Chapter 1: Whole Numbers 1 Scheme-of-Work Total Teaching Time: 25 periods (12.5 hours) Lesson Chapter Opener p. 1 Lesson 1.1 pp. 2 – 5 Teaching Time 0.5 periods (15 minutes) 4 periods (2 hours) Resources •Introduce six-digit numbers by using the context of 4 periods (2 hours) Vocabulary •Textbook 5A, Chapter 1, p. 1 •Read and write numbers up to 1 million •Textbook 5A, Chapter 1, pp. 2 – 5 •Workbook 5A, Chapter 1, Worksheet 1, pp. 1 – 2 •Know the value of each digit in whole numbers up to •Textbook 5A, Chapter 1, pp. 6 – 8 •Workbook 5A, Chapter 1, Worksheet 2, pp. 3 – 4 1 million Place value of numbers up to 1 million Lesson 1.3 pp. 9 – 12 Materials distances in outer space Thinking Skills — Analysing and Reasoning Numbers to 1 million Lesson 1.2 pp. 6 – 10 Specific Learning Outcomes/Skills •Counters labelled 1, 10, one hundred 100 and 10 000 thousand •BM 1.1: Adding 10 000 to 90 000 (Appendix) •BM 1.2: Adding 100 000 to 900 000 (Appendix) •Counters •Magnets •BM 1.3: Place value table one million (Appendix) 3 periods (1.5 hours) •Compare and order numbers up to 1 million •Textbook 5A, Chapter 1, pp. 9 – 12 •Workbook 5A, Chapter 1, Worksheet 3, pp. 5 – 6 •BM 1.4: Number cards (Appendix) decreasing order, increasing order Comparing and ordering numbers Lesson 1.4 pp. 13 15 3 periods (1.5 hours) •Textbook 5A, Chapter 1, pp. 13 – 15 •Workbook 5A, Chapter 1, Worksheet 4, pp. 7 – 8 Thinking Skills — Comparing and Reasoning Number patterns Lesson 1.5 pp. 16 – 17 •Complete number patterns 2 periods (1 hour) •Round whole numbers to the nearest ten, hundred or •Textbook 5A, Chapter 1, pp. 16 – 17 •Workbook 5A, Chapter 1, Worksheet 5, pp. 9 – 10 thousand Rounding numbers Thinking Skills — Analysing and Reasoning Lesson 1.6 pp. 18 25 Negative numbers 8.5 periods (4.25 hours) •Use negative numbers •Compare and order positive and negative numbers •Describe and continue number patterns involving •Textbook 5A, Chapter 1, pp. 18 – 25 •Workbook 5A, Chapter 1, Worksheet 6, pp. 11 – 14 •BM 1.5: Thermometer (Appendix) negative number, positive number positive and negative numbers Thinking Skills — Analysing, Reasoning and Comparing I Know That pp. 26 27 Chapter 1 Scheme-of-Work •Reinforce and consolidate skills and concepts taught in Chapter 1 •Textbook 5A, Chapter 1, pp. 26 – 27 •Workbook 5A, Chapter 1, Putting It Together 1, pp. 15 – 18 © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5 Lesson Apply What You Know p. 28 Teaching Time Specific Learning Outcomes/Skills 21st Century Skills — •Critical Thinking & Problem-Solving •Communication Resources Materials Vocabulary •Textbook 5A, Chapter 1, p. 28 •Workbook 5A, Chapter 1, Putting It Together 2, pp. 19 – 20 Internet Links: • • • • • • • • • http://www.amblesideprimary.com/ambleweb/mentalmaths/supersequencer.html http://www.calculateme.com/Time/ http://en.wikipedia.org/wiki/Marathon http://www.aaamath.com/plc31-placevalue.html http://www.321know.com/plc31ax2.htm#section2 http://mrnussbaum.com/placevaluepirates2/ http://www.sheppardsoftware.com/mathgames/placevalue/FSCompareNumbers.htm http://www.ezschool.com/Math/NumberSense/CompareOrder/ws40.html http://www.novelgames.com/flashgames/game.php?id=141 Chapter 1 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5 Chapter 2: Whole numbers 2 Scheme-of-Work Total Teaching Time: 36 periods (18 hours) Lesson Chapter Opener p. 29 Lesson 2.1 pp. 30 – 41 Teaching Time 0.5 periods (15 minutes) 12 periods (6 hours) Multiplication Specific Learning Outcomes/Skills •Understand multiplication and division of numbers which Resources •Textbook 5A, Chapter 2, p. 29 have more than two or three digits •Multiply whole numbers by tens, hundreds or thousands •Multiply four-digit numbers by one-digit numbers •Multiply one-digit, two-digit or three-digit numbers by Division Chapter 2 Scheme-of-Work •Divide whole numbers by tens, hundreds or thousands •Divide four-digit numbers by one-digit numbers •Worksheet 2.1: Simple •Textbook 5A, Chapter 2, pp. 30 – 41 •Worksheet 2.2: •Workbook 5A, Chapter 2, Worksheets 1 - 3, pp. 21 – 28 Multiplication by 10, product, estimate 100 and their multiples (Appendix) •Worksheet 2.3: Multiplication by powers of 10 and their multiples (Appendix) •Worksheet 2.4: Multiplication by one-digit numbers (Appendix) •Worksheet 2.5: Multiplication word problems (Appendix) •Worksheet 2.6: Multiplication by two-digit numbers (Appendix) •Worksheet 2.7: Multiplication by numbers with more than two digits (Appendix) Thinking Skills — Comparing and Reasoning 10 periods (5 hours) Vocabulary multiplication and division of whole numbers (Appendix) two-digit numbers Lesson 2.2 pp. 42 – 51 Materials •Textbook 5A, Chapter 2, pp. 42 – 51 •Workbook 5A, Chapter 2, Worksheets 4 & 5, pp. 29 – 34 © 2012 Alston Publishing House Pte Ltd •Worksheet 2.8: Division of whole numbers by 10 and its multiples (Appendix) •Worksheet 2.9: Division of whole numbers by powers of 10 and their multiples (Appendix) •Worksheet 2.10: Division by one-digit numbers (Appendix) •Worksheet 2.11: Estimation of whole numbers (Appendix) quotient, remainder Maths SMART Teacher's Guide Grade 5 Lesson Lesson 2.3 pp. 52 – 54 Teaching Time 3 periods (1.5 hours) Specific Learning Outcomes/Skills Resources •Use a calculator to do addition, subtraction, multiplication •Textbook 5A, Chapter 2, pp. 52 – 54 •Workbook 5A, Chapter 2, Worksheet 6, pp. 35 – 36 and division operations Using a calculator Lesson 2.4 pp. 55 – 60 •Calculators •Worksheet 2.12: Addition Vocabulary calculator, operations and subtraction using a calculator (Appendix) •Worksheet 2.13: Multiplication and division using a calculator (Appendix) 6.5 periods (3.25 hours) •Apply the mathematical rules using order of operations •Textbook 5A, Chapter 2, pp. 55 – 60 •Workbook 5A, Chapter 2, Worksheet 7, pp. 37 – 40 •Worksheet 2.14: Order of •Textbook 5A, Chapter 2, pp. 61 – 64 •Workbook 5A, Chapter 2, Worksheet 8, pp. 41 – 44 •BM 2.19: TINS strategy Order of operations Lesson 2.5 pp. 61 – 64 Materials 4 periods (2 hours) •Solve word problems involving all four operations Solving word problems number sentence operations — Addition and subtraction (Appendix) •Worksheet 2.15: Order of operations — Four operations (Appendix) •Worksheet 2.16: Order of operations — Four operations and brackets (Appendix) •BM 2.17: Number cards (Appendix) •BM 2.18: Operations and brackets cards (Appendix) (Appendix) •Worksheet 2.20: Solving word problems (Appendix) I Know That pp. 65 – 66 •Reinforce and consolidate skills and concepts taught in •Textbook 5A, Chapter 2, pp. 65 – 66 •Workbook 5A, Chapter 2, Putting It Together 1, Chapter 2 pp. 45 – 50 Apply What You Know p. 66 •Textbook 5A, Chapter 2, p. 66 •Workbook 5A, Chapter 2, Putting It Together 2, 21st Century Skills — •Critical Thinking & Problem-Solving pp. 51 – 52 Internet Links: • • • • • • • • http://www.youtube.com/watch?v=9mBj0FH6N6M http://www.mangahigh.com/en/games/iceicemaybe http://www.mathplayground.com/multiplication05.html http://www.youtube.com/watch?v=eA2uhrp2gd0 http://kids.britannica.com/lm/games/GM_5_5/GM_5_5.htm http://www.khanacademy.org/math/arithmetic/multiplication-division/v/division-3--more-long-division-andremainder-examples http://www.onlinemathlearning.com/cgi-bin/counter.pl?url=http%3A%2F%2Farcademicskillbuilders%2E com%2Fgames%2Fdrag_race%2Fdrag_race%2Ehtml&referrer=http%3A%2F%2Fwww%2Eonlinemathlearning% 2Ecom%2Fdivision-games%2Ehtml http://www.youtube.com/watch?v=ClYdw4d4OmA Chapter 2 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5 Chapter 3: Shapes and Lines Scheme-of-Work Total Teaching Time: 21 periods (10 hours 30 minutes) Lesson Teaching Time Chapter Opener p. 67 0.5 periods (15 minutes) Lesson 3.1 pp. 68 – 73 7 periods (3.5 hours) Specific Learning Outcomes/Skills Resources •Recognise that there are different types of triangles •Textbook 5A, Chapter 3, p. 67 •Identify and classify triangles, and describe their properties •Textbook 5A, Chapter 3, pp. 68 – 73 •Workbook 5A, Chapter 3, Worksheet 1, pp. 53 – 56 Triangles Lesson 3.2 pp. 74 – 80 Materials •2 tangram sets •BM 3.1: Types of triangles (Appendix) 7 periods (3.5 hours) •Recognise different types of symmetry in regular polygons •Create patterns with two lines of symmetry pp. 57 – 60 Thinking Skills — Visualising and Spatial Visualisation Symmetry •Textbook 5A, Chapter 3, pp. 74 – 80 •Workbook 5A, Chapter 3, Worksheets 2 & 3, •Pinwheel •Star sticker •BM 3.1: Types of triangles (Appendix) •BM 3.2: Reflective Vocabulary equilateral triangle, isosceles triangle, scalene triangle, right-angled triangle reflective symmetry, rotate, rotational symmetry, centre of rotation symmetry in the alphabet (Appendix) •BM 3.3: Dot grid (Appendix) •Worksheet 3.4: Symmetric figures (Appendix) •BM 3.5: Square grid (Appendix) Lesson 3.3 pp. 81 – 86 Perpendicular and parallel lines I Know That p. 87 6.5 periods (3.25 hours) •Recognise and identify perpendicular and parallel lines Thinking Skills — Analysing, Induction and Comparing •Reinforce and consolidate skills and concepts taught in Chapter 3 •Textbook 5A, Chapter 3, pp. 81 – 86 •Workbook 5A, Chapter 3, Worksheets 4 & 5, pp. 61 – 64 •BM 3.5: Square grid (Appendix) •BM 3.6: Objects with parallel lines (Appendix) perpendicular lines, parallel lines •Textbook 5A, Chapter 3, p. 87 •Workbook 5A, Chapter 3, Putting It Together 1, pp. 65 – 68 Apply What You Know p. 88 21st Century Skills — •Creativity •Textbook 5A, Chapter 3, p. 88 •Workbook 5A, Chapter 3, Putting It Together 2, pp. 69 – 70 Internet Links: • • • • • • • • • • • • http://en.wikipedia.org/wiki/Scalene_muscles http://www.mathsisfun.com/geometry/triangles-interactive.html http://www.youtube.com/watch?v=sWZGgDcIBkg http://www.bbc.co.uk/schools/ks3bitesize/maths/shape_space/symmetry/revise4.shtml http://en.wikipedia.org/wiki/File:MacShogi.jpg www.primaryresources.co.uk/maths/docs/Reflective_Symmetry.doc http://www.crickweb.co.uk/ks2numeracy-shape-and-weight.html#Symm http://www.primaryresources.co.uk/online/reflection.swf http://www.mathsisfun.com/perpendicular-parallel.html http://www.edhelper.com/math/math_fifth_grade_FIVE87.htm http://www.ixl.com/math/grade-7/parallel-perpendicular-intersecting http://www.mangahigh.com/en/maths_games/shape/understanding_properties_of_shape/ recognise_perpendicular_and_parallel_lines Chapter 3 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5 Chapter 4: Decimals Scheme-of-Work Total Teaching Time: 31 periods (15 hours 30 minutes) Lesson Chapter Opener p. 89 Lesson 4.1 pp. 90 – 96 Teaching Time 1 period (30 minutes) 6.5 periods (3.25 hours) Resources •Understand that operations can be performed on decimal 6.5 periods (3.25 hours) •Textbook 5A, Chapter 4, p. 89 numbers Materials Vocabulary •Worksheet 4.1: Tenths and hundredths (Appendix) •Add decimals with up to 2 decimal places •Textbook 5A, Chapter 4, pp. 90 – 96 •Workbook 5A, Chapter 4, Worksheets 1 & 2, •Worksheet 4.2: Adding •Textbook 5A, Chapter 4, pp. 97 – 101 •Workbook 5A, Chapter 4, Worksheets 3 & 4, •Height measurement pp. 71 – 76 Thinking Skills — Comparing and Reasoning Addition Lesson 4.2 pp. 97 – 101 Specific Learning Outcomes/Skills •Subtract decimals with up to 2 decimal places pp. 77 – 80 Subtraction decimals with 1 decimal place (Appendix) •Worksheet 4.3: Adding decimals with up to 2 decimal places (Appendix) •BM 4.4: Decimal cards (Appendix) decimal point, tenths, hundredths, round to the nearest whole number, round to 1 decimal place scale •Worksheet 4.5: Subtracting decimals with 1 decimal place (Appendix) •Worksheet 4.6: Subtracting decimals with up to 2 decimal places (Appendix) Lesson 4.3 pp. 102 – 107 6.5 periods (3.25 hours) •Multiply decimals by one-digit numbers and powers of 10 up to 1000 •Worksheet 4.7: Multiplying •Textbook 5A, Chapter 4, pp. 108 – 115 •Workbook 5A, Chapter 4, Worksheets 7 & 8, •Measurement glasses •Worksheet 4.9: Dividing pp. 81 – 84 Multiplication Lesson 4.4 pp. 108 – 115 •Textbook 5A, Chapter 4, pp. 102 – 107 •Workbook 5A, Chapter 4, Worksheets 5 & 6, 6.5 periods (3.25 hours) •Divide decimals by one-digit numbers and powers of 10 up to 1000 pp. 85 – 90 Division Thinking Skills — Comparing and Reasoning Lesson 4.5 pp. 116 – 118 4 periods (2 hours) •Solve word problems involving decimals •Textbook 5A, Chapter 4, pp. 116 – 118 •Workbook 5A, Chapter 4, Worksheet 9, pp. 91 – 92 Solving word problems decimals by one-digit numbers (Appendix) •Worksheet 4.8: Estimation activities (Appendix) decimals by one-digit numbers (Appendix) •Worksheet 4.10: Shopping receipts 1 (Appendix) •Worksheet 4.11: Shopping receipts 2 (Appendix) Chapter 4 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5 Lesson I Know That p. 119 Teaching Time 1 period (30 minutes) Specific Learning Outcomes/Skills •Reinforce and consolidate skills and concepts taught in Chapter 4 Resources Materials Vocabulary •Textbook 5A, Chapter 4, p. 119 •Workbook 5A, Chapter 4, Putting It Together 1, pp. 93 – 96 Apply What You Know p. 120 6.5 periods (3.25 hours) 21st Century Skills — •Critical Thinking & Problem-Solving •Textbook 5A, Chapter 4, p. 120 •Workbook 5A, Chapter 4, Putting It Together 2, pp. 97 – 98 Internet Links: • • • • • • http://www.math-play.com/soccer-math-adding-decimals-game/adding-decimals-game.html http://www.sheppardsoftware.com/mathgames/decimals/matchingDecimalsAdd.htm http://www.math-play.com/baseball-math-subtracting-decimals/subtracting-decimals.html http://www.mangahigh.com/en/maths_games/number/understanding_the_number_system_/ multiply_and_divide_decimals_by_10_100_1000 http://www.davincithevilla.com/vitruvproportions.htm http://www.mathplayground.com/ThinkingBlocks/thinking_blocks_modeling%20_tool.html Chapter 4 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5 Chapter 5: Fractions Scheme-of-Work Total Teaching Time: 18 periods (9 hours) Lesson Teaching Time Chapter Opener p. 121 1 period (30 minutes) Lesson 5.1 pp. 122 – 126 5.5 periods (2.75 hours) Specific Learning Outcomes/Skills •Recall the concept of fractions using a familiar context •Textbook 5A, Chapter 5, p. 121 •Find fraction of a quantity •Textbook 5A, Chapter 5, pp. 122 – 126 •Workbook 5A, Chapter 5, Worksheet 1, pp. 99 – 102 Thinking Skills — Analysing and Reasoning Fraction of a quantity Resources Materials •Green and yellow counters •BM 5.1: Equivalent fractions Vocabulary equivalent fraction (Appendix) •BM 5.2: Colouring squares to show fraction of a set (Appendix) •Worksheet 5.3: Fraction of a quantity (Appendix) Lesson 5.2 pp. 127 – 129 4.5 periods (2.25 hours) •Relate fractions to division •Textbook 5A, Chapter 5, pp. 127 – 129 •Workbook 5A, Chapter 5, Worksheet 2, pp. 103 – 104 •Worksheet 5.4: Fractions •Textbook 5A, Chapter 5, pp. 130 – 136 •Workbook 5A, Chapter 5, Worksheet 3, pp. 105 – 108 •Worksheet 5.5: Converting and division (Appendix) Fractions and division Lesson 5.3 pp. 130 – 136 7 periods (3.5 hours) •Convert fractions into decimals, and vice versa Fractions and decimals Thinking Skills — Analysing and Comparing I Know That p. 137 •Reinforce and consolidate skills and concepts taught in Chapter 5 numerator, fractions into decimals denominator (Appendix) •BM 5.6: Decimal tic-tac-toe boards (Appendix) •BM 5.7: Fraction cards (Appendix) •Textbook 5A, Chapter 5, p. 137 •Workbook 5A, Chapter 5, Putting It Together 1, pp. 109 – 112 Apply What You Know p. 138 21st Century Skills — •Creativity •ICT Literacy •Textbook 5A, Chapter 5, p. 138 •Workbook 5A, Chapter 5, Putting It Together 2, pp. 113 – 114 Internet Links: • http://www.math-drills.com/fractions/fractions_modeling_2345_001.html • http://www.aaastudy.com/fra42bx2.htm • http://www.webmath.com/dec2fract.html Chapter 5 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5 Chapter 6: Ratio Scheme-of-Work Total Teaching Time: 16 periods (8 hours) Lesson Teaching Time Chapter Opener p. 139 1 period (30 minutes) Lesson 6.1 pp. 140 – 144 5.5 periods (2.75 hours) Specific Learning Outcomes/Skills •Use ratio in real world situations •Textbook 5A, Chapter 6, p. 139 •Find the ratio of two quantities •Textbook 5A, Chapter 6, pp. 140 – 144 •Workbook 5A, Chapter 6, Worksheet 1, pp. 115 – 116 Thinking Skills — Analysing and Deducing Understanding ratio Resources Materials • 15 yellow counters •15 blue counters •15 red counters •15 green counters •30 paper plates •Worksheet 6.1: Writing Vocabulary ratio, terms ratio statements for groups of objects (Appendix) •BM 6.2: Ratio cards (Appendix) Lesson 6.2 pp. 145 – 149 5.5 periods (2.75 hours) •Find equivalent ratios •Express a ratio in its simplest form •Textbook 5A, Chapter 6, pp. 145 –149 •Workbook 5A, Chapter 6, Worksheet 2, pp. 117 – 120 Equivalent ratios Thinking Skills — Analysing and Deducing Lesson 6.3 pp. 150 – 153 4 periods (2 hours) •Solve simple and multi-step word problems involving ratio •Textbook 5A, Chapter 6, pp. 150 – 153 •Workbook 5A, Chapter 6, Worksheet 3, pp. 121 – 122 Solving word problems I Know That p. 153 •Reinforce and consolidate skills and concepts taught in Chapter 6 •BM 6.3: Paper trees and squirrels (Appendix) •BM 6.4: Paper trees and squirrels in groups of two (Appendix) •BM 6.5: Paper trees and squirrels in groups of four (Appendix) equivalent ratio, simplest form •BM 6.6: Bar model for Rope A and Rope B (Appendix) •Textbook 5A, Chapter 6, p. 153 •Workbook 5A, Chapter 6, Putting It Together 1, pp. 123 – 126 Apply What You Know p. 154 •Textbook 5A, Chapter 6, p. 154 •Workbook 5A, Chapter 6, Putting It Together 2, 21st Century Skills — •Critical Thinking & Problem-Solving • Creativity pp. 127 – 128 Internet Links: • • • • • http://www.messenger-education.org/Interactives/ANIMATIONS/Planet_Size_Comparison/planet_size_comparison_full.htm http://www.softschools.com/math/ratios/ratio_coloring_game/ http://nrich.maths.org/4824 http://www.what2learn.com/home/examgames/maths/simplifying4/ http://www.aaamath.com/B/g62b_fx1.htm#section2 Chapter 6 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5 Chapter 7: Mental Skills Scheme-of-Work Total Teaching Time: 14 periods (7 hours) Lesson Chapter Opener p. 155 Lesson 7.1 pp. 156 – 164 Teaching Time 0.5 periods (15 minutes) 9.5 periods (4.75 hours) Mental multiplication Specific Learning Outcomes/Skills Resources •Recognise the usefulness of using strategies in mental •Textbook 5A, Chapter 7, p. 155 multiplication to solve real-world problems Materials Vocabulary •BM 7.1: Mental skills (Appendix) •Mentally multiply numbers that are near multiples of 10 •Mentally multiply numbers by 25 •Mentally multiply two numbers by halving one number and •Textbook 5A, Chapter 7, pp. 156 – 164 •Workbook 5A, Chapter 7, Worksheet 1, pp. 129 – 132 •Counters •BM 7.2: Number line (Appendix) •BM 7.3: Number bonds doubling the other (Appendix) •BM 7.4: Number cards Thinking Skills — Analysing, Reasoning and Identifying Patterns (Appendix) Lesson 7.2 pp. 165 – 168 4 periods (2 hours) •Use divisibility rules to test if a number is divisible by 2, 4, 5, 10, 25 or 100 •Textbook 5A, Chapter 7, pp. 165 – 168 •Workbook 5A, Chapter 7, Worksheet 2, pp. 133 – 134 •BM 7.5: Divisible even numbers (Appendix) divisible, divisibility rule Mental division Thinking Skills — Comparing I Know That p. 169 •Reinforce and consolidate skills and concepts taught in Chapter 7 •Textbook 5A, Chapter 7, p. 169 •Workbook 5A, Chapter 7, Putting It Together 1, pp. 135 – 136 Apply What You Know p. 170 21st Century Skills — •Critical Thinking & Problem-Solving •Communication •Textbook 5A, Chapter 7, p. 170 •Workbook 5A, Chapter 7, Putting It Together 2, pp. 137 – 138 Internet Links: • • • • http://www.woodlands-junior.kent.sch.uk/maths/timestable/tricks.html#11 http://www.youtube.com/watch?v=aaZVSQ01TxU http://www.mathsisfun.com/divisibility-rules.html http://math.about.com/library/bldivide.htm Chapter 7 Scheme-of-Work © 2012 Alston Publishing House Pte Ltd Maths SMART Teacher's Guide Grade 5