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MATHEMATICS YEAR 5 YEARLY PLAN 2009 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 1 1. Numbers 1. Whole 1. Numbers to 1. Develop number sense i. Name and write numbers KITS Numbers 1 000 000 involving numbers of up up to 1 000 000. Specific courseware, to 1 000 000. powerpoint presentation, ii. Determine the place value place value frame, number of the digits in any whole cards, flash cards, picture number up to 1 000 000. cards. Curriculum Specifications Refer to page 1 Thinking Skills 1. Comparing & Contrasting 2. Sequencing 3. Listing 4. Visualizing 2 1. Numbers 1. Whole 1. Numbers to 1. Develop number sense iii. Compare value of numbers KITS Numbers 1 000 000 involving numbers of up to 1 000 000. Specific courseware, to 1 000 000. powerpoint presentation, iv. Round off numbers to the place value frame, number nearest tens, hundreds, cards, flash cards, picture thousands, ten thousands cards. and hundred thousands. Curriculum Specifications Refer to page 1 Thinking Skills 1. Translating 2. Sequencing 3. Analysing 4. Elaborating 3 1. Numbers 1. Whole 2. Addition with the 2. Add numbers to the total i. Add any two to four KITS Numbers highest total of of 1 000 000. numbers up to 1 000 000 Specific courseware, 1 000 000 powerpoint presentation, ii. Solve addition problems. place value frame, number cards, flash cards, picture cards, word cards. 1 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes Curriculum Specifications Refer to pages 2 & 3 Thinking Skills 1. Comparing & Contrasting 2. Decision Making 3. Problem Solving 4 1. Numbers 1. Whole 3. Subtraction 3. Subtract numbers from a i. Subtract one number from a KITS Numbers within the range number less than bigger number less than Specific courseware, of 1 000 000 1 000 000. 1 000 000. powerpoint presentation, place value frame, number ii. Subract successively from a cards, flash cards, picture bigger number less than cards, word cards. 1 000 000. Curriculum Specifications Refer to page 4 & 5 iii. Solve subtraction problems. Thinking Skills 1. Comparing & Contrasting 2. Decision Making 3. Problem Solving 5 1. Numbers 1. Whole 4. Multiplication 4. Multiply any two i. Multiply up to five digit KITS Numbers with the highest numbers with the numbers with Specific courseware, product of highest product of a) a one digit numbers, powerpoint presentation, 1 000 000 1 000 000. b) a two-digit numbers, place value frame, number c) 10, 100 and 1 000 cards, flash cards. ii. Solve problem involving Curriculum Specifications multiplication. Refer to page 6 & 7 Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 2 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 6 1. Numbers 1. Whole 5. Division with the 5. Divide a number less i. Divide numbers up to six KITS Numbers highest dividend than 1 000 000 by a two- digit by Specific courseware, of 1 000 000 digit numbers. powerpoint presentation, a) one-digit numbers, place value frame, number b) 10, 100 and 1 000, cards, word cards. c) two-digit numbers. Curriculum Specifications ii. Solve problem involving Refer to page 8 & 9 division. Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 7 1. Numbers 1. Whole 6. Mixed Operations 6. Perform mixed i. Calculate mixed operation KITS Numbers operation involving on whole numbers involving Specific courseware, multiplication and multiplication and division. powerpoint presentation, division. place value frame, number ii. Solve problem involving cards, word cards. mixed operations of division and multiplication. Curriculum Specifications Refer to page 10 Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 8 1. Numbers 2. Fractions 1. Improper 1. Understand improper i. Name and write improper KITS Fractions fractions. fractions with Specific courseware, denominators up to 10. powerpoint presentation, place value frame, number ii. Compare the value of two cards, word cards, improper fractions. Cuisenaire rods Curriculum Specifications Refer to page 11 Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 3 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 9 1. Numbers 2. Fractions 2. Mixed Numbers 2. Understand mixed i. Name and write mixed Curriculum Specifications numbers. numbers with denominators Refer to page 12 up to 10. Thinking Skills ii. Convert improper fractions 1. Elaborating to mixed numbers and vice- 2. Drawing Conclusion versa. 3. Problem Solving 10 1. Numbers 2. Fractions 3. Addition of 3. Add two mixed numbers. i. Add two mixed numbers KITS Fractions with same denominators up Specific courseware, to ten. powerpoint presentation, place value frame, number ii. Add two mixed numbers cards, word cards, with different denominators Cuisenaire rods up to 10. Curriculum Specifications iii. Solve problems involving Refer to page 13 addition of mixed numbers. Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 11 1. Numbers 2. Fractions 4. Subtraction of 4. Subtract mixed numbers. i. Subtract two mixed numbers KITS Fractions with same denominators up Specific courseware, to 10. powerpoint presentation, place value frame, number ii. Subtract two mixed cards, word cards, numbers with different Cuisenaire rods denominators up to 10. Curriculum Specifications iii. Solve problem involving Refer to page 14 & 15 subtraction of mixed numbers. Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 4 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 12 1. Numbers 2. Fractions 5. Multiplication of 5. Multiply any proper i. Multiply whole numbers KITS fractions fractions with whole with proper fractions. Specific courseware, numbers up to 1 000. powerpoint presentation, ii. Solve problem involving place value frame, number multiplication of fractions. cards, word cards, Cuisenaire rods Curriculum Specifications Refer to page 16 & 17 Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 13 1. Numbers 3. Decimals 1. Decimal 1. Undersand and use the i. Name and write decimal KITS Numbers vocabulary related to numbers to three decimal Specific courseware, decimals. places. powerpoint presentation, place value frame, number ii. Recognise the place value cards, word cards, of thousandths. Cuisenaire rods iii) Convert fractions of Curriculum Specifications thousandths to decimal Refer to page 18 numbers and vice-versa. Thinking Skills iv. Round off decimal numbers 1. Elaborating to nearest 2. Drawing Conclusion 3. Problem Solving a) tenths, b) hundredths. 5 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 14 1. Numbers 3. Decimals 2. Addition of 2. Add decimal numbers up i. Add any two to four KITS decimal numbers to three decimal places. decimal numbers up to Specific courseware, three decimal places powerpoint presentation, involving place value frame, number a) decimal numbers and cards, word cards, decimal numbers, Cuisenaire rods b) whole numbers and decimal numbers. Curriculum Specifications Refer to page 19 ii. Solve problems involving addition of decimal Thinking Skills numbers. 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 15 1. Numbers 3. Decimals 3. Subtraction of 3. Subtract decimal i. Subtract a decimal number KITS decimal numbers numbers up to three from another decimal up to Specific courseware, decimal places. three decimal places. powerpoint presentation, place value frame, number ii. Subtract successively any cards, word cards, two decimal numbers up to Cuisenaire rods three decimal places. Curriculum Specifications iii. Solve problems involving Refer to page 20 subtraction of decimal numbers. Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 6 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 16 1. Numbers 3. Decimals 4. Multiplication of 4. Multiply decimal i. Multiply any decimal KITS decimal numbers numbers up to three numbers up to three decimal Specific courseware, decimal places with places with powerpoint presentation, a whole number. a) a one-digit numbers, place value frame, number b) a two-digit numbers, cards, word cards. c) 10, 100 and 1 000. Curriculum Specifications ii. Solve problems involving Refer to page 21 multiplication of decimal numbers. Thinking Skills 1. Elaborating 2. Drawing Conclusion 3. Problem Solving 17 1. Numbers 3. Decimals 5. Division of 5. Divide decimal numbers i. Divide a whole number by KITS decimal numbers up to three decimal Specific courseware, places by a whole a) 10, powerpoint presentation, number. b) 100, place value frame, number c) 1 000. cards, word cards. ii. Divide a whole number by Curriculum Specifications Refer to page 22 a) a one-digit numbers, b) a two-digit whole Thinking Skills numbers. 1. Elaborating 2. Drawing Conclusion iii. Divide a decimal number 3. Problem Solving of three decimal places by a) a one-digit numbers, b) a two-digit whole numbers, c) 10, d) 100. iv. Solve problems involving division of decimal numbers. 7 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 18 1. Numbers 4. Percentage 1. Percentage 1. Understand and use i. Name and write the symbol KITS percentage. for percentage. Specific courseware, powerpoint presentation, ii. State fraction of hundredths place value frame, number in percentage. cards, word cards. iii. Convert fraction of Curriculum Specifications hundredths to percentage Refer to page 23 and vice-versa. Thinking Skills 1. Elaborating 2. Drawing Conclusion 19 1. Numbers 4. Percentage 1. Percentage 2. Relate fraction and i. Convert proper fractions of KITS decimals to percentage. tenths to percentage. Specific courseware, powerpoint presentation, ii. Convert proper fraction place value frame, number with denominators of 2, 4, cards, word cards. 5, 20, 25 and 50 to percentage. Curriculum Specifications Refer to page 24 iii. Convert percentage to fraction in its simplest Thinking Skills form. 1. Elaborating iv. Convert percentage to 2. Drawing Conclusion decimal numbers and vice- versa. 20 1. Numbers 5. Money 1. Money to 1. Understand and use the i. Read and write the value of KITS RM100 000 vocabulary related to money in ringgit and sen Specific courseware, money. up to RM100 000. powerpoint presentation, simulation notes and coins, cut out notes and coins, 2. Use and apply i. Add money in ringgit and flash cards mathematics concepts sen up to RM100 000. Curriculum Specifications when dealing with ii. Subtract money in ringgit Refer to page 25 money up to RM100 000. and sen within the range of Thinking Skills RM100 000. 1. Comparing & Contrasting 2. Elaborating 8 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 21 1. Numbers 5. Money 1. Money to 2. Use and apply iii. Multiply money in ringgit KITS RM100 000 mathematics concepts and sen with a whole Specific courseware, when dealing with number, fraction or decimal powerpoint presentation, money up to with products within simulation notes and coins, RM100 000. RM100 000. cut out notes and coins, flash cards iv. Divide money in ringgit and sen with the dividend Curriculum Specifications up RM100 000. Refer to page 25 & 26 v. Perform mixed operation Thinking Skills of multiplication and 1. Comparing & Contrasting division involving money in 2. Elaborating ringgit and sen up to RM100 000. vi. Solve problems in real context involving money in ringgit and sen up to RM100 000. 22 2. Measures 6. Time 1. Reading and 1. Understand the i. Read and write time in the KITS writing time vocabulary related to 24-hour system. Analogue clock face, flash time. cards, number cards, word ii. Relate the time in 24-hour cards, phrase cards, sentence system to 12-hour system. cards iii. Convert time from 24-hour Curriculum Specifications system to 12-hour system Refer to page 27 & 28 and vice-versa. Thinking Skills 1. Planning 2. Elaborating 3. Listing 9 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 22 2. Measures 6. Time 2. Relationship 2. Understand the i. Convert time in fractions and KITS between units of relationship between decimals of a minute to Timetables of programmes, time units of time. seconds. bus or flight schedule, calendars, cards, word cards, ii. Convert time in fractions phrase cards, sentence cards and decimals of an hour to minutes and to seconds. Curriculum Specifications Refer to pages 29 iii. Convert time in fractions and decimals of a day to hours, Thinking Skills minutes and seconds. 1. Translating 2. Drawing Conclusion iv. Convert units of time from a) Century to years and vice-versa b) Century to decades and vice versa. 22 2. Measures 6. Time 3. Basic Operations 3. Add, subtract, multiply i. Add time in hours, minutes KITS Involving Time and divide units of time. and seconds. Analogue clock face, flash cards, number cards, word ii. Subtract time in hours, cards, phrase cards, sentence minutes and seconds. cards, iii. Multiply time in hours, Curriculum Specifications minutes and seconds. Refer to page 30 iv. Divide time in hours, Thinking Skills minutes and seconds. 1. Planning 2. Elaborating 3. Listing 10 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 23 2. Measures 6. Time 4. Duration 4. Use and apply i. Identify the start and end KITS knowledge of time to times of an event. Analogue clock face, flash find the duration. cards, number cards, word ii. Calculate the duration of an cards, phrase cards, sentence event, involving cards, a) hours, minutes and Curriculum Specifications seconds, Refer to page 31 b) days and hours. Thinking Skills 1. Planning 2. Elaborating 3. Listing 24 2. Measures 6. Time 4. Duration 4. Use and apply iii. Determine the start or end KITS knowledge of time to time of an event from a Analogue clock face, flash find the duration. given duration of time. cards, number cards, word cards, phrase cards, sentence iv. Solve problems involving cards, time duration in factions and / or decimals of hours, Curriculum Specifications minutes and seconds. Refer to page 31 Thinking Skills 1. Planning 2. Elaborating 3. Listing 11 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 25 2. Measures 7. Length 1. Measuring Length 1. Measure and compare i. Describe by comparison the KITS distances. distance of one kilometre. Specific courseware, powerpoint presentation, ii. Measure using scales for measuring tapes, rulers, distances between places. objects of different length such as pencils, rope, ribbons place value frame, word cards, sentence cards Curriculum Specifications Refer to page 32 Thinking Skills 1. Comparing & Contrasting 2. Sequencing 26 2. Measures 7. Length 2. Relationships 1. Understand the i. Relate metre and kilometre. KITS Between Units Of relationship between Specific courseware, ii. Convert metre to kilometre Length units of length. powerpoint presentation, and vice versa. measuring tapes, rulers, objects of different length such as pencils, rope, ribbons place value frame, word cards, sentence cards Curriculum Specifications Refer to page 33 Thinking Skills 1. Comparing & Contrasting 2. Sequencing 12 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 27 2. Measures 7. Length 2. Basic Operations 3. Add, subtract, multiply i. Add and subtract units of KITS Involving Length. and divide units of length involving conversion Specific courseware, length. of units in powerpoint presentation, measuring tapes, rulers, a) kilometres objects of different length b) kilometres and metres such as pencils, rope, ribbons word cards, sentence cards ii. Multiply and divide units of length in kilometres Curriculum Specifications involving conversion of Refer to page 34 units with Thinking Skills a) a one-digit number 1. Planning b) 10, 100, 1 000 2. Elaborating 3. Listing iii. Solve problems involving 4. Problem Solving basic operations on length. 28 2. Measures 8. Mass 1. Comparing Mass 1. Compare mass of i. Measure and record masses KITS objects. of objects in kilograms and Specific courseware, grams. powerpoint presentation, weighing scales, flash cards, ii. Compare the masses of two number cards, word cards, objects using kilogram and phrase cards, sentence cards, gram, stating the comparison in multiples or Curriculum Specifications fractions. Refer to page 35 iii. Estimate the masses of Thinking Skills objects in kilograms and 1. Planning grams. 2. Elaborating 3. Listing 13 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 29 2. Measures 8. Mass 1. Comparing Mass 2. Understand the i. Convert units of mass from KITS relationship between fractions and decimals of a Specific courseware, units of mass. kilogram to grams and vice- powerpoint presentation, versa. weighing scales, flash cards, number cards, word cards, ii. Solve problems involving phrase cards, sentence cards, conversion of mass units in fractions and / or decimals. Curriculum Specifications Refer to page 35 Thinking Skills 1. Planning 2. Elaborating 30 2. Measures 9. Volume of 1. Comparing 1. Measure and compare i. Measure and record the KITS Liquid Volume volumes of liquid using volumes of liquid in a Specific courseware, standard units. smaller metric unit given the powerpoint presentation, measure in fractions and / or measuring cylinders, variety decimals of a larger unit. of containers such as bottles, jugs, cans, cups, word cards, ii. Estimate the volumes of sentence cards liquid involving fractions and decimals in litres and Curriculum Specifications millilitres. Refer to page 36 Thinking Skills iii. Compare the volumes of 1. Comparing & Contrasting liquid involving fractions 2. Sequencing and decimals using litres 3. Listing and millilitres. 4. Problem Solving 5. Relaying Information 31 2. Measures 9. Volume of 2. Relationship 2. Understand the i. Convert unit of volumes KITS Liquid Between Units of relationship between involving fractions and Specific courseware, Volume units of volume of liquid. decimals in litres and vice- powerpoint presentation, versa. measuring cylinders, variety of containers such as bottles, ii. Solve problems involving jugs, cans, cups, word cards. volume of liquid. Curriculum Specifications Refer to page 37 14 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 32 2. Measures 9. Volume of 3. Operations On 3. Add and subtract units of i. Add units of volumes KITS Liquid Volume Of volume. involving mixed decimals in Specific courseware, Liquid powerpoint presentation, a) litres, measuring cylinders, variety b) milliliters, of containers such as bottles, c) litres and millilitres jugs, cans, cups, word cards, sentence cards ii. Subtract units of volumes involving mixed decimals in Curriculum Specifications Refer to page 38 a) litres, Thinking Skills b) milliliters, 1. Comparing & Contrasting c) litres and milliliters 2. Sequencing 3. Listing 4. Problem Solving 5. Relaying Information 2. Measures 9. Volume of 3. Operations On 4. Multiply and divide units iii. Multiply units of volumes KITS 33 Liquid Volume Of of volumes. involving mixed numbers Specific courseware, Liquid using powerpoint presentation, a) a one-digit number, measuring cylinders, variety b) 10, 100, 1 000, of containers such as bottles, involving conversion of units. jugs, cans, cups, word cards, sentence cards iv. Divide unit of volumes using Curriculum Specifications a) up to two-digit Refer to page 38 & 39 numbers b) 10, 100, 1 000, Thinking Skills involving mixed decimals 1. Comparing & Contrasting 2. Sequencing v. Divide unit of volumes 3. Listing using 4. Problem Solving a) a one-digit number 5. Relaying Information b) 10, 100, 1 000, involving conversion of units vi. Solve problems involving computations for volume of liquids 15 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 34 3. Shape and 10. Shape and 1. Composite Two- 1. Find the perimeter of i. Measure the perimeter of the KITS Space Space Dimensional composite 2-D shapes. following composite 2-D Specific courseware, Shapes shapes powerpoint presentation, cut out cards of various a) Square and square polygons, pictures cards, b) Rectangle and rectangle word cards, sentence cards c) Triangle and triangle d) Square and rectangle Curriculum Specifications e) Square and triangle Refer to page 40 f) Rectangle and triangle ii. Calculate the perimeter of the following composite 2-D shapes. a) Square and square b) Rectangle and rectangle c) Triangle and triangle d) Square and rectangle e) Square and triangle f) Rectangle and triangle iii. Solve problems involving perimeters of composite 2-D shapes. 16 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 34 3. Shape and 10. Shape and 1. Composite Two- 1. Find the area of i. Measure the area of the KITS Space Space Dimensional composite 2-D shapes. following composite 2-D Specific courseware, Shapes shapes powerpoint presentation, cut out cards of various a) Square and square polygons, pictures cards, b) Rectangle and rectangle word cards, sentence cards c) Square and rectangle Curriculum Specifications ii. Calculate the area of Refer to page 41 the following composite 2-D shapes. a) Square and square b) Rectangle and rectangle c) Square and rectangle iii. Solve problems involving area of composite 2-D shapes. 35 3. Shape and 10. Shape and 2. Composite Three- 1. Find the volume of i. Measure the volume of the KITS Space Space Dimensional composite 3-D shapes. following composite 3-D Specific courseware, Shapes shapes for powerpoint presentation, cut out cards of various a) cube and cube polygons, pictures cards, b) cuboid and cuboid word cards, sentence cards c) cube and cuboid Curriculum Specifications ii. Calculate the volume of Refer to page 42 the following composite 3-D shapes for a) cube and cube b) cuboid and cuboid c) cube and cuboid iii. Solve problems involving volume of composite 3-D shapes. 17 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 36 4. Statistics 11. Data 1. Average 1. Understand and use the i. Describe the meaning of KITS Handling vocabulary related to average, Specific courseware, average. powerpoint presentation, ii. State the average of two or newspaper cutting, pictures three quantities. cards, calendars, cards with tables, word cards, sentence iii. Determine the formula for cards average. Curriculum Specifications Refer to pages 43 Thinking Skills 1. Comparing & Contrasting 2. Elaborating 3. Listing 4. Planning 37 4. Statistics 11. Data 1. Average 2. Use and apply the i. Calculate the average using KITS Handling knowledge of average. formula. Specific courseware, powerpoint presentation, ii. Solve problems in real life newspaper cutting, pictures situations. cards, calendars, cards with tables, word cards, sentence cards Curriculum Specifications Refer to pages 44 Thinking Skills 1. Comparing & Contrasting 2. Elaborating 3. Listing 4. Planning 18 Week Area Topic Learning Area Learning Objectives Learning Outcomes Notes 38 4. Statistics 11. Data 1. Organising and 1. Understand the i. Recognise frequency, KITS Handling Interpreting Data vocabulary relating to mode, range, maximum and Specific courseware, data organisation in minimum value from bar powerpoint presentation, graphs. graphs. newspaper cutting, pictures cards, calendars, cards with tables, word cards, sentence cards Curriculum Specifications Refer to pages 45 Thinking Skills 1. Comparing & Contrasting 2. Elaborating 3. Interpreting Information 4. Planning 39 4. Statistics 11. Data 1. Organising and 2. Organise and interpret ii. Contract a bar graphs from KITS Handling Interpreting Data data from tables and a given set of data Specific courseware, charts. powerpoint presentation, iii. Determine the frequency, newspaper cutting, pictures mode, range, average, cards, calendars, cards with maximum and minimum tables, word cards, sentence value from a given graph. cards Curriculum Specifications Refer to pages 45 Thinking Skills 1. Comparing & Contrasting 2. Elaborating 3. Interpreting Information 4. Planning 19