RPT : MATHEMATICS YEAR 4 1 RANCANGAN PELAJARAN TAHUNAN 2010 SEKOLAH : …………………………………………………………………. MATA PELAJARAN : MATHEMATICS TAHUN : 4 WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES 1.1 Numbers to 100 000 1.1.1 Develop number s ense involving number s up to 100 000. i. Name and write numbers up to 100 000. ii. Determine the place value of the digits in any whole numbers up to 100 000. iii. Compare value of numbers to 100 000, iv. Round off numbers to the nerest tens, hundreds and thousands. 1.2.1 Add numbers to the total of 100 000 . i. Add any two to four numbers to 100 000. ii. Solve addition problems. 1.3.1 Subtract numbe rs from a number less than 100 0 00. i. Sbtract one or two numbers from a bigger number less than 100 000. ii. Solve subtraction problems. 1.4.1 Multiply any two numbers with the highes t product of100 000. i. Multiply three-digit numbers with : a) 100; and b) two-digit numbers. ii. Multiply four-digit numbers with a) one-digit numbers, b) 10; and c) two-digit numbers. iii. Multiply two-digit numbers with 1 000. iv. Solve multiplication problems. 1 (4/1 - 8/1) 1. WHOLE NUMBERS 2 (11/1 - 15/1) 1.2 Addition With The Highest Total Of 100 000 1.3 Subtraction Within The Range of 100 000 3 & 4 (18/1 - 29/1) 1.4 Multiplication with the highest pr oduct of 100 000
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SEKOLAH : ………………………………………………………………….MATA PELAJARAN : MATHEMATICSTAHUN : 4
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES
1.1 Numbers to 100 000
1.1.1 Develop number sense involving numbers up to 100 000.i. Name and write numbers up to 100 000.ii. Determine the place value of the digits in any whole numbers
up to 100 000.iii. Compare value of numbers to 100 000,iv. Round off numbers to the nerest tens, hundreds and
thousands.1.2.1 Add numbers to the total of 100 000.i. Add any two to four numbers to 100 000.ii. Solve addition problems.
1.3.1 Subtract numbers from a number less than 100 000.i. Sbtract one or two numbers from a bigger number less than100 000.
ii. Solve subtraction problems.1.4.1 Multiply any two numbers with the highest product of
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES1.5.1 Divide a number less than 100 000 by a two-digit numbers.i. Divide four-digit numbers by
a) one-digit numbers,b) 10, 100 and 1 000; andc) two-digit numbers.
ii. Divide five-digit numbers bya) one-digit numbers,b) 10, 100 and 1 000; andc) two-digit numbers.
iii. Solve division problems.
1.6 Mixed Operations
i. Perform mixed operations involving addition and subtractionwith numbers less thana) 100,
b) 1 000; andc) 10 000
ii. Solve mixed operation problems.
2. FRACTIONS
2.1 Proper Fractions i. Name and write proper fractions with denominators up to 10.ii. Compare the value of two proper fractions with
a) the same denominators; andb) the numerator of 1 and different denominators up to 10.
2.2 Equivalent Fractions
2.2.1 Express equivalent fractions for proper fractions.
i. Express and write equivalent fractions for proper fractions.ii. Express equivalent fracions to its simplest form.
2.3 Addition of fractions
2.3.1 Add two proper fractions with denominators up to 10.i. Add two proper fractions with the same denominator up to
10 to its simplest forma) with 1 as the numerator for both fractions; andb) with different numerators.
ii. Add two proper fractions with different denominators up to10 to its simplest form
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES
2. FRACTIONS
2.3 Addition of fractionsa) with 1 as the numerator for both fractions; andb) with different numerators.
iii. Solve problems involving addition of proper fractions.2.4.1 Subtract proper fractions with denominators up to 10.
i. Subtract two proper fractions with the same denominator upto 10 to its simplest forma) with 1 as the numerator for both fractions; andb) with different numerators.
ii. Subtract two proper fractions with different denominatorsup to 10 to its simplest form
a) with 1 as the numerator for both fractions; andb) with different numerators.
iii. Solve problems involving subtraction of proper fractions.
3. DECIMALS
3.1 Decimal Numbers
3.1.1 Understand decimal numbersi. Name and write decimals with
a) one decimal place; andb) two decimal places.
ii. Recognise the place value of a) tenths,b) hundredths; andc) tenths and hundredths.
iii. Convert fraction to decimals of a) tenths,b) hundredthsc) tenths and hundredth;and vice-versa.
3.2 Addition of Decimal
3.2.1 Add decimals up to two decimal palces.i. Add any two to four decimals of one decimal place involving
a) decimals only,b) whole numbers and decimals; andc) mixed decimals
ii. Add any two to four decimals of two decimal places involvinga) decimals only,b) whole numbers and decimals; andc) mixed decimals
iii. Solve problems involving addition of decimal numbers.
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES
3. DECIMALS
3.3.1 Subtraction of decimal numbers.i. Subtract one to two decimals from a decimal of one decimal
place involving
a) decimals only,b) mixed decimals; andc) whole numbers and decimals (mixed decimals)
ii. Subtract one to two decimals of one or two decimal places.iii. Solve problems involving subtraction of decimals.3.4.1 Multiply decimals up to two decimal places with a whole
number.i. Multiply any decimals of one decimal place with
a) one-digit number; andb) 10, 100 and 1 000.
ii. Multiply any decimals of two decimal places witha) one-digit number; andb) 10, 100 and 1 000.
iii. Solve problems involving multiplication of decimals.
3.5 Division of Decimal Numbers
i. Divide decimals of one decimal place bya) one-digit number; andb) 10.
ii. Divide decimals of two decimal places by one-digit number.
iii. Divide decimals by a whole number with the dividend valueof up to two decimal placs.
iv. Solve problems involving division of decimals.
4. MONEY 4.1 Money Up To RM10 000
4.1.1 Understand and use the vocabulary related to money.i. Read and write the value of money up tp RM10 000.ii. Add money up to RM10 000.iii. Subtract money from RM10 000.iv. Multiply money to the highest product of RM10 000.v. Divide money with dividend not more than RM10 000.
14(5/4 - 9/4)
3.3 Subtraction of Decimal Numbers
15 & 16(12/4 - 23/4)
3.4 Multiplication of Decimal Numbers
17 & 18(26/4 - 7/5)
3.5.1 Divide decimals up to two decimal places by awhole number.
vi. Solve problems involving money in real life situations.vii. Perform mixed operation involving addition and subtraction
involving money up RM10 000viii. Round off money to the nearest "ringgit".
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES
4. MONEY 4.1 Money Up To RM10 0004.1.2. Use and apply knowledge of money in real life.i. Solve problems involving money up to RM10 000.
5. TIME
5.1 Reading and Writing Time
5.1.1 Understand, read and write time in hours and minutes.i. Read time in hours and minutes according to the 12-hours
system.ii. Write time in hours and minutes according to the 1-hours
system.
5.2 Time Schedule
5.2.1 Construct a simple schedule.
5.2.2 Read a calender i. Extract information from a calendar.ii. Solve simple real life problems involving reading the calender 5.3.1 Understand the relationship between units of time.i. State the relationship between units of time;
a) 1 day = 24 hoursb) 1 year = 365 / 366 daysc) 1 decade = 10 years
ii. Convert :a) years to days, and vice versa,b) decades to years, and vice-cersa,c) years to months, and vice-versa,d) hours to days, and vice-versa.
iii. Convert time froma) hours to minutes, and vice-versa,b) hours and minutes to minutes, and vice-versa; andc) minutes to hours and minutes, and vice-versa.
5.4.1 Add, subtract, multiply and divide units of time.
19(10/5 - 14/5)
20 & 21(17/5 - 28/5)
i. Construct, read and extract information from a simpleschedule.
22(31/5 - 4/6)
5.3 Relationship betweenunits of time
25 & 26
5.4 Basic Operations Involvingi. Add time inolving conversion of units with answers in
a) hours and minutes,b) years and months; andc) decades and years.
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES
5. TIME
a) hours and minutes,b) years and months; andc) decades and years.
a) hours and minutes,b) years and months; and
c) decades and years.
a) hours and minutes,b) years and months; andc) decades and years.
v. Solve problems involving basic operations of time:a) hours and minutes,b) years and months; andc) decades and years.
5.5 Time Duration
5.5.1 Use and apply knowledge of time to find the duration.i. Read and state the start and end of an event from a schedule.ii. Calculate the duration of an event from a schedule in
a) minutes,b) hours; andc) hours and minuteswithin a day and two consecutive five days.
iii. Calculate the start or the end of an event from a givenduration of time and read the start or end of an event.
(21/6 - 2/7)
25 & 26(21/6 - 2/7)
5.4 Basic Operations Involving
Time
ii. Subtract time involving conversion of units with answers incompound units of :
iii. Multiply time involving conversion of units with answers incompound units of :
iv. Divide time involving conversion of units with answers incompound units of :
6.1.1 Measure lengths using standard units.i. Read measurement of length using units of millimetre.ii. Write measurement of length to the nearest scales of tenth
division for :a. centimetre; andb. metre.
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES
6. LENGTH
6.1 Measuring Length
iii. Measure and record lengths of objects using units of :a. millimetre,b. centimetre and millimetre; andc. metre and centimetre.
iv. Estimate the length of objects in :a. millimetre,b. metres and millimetre; andc. centimetre and millimetre,
6.2.1 Understand the relationship between units of length.i. State the relationship between centimetre and millimetre.ii. Convert units of length from :
a) millimetre to centimetre and vice versa,b) compound units to a single unit.
6.3.1 Add and subtract length.i. Add units of length, involving conversion of units in ;
a. millimetre,b. metre and centimetre; and
c. centimetre and millimetre.ii. Subtract units of length, involving conversion of units in ;
a. millimetre,b. metre and centimetre; andc. centimetre and millimetre.
6.3.2 Multiply and divide length.i. Multiply units of length, involving conversion of units, by;
ii. Write measurement of volume of liquid to the nearestscales of tenth division for :a. litre; andb. millilitre.
iii. Measure and record the volume of liquid in litre andmillilitre.
iv. Estimate the volume of liquid in litre and millilitre.
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES
i. Convert units of volume, from :a) litre to millilitre,b) millilitre to litre,c) litre and millilitre to litre; andd) litre and millilitre to millilitre.
8.3.1 Add and subtract units of volume.i. Add volume of liquid involving conversion of units in ;
a. litre,b. millilitre; andc. litre and millilitre.
ii. Subtract volume of liquid involving conversion of units in ;a. litre,
b. millilitre; andc. litre and millilitre.
8.3.2 Multiply and divide units of volume.i. Multiply volume of liquid involving conversion of units by:
a) a one-digit number; andb) 10, 100 and 1 000..
ii. Divide volume of liquid involving conversion of units by:a) a one-digit number; andb) 10, 100 and 1 000..
35(16/8 - 20/8)
8. VOLUMEOF LIQUID
8.1 Measuring Volumeof Liquid
35(16/8 - 20/8)
8. VOLUMEOF LIQUID
8.2 Relationship between unitsof Volume of Liquid
8.2.2 Understand the relationship between units of volume of liquid.
iii. Solve problems involving volume of liquid.9.1.1 Understand the perimeter of a 2-D shapes.i. Identify the sides of a :
a) square,b) rectangle; andc) triangle.
ii. Measure and record the perimeter of a :a) square,b) rectangle; andc) triangle.
WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES / LEARNING OUTCOMES9.1.2 Understand the area of a 2-D shape.i. Identify the dimensions of a :
a) square; andb) rectangle.
ii. Compare with unit squares the size of a :a) rectangle; andb) square.
iii. Measure and record the dimensions of squares and rectangles.9.1.3 Find the area and perimeter of 2-d shapes.i. Calculate the area of squares and rectangles.ii. Solve problems involving perimeter and ares of 2-D shapes.9.2.1 Understand the volume for cubes and cuboids.i. Identify the dimensions of cubes and cuboids.ii. Compare with a unit cube:
a) cuboid; and b) cube.iii. Measure and record the dimensions of cubes and cuboids.9.2.2 Find the volume for cubes and cuboids.i. Calculate the volume of cubes and cuboids..ii. Solve problems involving volume of cubes and cuboids.10.1.1 Use a pictograph to read and display data.i. Describe a pictograph featuring :
b) the title of the graph,c) what the axes represent; andd) what one unit of picture represent.
ii. Extract and interpret information from pictograph.iii. Construct pictographs to illustrate given information.iv. Solve a given problem by organising and interpreting
numerical data in pictographs.
10.2 Bar Graph
10.2.1 Use bar graphs to read and display data.i. Describe a bar graph featuring :
a) the title of the graph; and b) what the axes represent.ii. Extract and interpret information from bar graphs.iii. Construct bar graphs to illustrate given information.iv. Solve a given problem by organising and interpreting