web viewchapter 9: mental skills . scheme-of-work . total teaching time: 27 periods (13 hours 30...

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 mentally and 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 coloured double, 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 Identifying patterns (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 21 st Century Skills — •Textbook 4B, Chapter 9, p. 28 • Communication •Workbook 4B, Chapter 9, Putting It Together 2, • Critical Thinking & Problem-Solving 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)


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 21 st Century Skills — •Textbook 4B, Chapter 10, p. 50 • Communication •Workbook 4B, Chapter 10, Putting It Together 2, pp. 39 – 40

Internet Links: •• •••

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 11: Decimals Scheme-of-Work Total Teaching Time: 29 periods (14 hours 30 minutes)


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 — Reasoning tenth, round to 1 decimal place



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 21 st Century Skills — •Textbook 4B, Chapter 11, p. 82 • Critical Thinking & Problem-Solving •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 12: Measurement Scheme-of-Work Total Teaching Time: 22 periods (11 hours)


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 Reasoning Converting 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 of 10 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 21st Century 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

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 13: Time Scheme-of-Work Total Teaching Time: 16 periods (8 hours)


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 21 st 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

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 14: Area and Perimeter Scheme-of-Work Total Teaching Time: 22 periods (11 hours)


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) units Thinking 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)


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

Internet Links: • http://www.ixl.com/math/grade-3/area • http://www.cut-the-knot.org/Curriculum/Geometry/Geoboard.shtml

Chapter 15: Handling Data Scheme-of-Work Total Teaching Time: 17 periods (8 hours 30 minutes)


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 Analysing diagrams (Appendix)


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,

• Communication pp. 135 – 136 • Creativity

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


Problem-Solving Scheme-of-Work Total Teaching Time: 6 periods (3 hours)


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

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

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