
•Write litres and millilitres in millilitres, and vice versa
Vocabulary
•Measuring tape
•Weighing scale
Thinking skills — Comparing and Reasoning
Lesson 12.2 pp. 91 – 98
Materials
Measurement using
Converting masses
(Appendix)
•Worksheet 12.5:
Converting capacities
(Appendix)
•BM 12.6: Word problems
(Appendix)
1
divisions of 10 kg)
•Items with masses of less
decimals
than 5 kg
I Know That p. 105
•Reinforce and consolidate skills and concepts taught in
Chapter 12
•Textbook 4B, Chapter 12, p. 105
•Workbook 4B, Chapter 12, Putting It Together 1,
•Measuring tapes
pp. 77 – 80
Apply What You Know
p. 106
21st Century Skills —
• Communication
• Critical Thinking & Problem-Solving
•Textbook 4B, Chapter 12, p. 106
•Workbook 4B, Chapter 12, Putting It Together 2,
pp. 81 – 82
Internet Links:
•
•
•
•
•
•
http://orchids.wikia.com/wiki/Platystele_jungermannioides
http://www.homeschoolmath.net/worksheets/measuring.php
http://www.bbc.co.uk/skillswise/game/ma22leng-game-build-a-shed
http://www.sheppardsoftware.com/mathgames/measurement/MeasurementMeters.htm•
http://www.funbrain.com/cgi-bin/meas.cgi?A1=s&A2=1&A3=1
http://www.ictgames.com/weight.html
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
Chapter Opener p. 107
Lesson 13.1 pp. 108 – 113
Teaching Time
0.5 periods
(15 minutes)
7 periods
(3.5 hours)
Specific Learning Outcomes/Skills
Resources
•Understand that we can count on in hours and minutes
Materials
Vocabulary
•Textbook 4B, Chapter 13, p. 107
to find the duration of an event
•Add and subtract time given in hours and minutes
•Textbook 4B, Chapter 13, pp. 108 – 113
•Workbook 4B, Chapter 13, Worksheet 1, pp. 83 – 86
Adding and subtracting time
•Worksheet 13.1: Converting
time in minutes (Appendix)
•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
Duration in hours and
minutes
8.5 periods
(4.25 hours)
•Calculate duration in hours and minutes
•Calculate the end time given the duration and the start time
•Calculate the start time given the duration and the end time
•Textbook 4B, Chapter 13, pp. 114 – 121
•Workbook 4B, Chapter 13, Worksheet 2, pp. 87 – 90
Thinking Skills — Comparing, Reasoning, Observing and
Analysing
I Know That pp. 121 – 122
•Reinforce and consolidate skills and concepts taught in
Chapter 13
•BM 13.5: Finding duration
time line, duration
(Appendix)
•BM 13.6: Time cards
(Appendix)
•BM 13.7: Duration cards
(Appendix)
•Worksheet 13.8: Duration
of time (Appendix)
•Textbook 4B, Chapter 13, pp. 121 – 122
•Workbook 4B, Chapter 13, Putting It Together 1,
pp. 91 – 94
Apply What You Know
p. 122
21 st Century Skills —
• Critical Thinking & Problem-Solving
•Textbook 4B, Chapter 13, p. 122
•Workbook 4B, Chapter 13, Putting It Together 2,
pp. 95 – 96
Internet Links:
•
•
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/timetables/index.htm
http://www.dailymotion.com/video/xeajzw_how-to-find-end-time-from-duration_tech
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
Chapter Opener p. 123
Lesson 14.1 pp. 124 – 126
Teaching Time
0.5 periods
(15 minutes)
4 periods
(2 hours)
Specific Learning Outcomes/Skills
Resources
•Introduce the concept of area as the amount of
•Textbook 4B, Chapter 14, p. 123
•Find the areas of figures drawn on square grids
•Recognise that area is measured in square units
•Textbook 4B, Chapter 14, pp. 124 – 126
•Workbook 4B, Chapter 14, Worksheet 1, pp. 97 – 100
Thinking Skills — Analysing and Identifying patterns
7 periods
(3.5 hours)
Finding area in standard
units
Lesson 14.3 pp. 133 – 134
Vocabulary
surface covered
Finding area in square units
Lesson 14.2 pp. 127 – 132
Materials
•Recognise that area is measured in square centimetres (cm2)
or square metres (m2)
•Textbook 4B, Chapter 14, pp. 127 – 132
•Workbook 4B, Chapter 14, Worksheet 2, pp. 101 –106
•Some pieces of square
square unit, area
paper
•2 pairs of scissors
•BM 14.1: Small squares,
big squares (Appendix)
•BM 14.2: Square grid
(Appendix)
•4 metre rulers
•Worksheet 14.3: Areas of
figures (Appendix)
square
centimetres (cm2),
square metres (m2)
Thinking Skills — Analysing
4.5 periods
(2.25 hours)
•Find the perimeters of figures drawn on square grids
•Textbook 4B, Chapter 14, pp. 133 – 134
•Workbook 4B, Chapter 14, Worksheet 3, pp. 107 – 108
•Wires
•Strings
•Draw and compare areas and perimeters of different
•Textbook 4B, Chapter 14, pp. 135 – 138
•Workbook 4B, Chapter 14, Worksheet 4, pp. 109 – 112
•4 geoboards
•4 rubber bands
•BM 14.4: Same figures
perimeter
Finding perimeter
Lesson 14.4 pp. 135 – 138
6 periods
(3 hours)
figures on a grid
Comparing areas and
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
Chapter 14
•Textbook 4B, Chapter 14, p. 139
•Workbook 4B, Chapter 14, Putting It Together 1,
pp. 113 –118
Apply What You Know
p. 140
21st Century Skills —
• ICT Literacy
• Critical Thinking & Problem-Solving
•Textbook 4B, Chapter 14, p. 140
•Workbook 4B, Chapter 14, Putting It Together 2,
pp. 119 – 120
Internet Links:
•
•
http://www.ixl.com/math/grade-3/area
http://www.cut-the-knot.org/Curriculum/Geometry/Geoboard.shtml
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
Chapter Opener p. 141
Lesson 15.1 pp. 142 – 146
Teaching Time
0.5 periods
(15 minutes)
8 periods
(4 hours)
Specific Learning Outcomes/Skills
•Develop understanding of the need to categorise and
Resources
Materials
Vocabulary
•Textbook 4B, Chapter 15, p. 141
organise objects
•Sort numbers or objects using Carroll diagrams
•Interpret data in Carroll diagrams
•Textbook 4B, Chapter 15, pp. 142 – 146
•Workbook 4B, Chapter 15, Worksheet 1, pp. 121 – 124
•Worksheet 15.1: Carroll
•Textbook 4B, Chapter 15, pp. 147 – 153
•Workbook 4B, Chapter 15, Worksheet 2, pp. 125 – 128
•BM 15.2: Venn diagram
Carroll diagram
diagrams (Appendix)
Carroll diagrams
Thinking Skills — Comparing and Reasoning
Lesson 15.2 pp. 147 – 153
8.5 periods
(4.25 hours)
•Sort numbers or objects using Venn diagrams
•Interpret data in Venn diagrams
Venn diagrams
Thinking Skills — Classifying and Analysing
I Know That p. 154
•Reinforce and consolidate skills and concepts taught in
Chapter 15
Venn diagram
(Appendix)
•Worksheet 15.3: Venn
diagrams (Appendix)
•Textbook 4B, Chapter 15, p. 154
•Workbook 4B, Chapter 15, Putting It Together 1,
pp. 129 – 134
Apply What You Know
pp. 155 – 156
21st Century Skills —
• ICT Literacy
• Communication
• Creativity
•Textbook 4B, Chapter 15, pp. 155 – 156
•Workbook 4B, Chapter 15, Putting It Together 2,
pp. 135 – 136
Internet Links:
•
•
•
•
•
•
http://www.wmnet.org.uk/wmnet/custom/files_uploaded/uploaded_resources/850/carrollv4.swf
http://www.shodor.org/interactivate/activities/ShapeSorter/
http://www.youtube.com/watch?v=YAjxRUGS0Gc
http://www.youtube.com/watch?v=MassxXy8iko
http://pbskids.org/cyberchase/math-games/logic-zoo/
http://www.bostonstmarys.co.uk/page/?pid=125
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
Problem-Solving
pp. 157 – 168
Teaching Time
6 periods
(3 hours)
Specific Learning Outcomes/Skills
•Use bar models to solve more advanced word problems
Resources
•Textbook 4B, Problem-Solving, pp. 157 – 168
Materials
Vocabulary
bar models, partwhole concept,
method of 'cutting
the units', method
of 'shifting the
units', proportions
concept
Internet Links:
•
http://www.thinkingblocks.com/tb_modeling_tool/modeling_tool.html
Problem-Solving Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 4