RPT Matematik 2012
RPT Matematik 2012
RPT Matematik 2012
Penggal
Page number CS
Topic
Objektif (Learning Objectives) 1 Say and use the number names i. in familiar contexts.
ii.
Recognise numerals 1 to 9
Hosnesty
iii. Count a group of objects 1 to 9 2 Read and write numbers from 1 to 9. i. ii. Write numerals 1 to 9. Read numbers words one to nine.
iii. Write number words one to nine. 4th 24 - 28.01.11 5th 1 31.01 - 04.02. 6th 07 - 11.02.11 6 4 WHOLE NUMBERS 3 Say and use the number names i. in order. Arrange numbers 1 to 9: a. count on in ones. b. count back in ones. Number 0 to 10
i. ii.
iii. Count a group of objects to 10. 7th 14 - 18.02.11 7 iv. Write numbers 0 and 10. v. Read number words zero to ten. vi. Write number words zero to ton. 8th 21 - 25.02.11 8 5 Understand and use the i. vocabulary of comparing and arranging numbers or quantities. Arrange numbers from 0 to 10; a. count on in ones. b. count back in ones. c. count on from a given number. d. count back to a given number.
5 Understand and use the ii. Compare two numbers and say which is more vocabulary of comparing and less arranging numbers or quantities. iii. Identify one more or one less. 1 Use the vocabulary involved in i. addition with the highest total of 10. Find one more than a number from 1 to 9.
10
11
2 Understand addition as combining two groups of objects. Addition with the Highest Total of 10
i. ii.
Find the total of two numbers. Write number sentences for addition.
12 3 Use and apply knowledge of addition in real life. 1 Use the vocabulary involved in subtraction of numbers 0 to 10 14 WHOLE NUMBERS Subtraction within the Range of 10
iii. State all possible pairs of numbers that total up to a given number. iv. Recall rapidly the total of two numbers. i. i. Solve simple problems in real life situations. Find one less than a number.
13
13th \ 04 - 08.04.11 14th 11 - 15.04.11 15th 18 - 22.04.11 16th 25 - 29.04.11 17 17th 02 - 06.05.11 Numbers to 20 16
i.
iii. Count a group of objects 11 to 20. 2 Read and write numbers from 11 i. to 20. ii. Write numbers 11 to 20. Read number words eleven to twenty.
18
i.
19
Numbers to 20
Arrange number 11 to 20; a. count on in ones. b. count back in ones. c. count on from a given number. d. count back to a given number.
20th 23 - 27.05.11 21st 13 - 17.06.11 22nd 20 - 24.06.11 23rd 27.06. - 01.07. Numbers to 100 21 WHOLE NUMBERS 20
iii. Count a group of objects to 100. 2 Read and write numbers to 100. i. ii. Write numerals to 100. Read number words to one hundred.
iii. Write number words to one hundred. 3 Say and use the number names i. in order. Arrange number to 100; a. count on in ones to 100. b. count back in ones from 100.
24th 04 - 08.07.11
22
c. count on in tens form 0. d. count back in tens from 100. e. count on and count back in tens from a given number.
25th 11 - 15.07.11
24
i. ii.
Say ordinal numbers from first to tenth. Use ordinal numbers in different contexts.
26th
1 Use the vocabulary involved in addition. 2 Understand addition as combining two groups of objects.
i.
18 - 22.07.11
i.
Write number sentences for addition. Recall rapidly basic facts of addionn. Solve simple problems in real life situations. Find the difference between two numbers.
4 Use and apply knowledge of addition in real life. 1 Use the vocabulary involved in subtraction.
28th
2 Understand subtraction as "take ii. away" or "difference" between two groups of objects. Subtraction within 3 Know by heart basic facts of the Range of 18 subtraction. i. ii.
29th 08 - 12.08.11 29
Recall rapidly basic facts of subtraction. State all possible pairs of numbers with a difference wquals to a given number.
iii. Recall rapidly the difference of two numbers. 4 Use and apply knowledge of subtraction in real life. 1 Understand and use the vocabulary related to money. i. Solve simple problems in real life situations.
30
i. ii.
Recognise coins and notes of Malaysian currency. Represent the value of money in 'RM' and 'sen'
31
MONEY
Money to RM10
iv. Add and subtract a. coins up to RM1; and b. note up to RM10. v. Solve simple problems in real life situations.
i. ii.
Say time of the day correctly. Say in sequence events of the day.
iii. Name the days of the week in sequence. iv. Name the months of the year in sequence. v. Read and write time to the hour.
1 Understand and use the i. vocabulary related to 3-D Three-Dimensional 2 shapes. and classify common 3- i. Describe Shapes (3-D D shapes. ii. Shapes)
Name solid shapes. Describe features of solid shapes. Sort solid shapes.
iii. Make models. SHAPE AND SPACE 1 Understand and use the vocabulary related to 2-D shapes. i. Name two-dimensional shapes.
38th
17 - 21.10.11
35
Disediakan oleh,
Disemak oleh,
Disahkan oleh,
: : : Matematik Tahun 2
Bidang Pembelajaran (Learning Area)
Penggal
Minggu 1st 03 - 06.01.12 2nd 09 - 13.01.12 3rd 16 - 20.01.12 4th 23 - 27.01.12 5th 30.01 - 03.02.12 6th 06 - 10.02.12
Topic
Objektif (Learning Objectives) 1 Say and use the number names in familiar contexts. i. ii. iii.
Kemahiran (Learning Outcomes) Say the number names to 1000 Recognise numerals to 1000 Count up to 1000 objects by grouping them in hundreds, tens, fives, twos and ones. Write numerals to 1000 Read numbers words to thousand. Write number words to one thousand. Recognise the place value of numbers.
Moral values
2 Read and write numbers to 1000. 3 3 Know what each digit in a number represents.
i. ii. iii. i.
4 WHOLE NUMBERS
One
Numbers to 1000 4 Understand and use the vocabulary of comparing and arranging numbers or quantities to 1000.
i.
Arrange numbers to 1000; a. count on and count back in ones. b. count on and count back in twos. c. count on and count back in fives. d. count on and count back in tens. e. count on and count back in hundreds.
ii. iii.
Compare two numbers and say which is more or less. Arrange numbers in order: a. compare the numbers; and b. position the numbers on a number line.
5 Understand and use ordinal numbers in differents contexts. 1 Understand addition as combining two groups of objects. Addition with the Highest Total of 1000
i. ii. i.
Say ordinal numbers from eleventh to twentieth Use ordinal numbers in different contexts. Add two numbers without regrouping; a. two 1-digit numbers; b. a 2-digit number and a 1-digit number; and
13th 02 - 06.04.12
24
25
1 Understand division as sharing equally or i. grouping. (Corresponding to 2, 3, 4 and ii. Division Within 2, 5 Times-Tables). 3, 4 and 5 Timesiii. Tables
1 Understand division as sharing equally or grouping. (Corresponding to 2, 3, 4 and Division Within 2, 5 Times-Tables). 3, 4 and 5 TimesTables iv. Division Within 2, 3, 4 and 5 TimesTables 2 Derive quickly division facts. (Corresponding to 2, 3, 4 and 5 TimesTables). i. Divide numbers within the multiplication tables. Derive quickly division fact of 2, 3, 4 and 5 Times-Tables.
Division Within 2, 3 Use and apply knowledge of division in real life. 3, 4 and 5 TimesTables 1 Understand and use the vocabulary related to money. Money to RM50
i. ii. i. ii.
Find unknown numbers in number sentences. Solve proglems involving division in real life situations. Represent the value of money in 'RM' and 'sen'. Exchange; a. coins up to RM5; and b. notes up to RM50.
2 Use and apply knowledge of money in real life. 27th 23 - 27.07.12 28th Two 30.07 - 03.08.12 29th 06 - 10.08.12 30th 35 13 - 17.08.12 36 31th 27 - 31.08.12 32nd 03 - 07.09.12 37 38 Solving Problems Involving Time Introduction To Length 34 TIME Relationship Between Units of Time 32 Reading and Writing Time 1 Understand, read and write the vocabulary related to time. 31 MONEY Money to RM50
Add money up to RM50. Subtract money up to RM50. Solve proglems involving money in real life situations. Read time to five minutes. Write the time to five minutes. Use units of time and know the relationship between: a. hour and minutes; and b. day and hours.
i.
i.
1 Understand and use the vocabulary related to length. 1 Measure and compare lenghts by direct comparison and using uniform non-standard units.
i.
i. ii. i.
Compare the lengths of two objects by direct comparison. Measure lengths of objects using uniform non-standard units. Measure lengths of objects using standard units: a. metre, and b. centimetre
LENGTH
39 40 41 MASS
Introduction to Mass
i.
Use the vocabulary related to mass in practical contexts. Compare the masses of two objects by directs comparison. Measure masses of objects using uniform non-standard units. Measure masses of objects using standard unit. Use the vocabulary related to volume in practical contexts.
1 Measure and compare masses by i. direct comparison and by using uniform non-standard units. ii. 2 Measure and compare masses using standard unit. 1 Understand and use the vocabulary related to volume of liquid. 1 Measure and compare volumes of liquids by direct comparison and by using uniform non-standard units. i. i.
24 - 28.09.12
i. ii. i.
Compare the volume of two liquids by direct comparison. Measure volumes of liquids using uniform non-standard units. Measure volumes of liquids using standard unit.
2 Measure and compare volumes of liquids using standard unit. Measuring and comparing Volumes of Liquid
08 -12.10.12 37th 15 - 19.10.12 45 47 48 SHAPE AND SPACE ThreeDimensional Shapes (3-D Shapes)
i. ii. iii.
Identify the appearance of a three-dimensional shape as a whole. Compare and sort three-dimensional shapes according to propeties. Label parts of three-dimensional shapes. Identify three-dimensional shapes based on descriptions. Identify the appearance of a two-dimensional shape as a whole. Compare and sort two-dimensional shapes according to properties. Lebel parts of two-dimensional shapes. Identify two-dimensional shapes based on descriptions.
2 Describe and classify common 3-D shapes. 1 Understand and use the vocabulary related to 2-D shapes.
i. i. ii. iii.
38th 15 - 19.10.12
49
Two-Dimensional Shapes (2-D Shapes) 2 Describe and classify common 2-D shapes.
i.
Disediakan oleh,
Disemak oleh,
Disahkan oleh,
RPT M3 Tahun 3
RANCANGAN PENGAJARAN TAHUNAN BAGI TAHUN 2012 Penyelarasan RPT Peringkat PPD Ranau
SEKOLAH MATA PELAJARAN KELAS / TAHUN Page number CS : : : Matematik Tahun 3 Bidang Pembelajaran (Learning Area)
Penggal
Topic
Objektif (Learning Objectives) 1 Say and use the number names i. in familiar contexts. ii.
Kemahiran (Learning Outcomes) Say the number names to 10 000 Recognise numerals to 10 000
Moral values
iii. Count up to 10 000 objects by grouping them in thousands, hundreds and tens. 2 Read and write numbers to 10 000. i. ii. Write numerals to 10 000 Read numbers words to 10 000.
2nd 09 - 13.01.12 2
iii. Write number words to 10 000. 3 2nd Satu 09 - 13.01.12 4 Whole Numbers Numbers to 10 000 3 Know what each digit in a number represents. i. Recognise the place value of numbers. Arrange numbers to 10 000; a. count on in ones, twos, fives, tens, hundreds and thousands. b. count back in ones, twos, fives, tens, hundreds and thousands. 2nd 09 - 13.01.12 6 5 Understand and use the vocabulary of estimation and approximation. 1 Understand addition as combining two groups of objects. Addition with the Highest Total of 10 000 i. ii. Estimate quantities of objects up to 1,000. Round whole numbers less than 10 000 to the nearest 10. Add up to three numbers without regrouping, involving up to 4-digit numbers Add two numbers up to 4-digit, with regrouping.
4 Understand and use the i. vocabulary of comparing and arranging numbers or quantities to 10 000.
3rd 7 16 - 20.01.12
i. ii.
RPT M3 Tahun 3
4th
Addition with the 2 Use and apply knowledge of addition in real life. Highest Total of 10 000
i.
Solve problem involving addition in real life situtions. Subtracts two numbers up to 4-digit, without regrouping. Subtracts two numbers up to 4-digit, with regrouping
23 - 27.01.12 9
1 Understand subractions as "take i. away" or "difference" between two groups of objects. ii. Subtraction within the Range of 10 000 2 Use and apply knowledge of subtraction in real life.
iii. Subtracts three numbers up to 4-digit, wihtout regrouping. iv. Subtract three number up to 4-digit, with regrouping. i. ii. 1 Understand multiplication as repeated addition (6,7,8 and 9 times-tables). i. ii. Recognise subtraction as the inverse of addition. Solve problem involving subraction in real life situations. Recognise multiplication as repeated addition. Write number sentences for multiplication.
11
12 Whole Numbers 13
iii. Build up the multiplication tables of 6, 7, 8 and 9. iv. Multiply two 1-digit numbers. Multiplication Within 6,7,8 and 9 2 Know by heart the multiplication i. Recall rapidly the multiplication tables of 6, 7, times-tables table of 6, 7, 8 and 9. 8 and 9 times-tables. 3 Use and apply knowledge of multiplication in real life. i. ii. 1 Understand and use the operation of multiplication i. ii. Find unknown numbers in number sentences. Solve problems involving multiplication in real life situations. Multiply 2-digit numbers by 1-digit numbers without regrouping. Multiply 2-digit numbers by 10.
7th
14
13 - 17.02.12
15
iii. Multiply 2-digit numbers by 1-digit numbers with regrouping. iv. Multiply 3-digit numbers by 1-digit numbers without regrouping.
RPT M3 Tahun 3
16 17
v.
vi. Solve problems involving multiplication in real life situations. 1 Understand division as sharing equally or grouping. (Corresponding to 6, 7, 8 and 9 Times-Tables). i. Recognise division as sharing equally.
18
10th 05 - 09.03.12 19 Division Within 6, 7, 8 and 9 TimesTables. 2 Derive quickly division facts. (Corresponding to 6, 7, 8 and 9 Times-Tables). 3 Use and apply knowledge of division in real life. Whole Numbers 1 Understand and use the operation of division.
ii.
iii. Write number sentences for division. iv. Divide numbers within the multiplication tables. i. Derive quickly division fact of 6, 7, 8 and 9 Times-Tables. Find unknown numbers in number sentences. Solve problems involving division in real life situations. Divide 2-digit numbers by 1-digit numbers without remainders. Divide 2-digit numbers by 10 without remainders.
11th
20
19 - 23.03.12 21 Satu
i. ii. i.
12th
26 - 30.03.12
ii.
22
iii. Divide 2-digit number by 1-digit numbers with remainders. Division With The Highest Dividend of 1000 iv. Divide 2-digit numbers by 10 with remainders. v. Divide 3-digit numbers by 1-digit number without remainders.
13th 02 - 06.04.12 23
vi. Divide 3-digit numbers by 1-digit number with remainders. vii. Solve problems involving dividion in real life situations.
RPT M3 Tahun 3
14th
24
Fractions
Introduction of Fractions
1 Understand and use the i. vocabulary related to fractions. 1 Understand and use the ii. vocabulary related to fractions.
Recognise one whole, one half, one quarters and three quarters. Say fractions, parts, one whole, one half, one quarter and three quarters in context.
Introduction of Fractions
iii. Read fractions, parts, one whole, one half, one quarter and three quarters in context. iv. Write 1/2, 1/4 and 3/4 in context. v. Recognise 2/4=1/2 and 4/4 = 1 vi. Recognise fractions as equal shares of a whole set.
Satu
16th 23 - 27.04.12
25
i. ii.
Represent the value of money in RM and sen. Excange: a. coins up to RM10; and b. notes up to RM100
26
iii. Convert ringgit to sen and vice versa. 17th 30.04 04.05.12 27 Money Money to RM100 2 Use and apply knowledge of money in real life. i. ii. Add money up to RM100, Subtract money up to RM100
iii. Multiply money to the higest product of RM100 28 iv. Divide money with dividend not more than RM100 v. 1 Understand, read and write the vocabulary related to time. Reading And Write Time i. ii. Solve problems involving money in real life situations. Read time to the half or quarter hour on a clock. Write the time to the half and quarter hour.
29 20th 21 - 25.05.12 30
31 32
iii. Read simple timetables. Dua 20th 21 - 25.05.12 33 Relationship Between Units of Time ii. Time iv. Read calendars. 1 Understand the relationship between units of time. i. Use units of time and know the relationship between: a. minute and seconds. b. week and days, and c. year and months. Convert weeks to days and vice versa.
RPT M3 Tahun 3
21st 11 - 15.06.12
i.
34 Time
iii. Multiply units of time in: a. hours; and b. minutes iv. Divide units of time in: a. hours; and b. minutes
22nd 18 - 22.06.12 Solving Problems 1 Use and apply knowledge of time in real life. Involving Time 1 Measure and compare lengths using standard units.
36 23rd 25 - 29.07.12
i. i. ii.
Solve problems involving time in real life situations. Read scales to the nearest division. Measure and record lengths of objects using the standard units. a. metres; and b. centimetres
Dua
Length
iii. Compare the lengths of two objects using standard units a. metres; and b. centimetres iv. Estimate the lengths of objects in: a. metres; and b. centimetres 2 Understand the relationship between unist of length. 1 Add, subtract, multiply and divide units of length. i. i. Know and use the relationship between metres and centimetres. Add units of length in: a. metres; and b. centimetres ii. Subtractions units of length in: a. metres; and b. centimetres iii. Multiply units of length in: a. metres; and b. centimetres
24th 02 - 06.07.12 38
39 25th 09 - 13.07.12 40 Length Addtion, Subtraction, Multiplications And Division Involving Length
41
RPT M3 Tahun 3
1 Add, subtract, multiply and Addtion, divide units of length. Subtraction, Multiplications And Division Involving Length Solving Problems 1 Use and apply knowledge of length in real life. Involving Length 1 Measure and compare masses using standard units.
42 27th 23 - 27.07.12
i. i. ii.
Solve problems involving length in real life situations. Read scales to the nearest division. Measure and record masses of objects using the standard units: a. kilograms; and b. grams.
iii. Compare the masses of two objects using standard units. a. kilograms; and b. grams. iv. Estimate masses of objects in: a. kilograms; and b. grams. 1 Understand the relationship between units of mass. i. Know and use the relationship between kilograms and grams.
1 Add, subtract, multiply and divide units of mass. 46 Addition, Subtraction, Multiplication And Division Involving Mass
i.
ii.
iii. Multiply units of mass in: a. kilograms; and b. grams. iv. Divide units of mass in: a. kilograms; and b. grams.
48
1 Use and apply knowledge of Solving Problems mass in real life. Involving Mass
i.
RPT M3 Tahun 3
30th 13 - 17.08.12
49
Read scales to the nearest division. Measure and record volume of liquids using the standard units. a. litres; and b. millilitres.
51
iii. Compare the volumes of two liquids using standard units: a. litres; and b. millilitres. iv. Estimate volumes of liquids in: a. litres; and b. millilitres.
Volume of Liquid
52 Relationship Between Units of Volume of Liquid 1 Understand the relationship between units of volume of liquid. 1 Add, subtract, multiply and divide units of volume of liquid. 54 Addition, Subtraction, Multiplication And Division Involving Volume of Liquid i.
i.
ii.
iii. Multiply units of volume of liquid in: a. litres; and b. millilitres. iv. Divide units of volume of liquid in: a. litres; and b. millilitres.
56 34th 17 - 21.09.12
1 Use and apply knowledge of Solving Problems volume of liquid in real life. Involving Volume of Liquid 1 Understand and use the vocabulary related to 3-D 2 shapes. and classife 3-D Describe shapes. 3 Build 3-D shapes
i.
Identify various types of prisms. Label parts of prisms. Describe features of prisms. Compare prisms and non-prisms. Build 3-D shapes using suitable materials. Build 3-D shapes from given nets.
RPT M3 Tahun 3
34th 17 - 21.09.12
59 60
3-D Shapes
3 Build 3-D shapes 1 Understand and use the vacabulary related to 2-D shapes.
iii. Identify simple nets of 3-D shapes. i. Identify shapes of semi-circles and regular polygons. Describe features of two-dimensional shapes: a. semi-circles; and b. regular polygons. ii. Compare and shor polygons and nonpolygons. Recognise lines of symmetry: a. in the environment; and b. in two-dimensional shapes. ii. Sketch lines of symmetry. Collect data based on given situations. Sort and classify data.
61
Two-Dimensional Shapes
i.
Dua
35th 24 - 28.09.12
i.
62
Symmetry
i. ii.
Disediakan oleh : Unit Pengurusan Akademi, Pejabat Pelajaran Daerah Ranau, Sabah (1 November 2011)
MJ
RANCANGAN PENGAJARAN TAHUNAN BAGI TAHUN 2012 Penyelarasan RPT Peringkat PPD Ranau
SEKOLAH MATA PELAJARAN KELAS / TAHUN
Page number CS 1 1
: : : Matematik Tahun 4
Penggal
Minggu
Topic
Objektif (Learning Objectives) 1 Develop number sense up to 100 000 i. ii. iii. iv.
Kemahiran (Learning Outcomes) Name and write numbers up to 100 000 Determine the place value of the digits in any whole number up to 100 000 Compare value of number to 100 000 Round off numbers to the nearest ten, hundred and thousand. Add any two to four numbers to 100 000 Solve addition problems. Subtract one or two numbers from a bigger number less than 100 000. Multiply four-digit numbers with a) one-digit numbers, c) two-digit numbers. ii. iii. iv. Multiply three-digit numbers with a) 100 Multiply two-digit number with 1000 Solve multiplication problems. Divide five-digit numbers by a) one-digit numbers, c) two-digit numbers. ii. Divide four-digit numbers by a) one-digit numbers, c) two-digit numbers. iii. Solve division problems. Perform mixed operations involving addition and subtraction with numbers less than a) 100 c) 10 000 ii. Solve mixed operation problems. b) 1000 b) 10, 100 and 1000 b) 10, 100 and 1000 b) two-digit numbers b) 10
Moral values
1st 03 - 06.01.12
2nd 09 - 13.01.12
2 3 4
2 Addition With The Highest 1 Add numbers to the total of 100 000 Total of 100 000 3 4 Subtraction within the Range of 100 000 1 Subtract numbers from a number less than 100 000
i. ii. i. i.
3rd 16 - 20.01.12
1 Multiply any two number with the highest product of 100 000 Multiply With The Highest Product of 100 000
Satu 6
Whole Numbers
4th 23 - 27.01.12
1 Divide a number less than 100 000 by a two-digit number Division With The Highest Dividend of 100 000
i.
6 Mixed Operation
i.
6th 06 - 10.02.12
Proper Fractions
Name and write proper fraction with denominators up to 10 Compare the value of two a) the same denominators, b) the numberator of 1 and different denominators up to 10 Express and write equivalent fractions for proper fractions. Express equivalent fractions to its simplest form. Recognise fractions as equal shares of a whole set with denominato up to 10. Add two proper fractions with the same denominator up to 10 to its simplest form. a) with 1 as the numerator for both fractions b) with different numberators.
10 11
Equivalent Fractions
7th 13 - 17.02.12
12
i.
Fraction
ii.
Add two proper fractions with different denominator up to 10 to its simplest form a) with 1 as the numerator for both fractions b) with different numerators.
8th 20 - 24.02.12
Satu
13
i.
Subtract 2 proper fractions with the same denominator up to 10 to its simplest form a) with 1 as the numerator for both fractions b) with different numberators.
ii.
Subtract two proper fractions with different denominators up to 10 to its simplest form a) with 1 as the numerator for both fractions b) with different numerators.
iii.
Solve problems involving subtraction of proper fractions. Name and write decimals with a) one dicimal place, Recognise the place value of a) tenths, c) tenths and hundredths b) hundredths b) two decimal places
14
1 Understand and use the vocabulary related to decimals. Introduction To Decimal Numbers
i. ii.
iii. Decimals
Convert fraction to decimals of a) tenths, b) hundredths c) tenths and hundredths and vice versa
10th 05 - 09.03.12
15
i.
Add any two to 4 decimals of one decimal place involving a) decimals only, b) whole numbers and decimals c) mixed decimals
ii.
Add any two to 4 decimals of two decimal places involving a) decimals only, b) whole numbers and decimals c) mixed decimals
iii.
11th 19 - 23.03.12
16
i.
Subtract one to two decimals from a decimal of one decimal place involving a) decimals only, b) mixed decimals, c) whole numbers and decimal (mixed decimals)
ii. iii.
Subtract one to 2 decimals of one or two decimal places. Solve problems involving subtractions of decimals. Muliply decimals of one decimal place with a) a one-digit number b) 10, 100 and 1000;
12th 26 - 30.03.12
17
1 Multiply decimals up to two decimal places with a whole number. Multiplication of Decimal Numbers
i.
Decimals
ii.
Multiply any decimals of two decimal places with a) a one-digit number, b) 10, 100 and 1000;
iii.
Solve problem involving multiplication of decimals Divide decimals of one decimal place by a) a one-digit number b) 10 Divide decimals of two decimal places by one-digit whole number. Divide decimals by a whole number with the devidend value of up to two decimal places. Solve problems involving division of decimals. Read and write the value of money up to RM10 000
12th 26 - 30.03.12
17 18
Satu
13th 02 - 06.04.12
19
Money To RM 10 000
1 Understand and use the vocabulary related to money 2 Use and apply knowledge of money in real life.
i.
Add money up to RM10 000 Subtract money from up to RM10 000 Multiply money to the highest product of RM10 000 Divide money with dividend not more than RM10 000 Perform mixed operations involving addition and subtraction involving money up to RM10 000 Round off money to the nearest "ringgit" Read time in hours and minutes according to the 12-hour system. Write time in hours and minutes according to the 12-hours system. Construct, read and extract information from a simple schedule. Extract information from a calendar Solve simple real life problems involving reading the calendar.
Money
14th 09 - 13.04.12
20
1 Understand, read and write time i. in hours and minutes ii. 1 Consruct a simple schedule 2 Read a calender i. i. ii.
21 22
Time
Time Schedule
15th 16 - 20.04.12
23
i.
State the relathonship between units of time a) 1 day = 24 hours c) 1 decade = 10 years b) 1 year = 364/366 days.
ii.
Convert: a) years to days, and vice versa, b) decades to years, and vice versa c) years to months, and vice versa. d) hours to days, and vice versa
iii.
Convert time from a) hours to minutes, and vice versa, b) hours and minutes to minutes, and vice versa. c) minutes to hours and ninutes, and vice versa
16th 23 - 27.04.12
24
i.
Add time involving conversion of units with answers in compound units of: a) hour and minutes, c) decades and years b) years and months
ii.
Subtract time involving conversion of units with answers in compound units of: a) hour and minutes, c) decades and years b) years and months
Satu
Time
iii.
Multiply time involving conversion of units with answers in compound units of: a) hour and minutes, b) years and months, c) decades and years
iv.
Divide time involving conversion of units with answers in compound units for time duration of a) hours to minutes, and vice versa, b) years and months, c) decades and years
18th 07 - 11.05.12
26
v.
Solve problems involving basic operations of time a) hour and minutes, c) decades and years b) years and months
26
Time Duration
i. ii.
Read and state the start and the end of an event from a schedule. Calculate the duration of an event from a schedule in a) minutes b) hour c) hour and minutes within a day and two consecutive live days.
21st 11 - 15.06.12
27
Measuring Length
Read measurement of length using units of milimetre. Write measurement of length to the nearest scales of tenth division for: a) centimetre b) metre
21st 11 - 15.06.12
28
i. ii.
State the relationship between centimetre and milimetre. Convert units of length from: a) milimetres to centimetres and vice versa, b) compound units to a uni.
Length
Solve problems involving conversion of units of length Add units of length, involving conversion of units in; a) milimetre, b) metre and centimetre c) centimetre and milimetre
22nd 18 - 22.06.12
29
ii.
Subtract units of length; involving conversion of units in: a) milimetre, b) metre and centimetre, c) centimetre and milimetre
23rd
Dua
29
25 - 29.07.12
Length
i.
Multiply units of length, involving conversion of units by: a) one-digit numbers, b) 10, 100 and 1000;
ii.
Divide units of length involving conbersion of units by a) one-digit numbers, b) 10, 100 and 1000;
iii.
Solve problems involving basic operations of length Measure of masses using in units of kg and gram Read measurement f masses to the nearest scales division of kilograms and grams. Estimate the masses of objects using kgs and gs Convert units of mass from a) kilograms to grams, b) kilograms and grams to grams, c) kilograms and grams to kilograms.
24th 02 - 06.07.12
30
7 Mass
Measuring Mass
i. ii. iii.
31
i.
25th 09 - 13.07.12
32
i.
Add mass involvin units of mass in; a) kilograms, b) grams, c) kilograms and grams.
ii.
Subtract mass involving units of mass in; a) kilograms, c) kilograms and grams. b) grams
26th 16 - 20.07.12
33
7 Mass
Multiply mass involving conversion of units, with a) one-digit numbers, a) one-digit numbers, b) 10, 100 and 1000; b) 10, 100 and 1000 Divide mass involving conersion of units;
iii.
Solve problems involving basic operatios with mass. Read measurement of volume of liquid in litres and mililitres. Write measurement of volume of liquid to the nearest scales of tenth division for a) litre, b) mililitre Measure and record the volume of liquid in ltres and militres Estimate the volume of liquid in litres and mililitres. Convert unit o volume from a) litres to mililitres, c) litres and mililitres to litres, d) litres and mililitres to mililitres. b) mililitre to litres,
27th 23 - 27.07.12
34
i. ii.
iii. iv.
35
1 Understand the relationship Relationship Between between units of volume of Units Of Volume Of Liquid liquid.
36
Volume Of 3 Liquid
i.
Add volume of liquid involving conversion of units in; a) litre, c) litre and mililitre, b) mililitre
30th 13 - 17.08.12
37
ii.
Subtract volume of liquid involving conversion of units in; a) litre, c) litre and mililitre b) mililitre
i. ii.
Multiply volume of liquid involving conversion of units by; a) one-digit numbers, a) one-digit numbers, b) 10, 100 and 1000 b) 10, 100 and 1000 b) rectangle Divide volume of liquid involving conversion of units by; Identify the sides of a; a) square c) triangle
38
1 Understand the figure related to perimeter. Two Dimensional Shapes 1 Understand the figure related to perimeter. Two Dimensional Shapes 2 Understand the figure related to area.
i.
ii.
i. ii.
Identify the dimensions of a a) square Compare squares with a units square; a) rectangle b) square Measure and record the dimensions of squares and rectanges. Calculate the area of squares and rectangles. Solve problems involving perimeter and areas of 2-D shapes b) rectangle
32nd 03 - 07.09.12
39
3 Record and calculate the area i. and perimetre 2-D shapes. ii. iii.
33rd 10 - 14.09.12
40
i. ii. iii.
Identify the dimensions of cubes and cuboids. Measure and record the dimensions of cubes and cuboids. Compare with a cube unit: a) cuboid; b) cube Calculate the volume of cubes and cuboids. Solve problems involvin volume of cubes and cuboids. Recognise a pictograph that represents; a) one units; b) more than one unit Draw pictograph Represent data by a pictograph Recognise; a) horizontal bar graph, b) vertical bar graphs. Express the difference between a horizontal and a vertical bar graphs based on the axis. Tabulate data from data sources. Build; a) horizontal bar graph, b) vertical bar graphs.
41
2 Find the volume for cubes and i. cuboids. ii. 10 Data Handling 1 Pictograph 1 Recognise and draw pictographs. i. ii.
34th 17 - 21.09.12
Dua
42
iii.
35th 24 - 28.09.12
44
2 Bar Graphs
ii.
36th 01 - 05.10.12
iii. iv.
v.
Disediakan oleh,
Unit Pengurusan Akademik, Pejabat Pelajaran Daerah Ranau Tarikh : 1 November 2011
RANCANGAN PENGAJARAN TAHUNAN BAGI TAHUN 2012 Penyelarasan RPT Peringkat PPD Ranau
SEKOLAH MATA PELAJARAN KELAS / TAHUN
Page number CS 1
: : :
Penggal
Topic
Moral values
iv. Round off numbers to the nearest ten, hundred, thousands and hunded thousands. 2nd 09 - 13.01.12 2 3 4 3 Subtraction within the Range of 1 000 000 3 Subtract numbers from a number less than 1 000 000 2 Addition With The Highest 2 Add numbers to the total of Total of 1 000 000 1 000 000 i. ii. i. ii. 5 Satu 3rd 16 - 20.01.12 6 1 iii. 4 Multiply With The Highest Product of 1 000 000 4 Multiply any two numbers with the highest product of 1 000 000 i. Add any two to four numbers to 1 000 000 Solve addition problems. Subtract one number from a bigger number less than 1 000 000. Subtract successifely from a bigger number less than 1 000 000 Solve subtraction problems. Multiply up to five digit numbers with a) a one-digit number b) a two-digit number, c) 10, 100 and 1000 7 3rd 16 - 20.01.12 8 5 Division With The Highest Dividend of 1 000 000 5 Divide a number less than 1 000 000 by a two-digit number ii. i. Solve problems involving multiplication. Divide numbers up to six digits by a) one-digit numbers, b) 10, 100 and 1000; c) two-digit numbers. 9 4th 23 - 27.01.12 10 6 Mixed Operation 6 Perform mixed operation involving multiplication and division. ii. i. ii. Solve problems involving division. Calculate mixed operation on whole numbers involving multiplication and division. Solve problems involving mixed operations of division and multiplication.
Whole Numbers
i. ii.
Name and write improper fraction with denominators up to 10 Compare the value of the two improper fractions. Name and write mixed numbers with denominators up to 10. Convert improper fractions to mixed numbers and vice-versa. Add two mices numbers with the same denominators up to 10. Add two mixed numbers with different denominators up to 10. Solve problems involving addition of mixed. Subtract two mixed numbers with the same denominator up to 10. Subtract two mixed numbers with different denominators up t0 10. Solve problems involving subtraction of mixed numbers. Multiply whole numbers with proper fractions. Solve problems involving multiplication of fractions. Name and write decimal numbers to three decimal places. Recognise the place value of thousandths. Convert fractions of thousandths to decimal numbers and vice versa.
12
i. ii.
6th 06 - 10.02.12
13 2 Fraction
3 Addition of Fractions
i. ii. iii.
7th 13 - 17.02.12
14 15
4 Subtraction of Fractions
i. ii. iii.
Satu
16 17 18
5 Multiplication of Fractions 5 Multiply any proper fraction with a whole number up to 1 000. 1 Decimal numbers
i. ii.
27.02 - 02.03.12
iii.
iv. Round off decimal numbers to the nearest. 3 Decimals 2 Addition of Decimal numbers 2 Add decimals numbers up to three decimal places. i. a) tenths, b) hundredths. 10th 05 - 09.03.12 19 Add any two to four decimal numbers up to three decimal places involving a) decimal numbers and decimal numbers b) whole numbers and decimal numbers. ii. Solve problems involving addition of decimal numbers.
11th 19 - 23.03.12
page 20
i. ii. iii.
Subtract a decimal number from another decimal up to three decimal places. Subtract successively any two decimal numbers up to three decimal places. Solve problems involving subtractions of decimal numbers. Multiply any decimal numbers up to three decimal places with a) a one-digit number b) a two-digit number, c) 10, 100 and 1000
12th 26 - 30.03.12
21
4 Multiplication of Decimal 4 Multiply decimal numbers up to numbers three decimal places with a whole number.
i.
ii. 13th 02 - 06.04.12 22 3 Decimals 5 Devision of Decimal numbers 5 Divide decimal numbers up to three i. decimal places by a whole number. ii.
Solve problems involving multiplication of decimal numbers. Divide a whole number by a) 10 c) 1 000 Divide a whole number by a) a one-digit number b) a two-digit number, b) 100
Satu
14th 09 - 13.04.12
iii.
Divide a decimal number of three decimal places by a) a one-digit number b) a two-digit whole number, c) 10 d) 100
iv. Solve problem involving division of decimal numbers. 15th 16 - 20.04.12 23 1 Percentage 1 Understand and use percentage. i. ii. iii. 2 Convert Fractions and Decimals to Percentage 4 23 - 27.04.12 iii. Percentage 2 Relate fractions and decimals to percentage. i. ii. Name and write the symbol for percentage. State fraction of hundredths in percentage Convert fraction of hundredths to percentage and vice versa. Convert proper fractions of tenths to percentage. Convert proper fractions with the denominators of 2, 4, 5, 20, 25 and 50 to percentage. Convert percentage to fraction in its simplest form
16th
24
17th page 25
1 Understand and use the vocabulary i. related to money 2 Use and apply mathematics i. concepts when dealing with money up to RM100 000 ii. iii.
Read and write the value of money in ringgit and sen up to RM100 000 Add money in ringgit and sen up to RM100 000
30.04 - 04.05.12
Subtract money in ringgit and sen with the range of RM100 000 Multiply money in ringgit and sen with a whole number, fraction or decimal with products within RM100 000
Satu
Money
18th
iv. Divide money in ringgit and sen with divisor up to RM100 000 v. Perform mixed operation of multiplication and division involving money in ringgit and sen up to RM100 000
07 - 11.05.12
26 21st 11 - 15.06.12 27 1 Reading And Writing Time 1 Understand the vocabulary related to time
vi. Solve problems in real context involving money in ringgit and sen up to RM100 000 i. ii. Read and write time in the 24-hour system. Relate the time in the 24-hour system to the 12-hour system. Convert time from the 24-hour system to the 12-hour system and vice versa. Convert time in fractions and cecimals of a minute to seconds. Convert time in fractions and decimals of an hour to minutes and to seconds. Convert time in fractions and decimals of a day to hours, minutes and seconds.
iii.
21st
29
i.
ii.
iii.
iv. Convert units of time from a) century to years and vice versa b) century to decades and vice versa 22nd 18 - 22.06.12 30 2 Basic Operations Involving Time 3 Add, subtract, multiply and divide units of time. i. ii. iii. iv. Add time in hours, minutes and seconds. Subtract time in hours, minutes and seconds. Multiply time in hours, minutes and seconds. Divide time in hours, minutes and seconds.
23rd 25 - 29.07.12
page 31
3 Duration
Identify the start and end times of an event. Calculate the duration of an event, involving a) hours, minutes and seconds. b) days and hours.
Time
iii.
Determine the start or end time of an event from a given duration of time.
iv. Solve problems involving time duration in fractions and/or decimals or hours, minutes and seconds. 1 Measuring Length 1 Measure and compare distances. i. ii. 33 2 Relationships between Units of Length 3 Basic Operations Involving Length 2 Understand the relationship between units of length 3 Add, subtract, multiply and divide units of length. i. ii. i. Describe by comparison the distance of one kilometre. Measure using scales for distance between places. Relate metre and kilometre. Convert metre to kilometre and vice versa Add and subtract units of length involving conversion of units in a) kilometres b) kilometres and metres. 34 ii. Multiply and divide units of length in kilometres involving conversion of units with a) a one-digit number b) 10, 100 and 1000; iii. 1 Comparing Mass 1 Compare mass of objects i. ii. 16 - 20.07.12 iii. 2 Understand the relationship between units of mass. i. Solve problems involving basic operations on length. Measure and record masses of objects in kilograms and grams. Compare the massess of two objects using kilogram and gram, stating the comparison in multiples or fractions. Estimate the masses of objects in kilograms and grams. Convert units of mass from fractions and decimals of a kilogram to grams and vice versa. Solve problems involving conversion of mass units in fractions and/ or decimals.
24th 02 - 06.07.12
32
26th
35
Mass
27th
23 - 27.07.12
ii.
i.
Measure and record the volumes of liquid in a smaller metric unit given the measure in fractions and/or decimals of a larger unit. Estimate the volumes of liquid involving fractions and decimals in litres and mililitres. Compare the volumes of liquid involving fractions and decimals using litres and mililitres. Convert units of volumes involving fractions and decimals in litres and vice versa. Solve problem involving volume of liquid. Add units of volume involving mixed decimals in a) litres b) mililitres, c) litres and mililitres
30.07 - 03.08.12
ii. iii. 2 Relationship between Units of Volume 2 Understand the relationship between units of volume of liquid. i. ii.
37
29th 06 - 10.08.12
38
i.
ii.
Dua
b) mililitres, c) litres and mililitres Multiply units of volume involving mixed number using: a) a one-digit number b) 10, 100, 1000, involving conversion of units. iv. Divide units of volume using a) up to 2 digit number, b) 10, 100, 1000, involving mixed decimals.
30th 13 - 17.08.12
38
30th 13 - 17.08.12
39
v.
Divide unit of volume using a) a one-digit number b) 10, 100, 1000, involving conversion of units.
31th 27 - 31.08.12
page 40
Measure the perimeter of the following composite 2D 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.
32nd 03 - 07.09.12
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 triangle, e) rectangle and triangle.
iii. Dua 34th 17 - 21.09.12 41 10 Shape and Space 2 Find the area of composite 2-D shapes. i.
Solve problems involving perimeter of composite 2-D shapes. Measure the area of the following composite 2-D shapes. a) square and square b) rectangle and rectangle, c) square and rectangle
ii.
Calculate the area of the following composite 2-D shapes: a) square and square b) rectangle and rectangle, c) square and rectangle
iii. 2 Composite ThreeDimensional Shapes 1 Find the volume of composite 3-D shapes. i.
Solve problems involving areas of composite 2-D shapes. Measure the volume of the following composite 3-D shapes a) cube and cube, b) cuboid and cuboid, c) cube and cuboid.
35th 24 - 28.09.12
42
ii.
Calculate the volume of the composite 3-D shapes following a) cube and cube, b) cuboid and cuboid, c) cube and cuboid.
iii. 36th 01 - 05.10.12 Dua 1 Average 1 Understand and use the vocabulary i. related to average. ii. iii. 44 2 Organising and Interpreting Data 11 Data Handling 2 Use and apply knowledge of average. 1 Understand the vocabulary relating to data organisation in graphs. 2 Organise and interpret data from tables and charts i. ii. i.
Solve problems involving volume of composite 3-D shapes. Describe the meaning of average. State the average of two or three quantities. Determine the formula for average. Calculate the average using formula. Solve problem in real live situation. Recognise frequency, mode, range, maximinum and minimum value from bar graphs. Construct a bar graph from a given set of data. Determine the frequency, mode, range, average, maximum and minimum value from a given graph.
43
37th
45
08 -12.10.12
ii. iii.
Disediakan oleh,
Unit Pengurusan Akademik, Pejabat Pelajaran Daerah Ranau Tarikh : 1 November 2011
RANCANGAN PENGAJARAN TAHUNAN BAGI TAHUN 2012 Penyelarasan RPT Peringkat PPD Ranau
SEKOLAH MATA PELAJARAN KELAS / TAHUN
Page number CS 1 1
: : : Matematik Tahun 6
Bidang Pembelajaran (Learning Area) 1 Numbers up to seven digits Objektif (Learning Objectives) 1 Develop number sense up to SEVEN digits i. ii. iii. Kemahiran (Learning Outcomes) Name and write numbers up to SEVEN digits Determine the place value of the digits in any whole number up to SEVEN digits. Express whole numbers in a) decimals b) fractions of a millian and vice versa. 2nd 09 - 13.01.12 3rd 16 - 20.01.12 3 2 Basic operations with numbers up to seven digits. 2 Add, subtract, multiply and divide numbers up to SEVEN digits. i. ii. iv. Compare number values up to seven digits. v. Round off numbers to the nearest tens, hundreds, thousands, ten thousands, hundred thousands and millions. Add any two to five numbers to 9 999 999 Subtract a) one numbers from a bigger number less than 10 000 000 b) successively from a bigger number less than 10 000 000 4th 23 - 27.01.12 4 iii. Multiply up to six-digit numbers with a) a one-digit number b) a two-digit number c) 10, 100 and 1000 iv. Divide numbers of up to SEVEN digits by a) a one-digit number b) 10, 100 and 1000 c) two-digit number 5th 30.01 - 03.02.12 5 v. Solve a) addition, b) subtraction, Moral values
Penggal
Satu
Whole Numbers
2 Basic operations with numbers up to SEVEN digits. 3 Mixed Operation with numbers up to SEVEN digits
c) multiplication, d) division problem involving numbers up to seven digits Compute mixed operations problems involving addition and multiplication. Compute mixed operations problems involving subtractions and division. Compute mixed operations problems involving brackets.
iv. Solve problems involving mixed operations on numbers of up to seven digits. 7 2 Fraction 4 Addition of Fractions 1 Add three mixed numbers with denominators of up to 10. i. ii. iii. 5 Subtraction of Fractions 2 Subtract mixed numbers with denominators up to 10. i. ii. iii. 6 Multiplication of Fractions 3 Multiply any mixed numbers with a whole numbers up to 1000 7 Division of Fractions 4 Divide fractions with a whole number and a fraction. i. ii. Add three mixed numbers with the same denominator of up to 10. Add three mixed numbers with different denominators of up to 10. Solve problems involving addition of mixed numbers. Subtract involving three mixed numbers with the same denominator up to 10. Subtract involving three mixed numbers with different denominators of up to 10. Solve problem involving subtraction of mixed numbers. Multiply mixed numbers with a whole numbers. Divide fractions with a) a whole number b) a fraction iii. Divide mixed number with a) a whole number b) fractions 1 Mixed operation with decimals 1 Perform mixed operations of i. addition and subtraction of decimals of up to 3 decimal places. Add and subtract 3 to 4 decimal numbers of up to 3 decimal places, involving a) decimal numbers only b) whole numbers and decimal numbers Convert mixed numbers to percentage Convert decimal numbers of value more than 1 to percentage.
9 10
11
Decimals
12
Percentage
1 Relationship between 1 Relate fractions and decimals to percentage, fraction and percentage. decimal
i. ii.
13
Percentage
1 Relationship between 1 Relate fractions and decimals to percentage, fraction and percentage. decimal
iii.
iv. Solve problems in real context involving percentage, fractions and decimals. i. ii. Perform mixed operations with money up to a value of RM10 million. Solve problems in real context involving computation of money. Calculate the duration of an event in between a) months b) years c) dates ii. iii. Compute time period from situations expressed in fractions of duration. Solve problem in real context involving computation of time duration. Compute length from a situation expressed in fraction. Solve problem in real context involving computation of length. Compute mass from a situation expresse in fractions. a) proper fraction b) mixed numbers ii. Solve problem in real context involving computation of mass. a) without conversion b) with conversion
14
Money
1 Money up to 10 million
15
Time
1 Duration
Satu
15th 16 - 20.04.12 16th 23 - 27.04.12 17th 30.04 - 04.05.12 18 8 Mass 1 Computation of Mass 1 Use and apply fractional computation to problems involving mass. 16 17 7 Length 1 Computation of Length 1 Use and apply fractional computation to problems involving length.
i. ii. i.
19
Volume of Liquid
i. ii.
Compute volume of liquid from a situation expressed in fraction. Solve problem in real context involving computation of volume of liquid Find the perimeter of a two-dimensional composite shapes of two or more quadrilaterals and triangles. Find the area of a two-dimensional composite shapes of two or more quadrilaterals and triangles.
22nd
20
10
1 Two-Dimensional Shapes 1 Find the perimeter and area of i. composite two-dimensional shepes. ii.
18 - 22.06.12
21
21
10
1 Two-Dimensional Shapes 1 Find the perimeter and area of iii. composite two-dimensional shepes. 2 Three-Dimensional Shapes 1 Find the surface area and volume of i. composite three-dimensional shapes.
Solve problems in real context involving calculation of perimeter and area of two-dimensional shapes. Find the surface area of a three-dimensional composite shape of two or more cubes and cuboids.
22
ii. iii.
Find volume of a three dimensional composite shape of two or more cubes and cuboids. Solve problems in real contexts involving calculation of surface area and volume of three-dimensional shapes. Calculate the average of up to five numbers. Solve problems in real contexts involving average. Construct a pie chart from a given set of data. Determine the frequency, mode, range, mean, maximum and minimum value from a pie chart.
23 1 Average 1 Understand and compute average. i. ii. 2 Organising and interpreting data 1 Organise and interpret data from tables and charts. i. ii.
24 25 26
11
Data Handling
16 - 20.07.12
Disediakan oleh,
Unit Pengurusan Akademik, Pejabat Pelajaran Daerah Ranau Tarikh : 1 November 2011