Chapter 6: Measurement
Scheme-of-Work
Total Teaching Time: 24 periods (12 hours)
Lesson
Chapter Opener p. 1
Lesson 6.1 pp. 2 – 8
Teaching Time
0.5 periods
(15 minutes)
6 periods
(3 hours)
Converting larger units into
smaller units
Lesson 6.2 pp. 8 – 14
Specific Learning Outcomes/Skills
•Understand that there are other units of measurement
Resources
Converting smaller units into
larger units
Vocabulary
•Textbook 6B, Chapter 6, p. 1
(i.e. imperial units) besides metric units
•Convert larger units of measurement into smaller units of
•Textbook 6B, Chapter 6, pp. 2 – 8
•Workbook 6B, Chapter 6, Worksheet 1, pp. 1 – 4
measurement
Thinking Skills — Analysing
6 periods
(3 hours)
Materials
•BM 6.1: Converting
masses (Appendix)
•Worksheet 6.2: Converting
capacities (Appendix)
•Convert smaller units of measurement into larger units of
•Textbook 6B, Chapter 6, pp. 8 – 14
•Workbook 6B, Chapter 6, Worksheet 2, pp. 5 – 8
measurement
Thinking Skills — Analysing and Comparing
•Weighing machines
•Measuring tape
•Calculator
•Worksheet 6.3: Converting
lengths (Appendix)
Lesson 6.3 pp. 15 – 25
11.5 periods
(5.75 hours)
•Recognise imperial units of measurement still in
•Textbook 6B, Chapter 6, pp. 15 – 25
•Workbook 6B, Chapter 6, Worksheet 3, pp. 9 – 12
common use
Imperial units of
measurement
Thinking Skills — Analysing and Comparing
I Know That p. 26
•Reinforce and consolidate skills and concepts taught in
• Inch rulers
• Paper clip
• B5 notebook
• Baseball bat
• Measuring tapes
• Small milk carton
• Large milk carton
metric units,
imperial units,
inch (in.), foot (ft),
yard (yd), mile
(mi), ounce (oz),
pound (lb), pint
(pt), quart (q),
gallon (gal)
•Textbook 6B, Chapter 6, p. 26
•Workbook 6B, Chapter 6, Putting It Together 1,
Chapter 6
pp. 13 – 16
Apply What You Know
pp. 27 – 28
•Textbook 6B, Chapter 6, pp. 27 – 28
•Workbook 6B, Chapter 6, Putting It Together 2,
21st Century Skills —
• Critical Thinking & Problem-Solving
• Communication
pp. 17 – 18
Internet Links:
•
•
•
•
•
•
•
•
•
http://www.timeanddate.com/worldclock/distanceresult.html?p1=136&p2=90
http://www.ixl.com/math/grade-6/convert-and-compare-metric-units
http://animals.nationalgeographic.com/animals/reptiles/burmese-python/
http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i1/bk8_1i1.htm
http://www.convertunits.com/from/lbs/to/kg
http://www.dadsworksheets.com/v1/Worksheets/Conversions%20Between%20Customary%20and%20Metric.html
http://www.ixl.com/math/grade-7/convert-between-customary-and-metric-systems
http://www.homeschoolmath.net/worksheets/measuring.php
http://distancecalculator.globefeed.com/New_Zealand_Distance_Calculator.asp
Chapter 6 Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 6
Chapter 7: Time
Scheme-of-Work
Total Teaching Time: 13 periods (6.5 hours)
Lesson
Chapter Opener p. 29
Lesson 7.1 pp. 30 – 36
Teaching Time
0.5 periods
(15 minutes)
6.5 periods
(3.25 hours)
Time difference
Specific Learning Outcomes/Skills
•Understand that different cities have different local times
Resources
•Textbook 6B, Chapter 7, p. 29
Materials
Vocabulary
•BM 7.1: Travel itinerary
(Appendix)
•Calculate the time difference between two cities given the
local time in each city
•Calculate the local time in one city given the local time in
another city and their time difference
•Textbook 6B, Chapter 7, pp. 30 – 36
•Workbook 6B, Chapter 7, Worksheet 1, pp. 19 – 22
•BM 7.2: Times in cities
•Textbook 6B, Chapter 7, pp. 37 – 40
•Workbook 6B, Chapter 7, Worksheet 2, pp. 23 – 24
•BM 7.3: Time zone map
(Appendix)
local time,
time difference
Thinking Skills — Analysing
Lesson 7.2 pp. 37 – 40
6 periods
(3 hours)
•Calculate and describe the time difference between two
cities using a time zone map
(Appendix)
Time zones
Thinking Skills — Analysing
I Know That p. 41
•Reinforce and consolidate skills and concepts taught in
•Textbook 6B, Chapter 7, p. 41
•Workbook 6B, Chapter 7, Putting It Together 1, pp. 25 - 28
Chapter 7
Apply What You Know
p. 42
time zone,
Coordinated
Universal Time
(UTC)
•Textbook 6B, Chapter 7, p. 42
•Workbook 6B, Chapter 7, Putting It Together 2,
21st Century Skills —
• Creativity
• Critical Thinking & Problem-Solving
•Worksheet 7.4: Flight
itinerary (Appendix)
pp. 29 – 30
Internet Links:
• http://www.timeanddate.com/time/map/
• http://www.timeanddate.com/time/dst/
Chapter 7 Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 6
Chapter 8: Area and Perimeter
Scheme-of-Work
Total Teaching Time: 19 periods (9 hours 30 minutes)
Lesson
Chapter Opener p. 43
Lesson 8.1 pp. 44 – 50
Teaching Time
0.5 periods
(15 minutes)
9.5 periods
(4.75 hours)
Specific Learning Outcomes/Skills
•Understand that composite figures can be made up of
Resources
•Textbook 6B, Chapter 8, p. 43
Materials
Vocabulary
•Authentic floor plans
more than one shape
•Recap the concept of area as the amount of surface
covered by a figure
•Find the perimeters of composite figures
•Find the areas of composite figures
•Textbook 6B, Chapter 8, pp. 44 – 50
•Scissors
•Workbook 6B, Chapter 8, Worksheet 1 & 2, pp. 31 – 34 •Matchsticks
•BM 8.1: Composite figure I
Composite figures
Thinking Skills — Analysing
composite figure,
perimeter, area
(Appendix)
•Worksheet 8.2: Composite
figures II (Appendix)
Lesson 8.2 pp. 51 – 55
5 periods
(2.5 hours)
•Solve word problems involving areas and perimeters of
composite figures
•Textbook 6B, Chapter 8, pp. 51 – 55
•Workbook 6B, Chapter 8, Worksheet 3, pp. 35 – 38
•BM 8.3: Composite figures
•Textbook 6B, Chapter 8, pp. 56 – 60
•Workbook 6B, Chapter 8, Worksheet 4, pp. 39 – 40
•1 sheet of square grid
III (Appendix)
Solving word problems
Lesson 8.3 pp. 56 – 60
4 periods
(2 hours)
•Estimate the areas of irregular shapes by counting squares
Estimating areas of irregular
shapes
paper
•Coloured pencils
•BM 8.4: Estimating areas
of irregular shapes
(Appendix)
I Know That pp. 60 – 61
•Reinforce and consolidate skills and concepts taught in
•Textbook 6B, Chapter 8, pp. 60 – 61
•Workbook 6B, Chapter 8, Putting It Together 1,
Chapter 8
pp. 41 – 44
Apply What You Know
p. 62
•Textbook 6B, Chapter 8, p. 62
•Workbook 6B, Chapter 8, Putting It Together 2,
21st Century Skills —
• Critical Thinking & Problem-Solving
• ICT Literacy
pp. 45 – 46
•Tape
•BM 8.5: Area of the path
(Appendix)
Internet Links:
• http://www.mathscore.com/math/free/lessons/Texas/8th_grade/Perimeter_and_Area_of_Composite_Figures_sample_problems.html
• http://www.qxmd.com/calculate-online/hematology/bsa-body-surface-area-mosteller
Chapter 8 Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 6
Revision C — Measurement
Scheme-of-Work
Total Teaching Time: 6 periods (3 hours)
Lesson
pp. 63 – 66
Teaching Time
2.5 periods
(1.25 hours)
Length, Mass and Capacity
pp. 67 – 69
Specific Learning Outcomes/Skills
•Read a ruler in centimetres and millimetres
•Convert larger units of measurement into smaller units of
Resources
•Textbook 6B, Revision C, pp. 63 – 66
Time
Vocabulary
•Worksheet C.1: Converting
measurements (Appendix)
•BM C.2: Place value tables
measurement, and vice versa
•Read a weighing scale
•Compare and order measurements expressed in different units
•Round numbers to the nearest hundredth, tenth and whole
number
•Convert imperial units of measurement into metric units of
measurement
1.5 periods
( 0.75 hours)
Materials
• Know the relationship between seconds and minutes
• Calculate duration in minutes and seconds
• Calculate duration in hours and minutes
• Read a stopwatch
• Express time in 24-hour clock notation and 12-hour clock
(Appendix)
•Textbook 6B, Revision C, pp. 67 – 69
•BM C.3: Times in cities
(Appendix)
notation
•Calculate the time difference between two cities given the time
in each city
•Calculate the local time in one city given the local time in
another city and their time difference
•Calculate and describe the time difference between two cities
using a time zone map
pp. 70 – 72
1 period
(0.5 hours)
Area and Perimeter
•Find the areas of squares and rectangles
•Find the unknown length of one side of a square or rectangle,
•Textbook 6B, Revision C, pp. 70 – 72
given its area
•Find the perimeters of composite figures
•Find an unknown length of a composite figure, given its
perimeter
•Find the areas of composite figures
•Estimate the areas of irregular shapes by counting squares
pp. 72 – 74
1 period
(0.5 hours)
•Solve word problems involving measurement, time, and area
•Textbook 6B, Revision C, pp. 72 – 74
and perimeter
Word Problems
Internet Links:
• http://lbstatic-001.tenmarks.com/static/albums/Units-and-Measurement/Metric-Units-of-Length-Capacity-and-Mass.html
• http://www.softschools.com/measurement/games/ruler/measuring_length_in_cm/decimals/
• http://www.sheppardsoftware.com/mathgames/decimals/scooterQuestDecRound.htm
Revision C Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 6
Chapter 9: Handling Data
Scheme-of-Work
Total Teaching Time: 25 periods (12 hours 30 minutes)
Lesson
Chapter Opener p. 75
Lesson 9.1 pp. 76 – 80
Teaching Time
0.5 periods
(15 minutes)
5 periods
(2.2 hours)
•Recognise that there are other ways to present data besides
7 periods
(3.5 hours)
Resources
•Textbook 6B, Chapter 9, p. 75
using line graphs
•Interpret data in conversion graphs
•Textbook 6B, Chapter 9, pp. 76 – 80
•Workbook 6B, Chapter 9, Worksheet 1, pp. 47 – 50
Vocabulary
•BM 9.1: Line graph
•Sheets of graph paper
•Worksheet 9.2: Conversion
conversion graph
graph (Appendix)
•Interpret data in pie charts
•Textbook 6B, Chapter 9, pp. 81 – 86
•Workbook 6B, Chapter 9, Worksheet 2, pp. 51 – 54
Pie charts
Lesson 9.3 pp. 87 – 98
Materials
and conversion graph
(Appendix)
Thinking Skills — Analysing
Conversion graphs
Lesson 9.2 pp. 81 – 86
Specific Learning Outcomes/Skills
•Jelly beans
•Worksheet 9.3: Jelly beans
pie chart
(Appendix)
12.5 periods
(6.25 hours)
•Find the mean, median, mode and range of a set of data
Average and range
Thinking Skills — Analysing and Comparing
I Know That pp. 99 – 100
•Reinforce and consolidate skills and concepts taught in
•Textbook 6B, Chapter 9, pp. 87 – 98
•Workbook 6B, Chapter 9, Worksheet 3, pp. 55 – 58
•Measuring tapes
•BM 9.4: Number cards
(Appendix)
average, mean,
median, mode,
range
•Textbook 6B, Chapter 9, pp. 99 – 100
•Workbook 6B, Chapter 9, Putting It Together 1,
Chapter 9
pp. 59 – 64
Apply What You Know
pp. 101 – 102
•Textbook 6B, Chapter 9, pp. 101 – 102
•Workbook 6B, Chapter 9, Putting It Together 2,
21st Century Skills —
• Critical Thinking & Problem-Solving
• ICT Literacy
• Communication
pp. 65 – 66
Internet Links:
•
•
•
•
•
•
•
•
•
http://www.superteacherworksheets.com/graphing/pie-graph-simple-2_TWNWR.pdf
http://www.superteacherworksheets.com/graphing/pie-graph-hard-3_TWNZB.pdf
http://www.worksheetlibrary.com/subjects/science/experimentation/graphing/pie/scigr45pieanimal.pdf
http://meanmedianmode.org/find-the-mean-math-worksheet-activities-1-60.html
http://www.dadsworksheets.com/v1/Worksheets/Mean,%20Median,%20Range.html
http://www.kidsmathgamesonline.com/numbers/meanmedianmode.html
http://www.bbc.co.uk/bitesize/ks2/maths/data/mode_median_mean_range/play/
http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=measuresofaverage&templateStyle=maths
http://chartmaker.mathwarehouse.com/create-pie-chart/
Chapter 9 Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 6
Chapter 10: Probability
Scheme-of-Work
Total Teaching Time: 19 periods (9 hours 30 minutes)
Lesson
Chapter Opener p. 103
Lesson 10.1 pp. 104 – 115
Teaching Time
0.5 periods
(15 minutes)
14 periods
(7 hours)
Specific Learning Outcomes/Skills
•Relate the chance or likelihood of an event happening to
Resources
•Textbook 6B, Chapter 10, p. 103
•Box
•BM 10.1: Cards (Appendix)
•Textbook 6B, Chapter 10, pp. 104 – 115
•Workbook 6B, Chapter 10, Worksheets 1 & 2,
•BM 10.2: Probability line
•Textbook 6B, Chapter 10, pp. 116 – 119
•Workbook 6B, Chapter 10, Worksheet 3, pp. 73 – 76
•A bag of red, blue and
the concept of probability
•Find the theoretical probability of an event
•Place the probability of an event on a probability line
Materials
(Appendix)
pp. 67 – 72
Theoretical probability
Thinking Skills — Analysing and Comparing
Lesson 10.2 pp. 116 – 119
Finding experimental
probability
I Know That p. 120
4.5 periods
(2.25 hours)
•Find the experimental probability of an event
Thinking Skills — Analysing and Comparing
•Reinforce and consolidate skills and concepts taught in
•Textbook 6B, Chapter 10, p. 120
•Workbook 6B, Chapter 10, Putting It Together 1,
Chapter 10
pp. 77 – 80
Apply What You Know
pp. 121 – 122
green marbles
•A bag containing 2 blue
chips and 1 white chip
•Worksheet 10.3:
Experimental probability
(Appendix)
Vocabulary
possible outcome,
desired outcome,
theoretical
probability,
random
experimental
probability
•1 sheet of square grid
paper
•Coloured pencils
•Textbook 6B, Chapter 10, pp. 121 – 122
•Workbook 6B, Chapter 10, Putting It Together 2,
21st Century Skills —
• Critical Thinking & Problem-Solving
• Communication
pp. 81 – 82
Internet Links:
•
•
•
•
http://www.mathplayground.com/Triplets/Triplets.html
http://www.mathwire.com/games/skunk.pdf
http://www.mathplayground.com/probability.html
http://www.newbedford.k12.ma.us/elementary/gomes/stjohn/Subjects/Math/Probability/Probability1.html
Chapter 10 Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 6
Revision D — Handling Data
Scheme-of-Work
Total Teaching Time: 7 periods (3 hours 30 minutes)
Lesson
pp. 123 – 132
Teaching Time
4 periods
(2 hours)
Handling Data
pp. 133 – 136
Probability
3 periods
(1.5 hours)
Specific Learning Outcomes/Skills
•Collect, present and interpret data in tally charts,
Resources
Materials
•Textbook 6B, Revision D, pp. 123 – 132
•Chalk
•Textbook 6B, Revision D, pp. 133 – 136
•Boxes of sweets with
Vocabulary
frequency tables, pictograms and bar graphs
•Use Carroll diagrams to sort and categorise data
•Interpret data in Venn diagrams
•Read and interpret data in line graphs
•Draw line graphs
•Interpret data in conversion graphs and pie charts
•Find the mean, median, mode and range of a set of data
• Describe the chance or likelihood of familiar events happening
• Represent chance or likelihood of events on a probability line
• Find the theoretical probability of an event
• Place the probability of an event on a probability line
• Find the experimental probability of an event
16 cherry sweets, 18
strawberry sweets and 8
lemon sweets each
•BM D.1: Probabilities
(Appendix)
Internet Links:
•
•
•
•
•
•
•
•
http://www.bbc.co.uk/learningzone/clips/robinson-crusoe-animation-tallying/3141.html
http://nrich.maths.org/5728
http://nrich.maths.org/6290
http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i20/bk8_20i3.htm
http://www.numberpower.org/BeyondBasics/Data/HTML/Mean.html
http://dictionary.reference.com/browse/polygon?s=t
http://dictionary.reference.com/browse/scalene?s=t
http://dictionary.reference.com/browse/irregular?s=t
Revision D Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 6
Problem-Solving
Scheme-of-Work
Total Teaching Time: 7 periods (3 hours 30 minutes)
Lesson
Teaching Time
Problem-Solving
pp. 137 – 149
7 periods
(3.5 hours)
Specific Learning Outcomes/Skills
•Find patterns and solve puzzles
Resources
•Textbook 6B, pp. 137 – 149
Materials
Vocabulary
•BM 11.1: Identifying the
pattern (Appendix)
•Worksheet 11.2: Number
patterns (Appendix)
•BM 11.3: Nets and solids
(Appendix)
•BM 11.4: Net (Appendix)
Internet Links:
•
•
•
•
•
http://kidzone.ws/preK_wrksht/math-readiness/math-patterns3.htm
http://www.mensaforkids.org/lessons/fibonacci/mfklessons-fibonacci-all.pdf
http://gwydir.demon.co.uk/jo/solid/cube.htm#cubenet
http://www.learner.org/interactives/geometry/testskills.html
http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/sequencesrev2.shtml
Problem-Solving Scheme-of-Work
© 2012 Alston Publishing House Pte Ltd
Maths SMART Teacher's Guide Grade 6