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Published by g-99182110, 2021-05-19 09:05:55

Panduan PdP Matematik Tahun 4 Versi DLP

Panduan PdP Matematik Tahun 4 Versi DLP

NUMBERS AND OPERATIONS: YEAR 4

Topic Numbers and Operations 60 minutes
Content Standard 1.9 Problem solving

Learning Standard 1.9.2 Solve problems involving addition and subtraction with
one unknown in daily situations.

Activity 1: (Group activity)
a. Distributes Worksheet 1.
b. Pupils solve worksheet in groups.
c. Discuss answers.

Activity 2: (Pairing activity)
a. Display a situation for pupils to discuss in groups.

Example:

There are 8 balls in a basket. There are some balls in another basket. The total
number of balls in both baskets are 12 .

b. Ask pupil to identify words that refer to meaning of the unknown in the given
situation.

c. Explain to pupils that some balls are the unknown in the number sentence.

d. Ask pupils to form a number sentence based on situation given.
Example :
8  a  12

e. Solve number sentence to get the value of a.

f. Distribute Worksheet 2.

g. Pupils discuss and complete the worksheet in pairs.

h. Discuss answer.

Activity 3: (Pairing activity)
a. Display a situation to the pupils. Discuss situation given in groups.

Example :
Dad has 10 exercise books. He gave some exercise books to my sister.
There are 6 exercise books left.

b. Ask pupils to discuss situation and present it to class.

87

NUMBERS AND OPERATIONS: YEAR 4
c. Give another situation to pupils.

Example :
My sister has 13 pencils. She gave some pencils to her friend.
Now she only has 6 pencils left.
d. Guide pupils to identify the unknown in situation given.
e. Ask pupils to form a number sentence based on situation.
Example :
13  b  6
f. Solve number sentence to get value of b.
g. Distribute Worksheet 2.
h. Pupils discuss and complete worksheet in pairs
i. Discuss answer.
Activity 4:
a. Distribute Worksheet 3.
b. Pupils complete worksheets.
Assessment:
Based on pupil’s participation in group activity, pairing activity and worksheets.
Attitude and Values:
Collaboration and leadership skills.

88

NUMBERS AND OPERATIONS: YEAR 4
Worksheet 1

89

NUMBERS AND OPERATIONS: YEAR 4

90

NUMBERS AND OPERATIONS: YEAR 4

91

NUMBERS AND OPERATIONS: YEAR 4

92

NUMBERS AND OPERATIONS: YEAR 4

93

NUMBERS AND OPERATIONS: YEAR 4

How many pairs of clothes are used by the boy?
Paste the most attractive shirts used by the boy.

94

NUMBERS AND OPERATIONS: YEAR 4

Name: _____________________________________ Worksheet 2
Class: ____________

Find the value of unknown.

1. There are some durians in a basket. In another basket there are
3 durians. There are 12 durians altogether.

2. Aminah has 12 Mathematics exercise books. The next day she
bought Bahasa Malaysia exercise books. The total number of her
exercise books is 27.

3. A box contains 135 packs of balloons. Another box contains
several packs of balloons. There are 286 packs of balloons
altogether.

4. There are some blue marbles in a jar. Another jar contains 69
red marbles. The total number of marbles is 358.

5. There are 78 foreign stamps and some Malaysian stamps in an
album. The total number of stamps in the album is 400.

95

NUMBERS AND OPERATIONS: YEAR 4

Name: _____________________________________ Worksheet 3
Class: ____________

Find the value of unknown.

1. 76 890 people visited the book fair. 28 590 of them were children and the
rest were adults.

2. Milah has a collection of foreign stamps. 5 572 are local stamps. The total
stamps in Milah’s collection is 40 000.

3. A factory produces 40 950 bottles of mineral water. 37 588 bottles of
mineral water were sold on the first day while the rest were sold on the
second day.

4. A fruit seller has 68 406 apples. On Monday, he sold 5 579 apples and the
balance were sold on Tuesday.

5. A seller has 63 456 greeting cards. He ordered a few more cards. The total
number of cards that he has now are 90 000.

6. There are 80 000 bookmarks in a box. Ahmad sold 52 000 bookmarks on
Saturday and the balance will be sold the next day.

96

NUMBERS AND OPERATIONS: YEAR 4

Topic Fractions, Decimals dan Percentages 60 minutes
Content Standard
Learning Standard 2.1 Fractions
2.1.1 Convert improper fractions to mixed

numbers and vice versa.

Activity 1: (Individual)

a. Pupils make the shape of square using A4 paper.
b. Pupils divide the produced shape into several same sized shapes.
c. Pupils shade several parts of the shapes with a pencil.
d. Pupils state the value of fractions based on the shaded parts.
e. Teacher reminds the pupils that the type of fractions produced are proper fractions.

Example:

3
4

Activity 2: (Pairwork)
a. Every pair uses their product from Activity 1.
b. Pupils state the value of fractions for the combined shaded parts.

Example:

3 25
4 44

c. Teacher emphasises the types of fractions produced are improper fractions.
d. Pupils compare the types of fractions and summarise the concept of proper fractions

and improper fractions.

Activity 3: (Pairwork)

a. In pairs, pupils show their work from Activity 1.
b. Pupils transfer the shaded coloured parts from one produced shape to fill in

another produced shape. The transfered parts are left blank.
Example:

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NUMBERS AND OPERATIONS: YEAR 4

32 11
44
4

c. Teacher emphasises that all the shaded parts of fractions value is 1.
d. Pupils state the value of fractions produced in mixed numbers.
e. Pupils state the number sentence involving improper fractions conversion to

mixed numbers.
Example:

5 = 4 + 1 = 1 1
4 4 4 4

f. Pupils state the operations of mixed numbers conversion to improper fractions in
number sentence.
Example:

1 1 = 4 + 1 = 5
4 4 4 4

Activity 4: (Pairwork)

a. Teacher shows the division calculation method for improper fraction conversion.
Example:

5 = 5 ÷ 4 = 1 1 1
4 4
45
4
1

b. Teacher emphasises the answers should be in the simplest form.
c. Pupils carry out the operation to convert improper fractions to mixed numbers

using division method or referring to multiplication table.

Activity 5:

1. Guide pupils to convert mixed numbers to improper fractions, using diagram and
calculation.

Example:

Calculate:

2 3 = 2 4 + 3 = 11
4 4 4

Diagram:

2 3 11
4 4

98

NUMBERS AND OPERATIONS: YEAR 4

Activity 6: (Pairwork)

a. Show calculation method of addition for the conversion of mixed numbers to improper
fractions.
Example:

1 1 = 4 + 1 = 5
4 4 4 4

b. Pupils carry out the operation to convert mixed numbers to improper fractions using
addition of fractions.

Activity 7:

a. Each group of five needs to convert some improper fractions to mixed numbers and
vice versa using a diagram and calculation method.

b. Pupils’ work is presented to be evaluated and checked by other groups.

Assessment:
Can be assessed through the pupils’ ability to convert improper fractions to mixed numbers
and vice versa. Assessment can be conducted from pupils’ completed worksheets.

Attitude and value:

Cooperation and leadership skills.

99

NUMBERS AND OPERATIONS: YEAR 4

Worksheet 1

Name: __________________________ Class: _______________

Write the fraction of the shaded area for each diagram.

100

NUMBERS AND OPERATIONS: YEAR 4

Worksheet 2

Name: __________________________ Class: _______________

a. Convert the improper fractions to mixed numbers.

3= 7=

2 6

6 = 12 =
4 10

b. Convert the mixed numbers to improper fractions.

12 = 23 =

3 4

25 = 33 =

8 10

101

NUMBERS AND OPERATIONS: YEAR 4

Topic Fractions, Decimals and Percentages 60 minutes
Content Standard 2.2 Fractions
Learning Standard
2.1.2 Add up to three numbers involving proper fractions,
whole numbers and mixed numbers

Activity 1: (Individual)

a. Pupils write proper fractions, whole numbers and mixed numbers on three pieces of
cards.

b. Choose a pupil randomly to put up the card and read aloud fraction value written on
the cards.
Example:

3 3 3
4 Three 14
One and three quarter
Three quarter

Activity 2: (Pairwork)

a. Show answer for addition of two proper fractions and one mixed numbers with the

same denominator.

Example:

1 + 1 + 1 3 = 1 5
4 4 4 4

b. Emphasize only numerators are added and denominators remain the same.
c. Pupils add two proper fractions with one mixed number with same denominator.

Pupils write answers on a piece of paper.
d. Pupils put up answers on board.
e. Emphasize that answers should be given in the simplest form.
f. Pupils check answers and state them in the simplest form, if necessary.

Activity 3: (Pairwork)

a. Teacher shows sum of two proper fractions with same denominator and one mixed
number with different denominator.
Example:

1 + 1 + 13 = 17

44 8 8

b. Pupils show calculation to find equivalent fraction so that denominator for all
fractions are same before adding.

c. Pupils add two proper fractions with one mixed number with different denominator.
Then, pupils write answers on a piece of paper.

d. Pupils put up answers on board.
e. Emphasize that answers should be given in mixed numbers.
f. Pupils check all answers and state them in the simplest form, if necessary.

102

NUMBERS AND OPERATIONS: YEAR 4
Activity 4:
a. Each group needs to add up proper fractions and mixed numbers (same

denominator and different denominator).
b. Pupils’ works are presented and checked by other groups.
Assessment:
Can be carried out through the working process shown by pupils in pairwork or group
work. The assessment can also be done based on pupils’ worksheets.
Attitude and value:

103

NUMBERS AND OPERATIONS: YEAR 4

Name: __________________________ Worksheet 1
Solve. Class: _______________

1. 3 + 1 + 1 = 2. 2+2+12 =
5 5 5 99 9

3. 3 + 1 + 3 3 = 4. 3+1+7=
44 4
10 10 10

5. 2 3 + 3 7 + 1 = 6. 2 3 + 1 + 1 5 =
5 10 10 88 8

7. 2 3 + 1 + 3 9 = 8. 5 3 + 1 7 + 3 1 =
10 2 10 48 4

9. 2 2 + 2 1 + 4 5 = 10. 4 1 + 1 7 + 2 1 =
2 8 4
936

104

NUMBERS AND OPERATIONS: YEAR 4

Topic Fractions, Decimals dan Percentages 60 minutes
Content Standard 2.3 Fractions

Learning Standard 2.1.3 Subtraction of fractions:
(i) Subtract any two numbers involving whole

numbers, proper fractions and mixed numbers.
(ii) Subtract any two numbers from one number

involving whole numbers, proper fractions and
mixed numbers.

Activity 1: (Individual)

a. Pupils match improper fractions with mixed numbers or whole numbers correctly. Use
Worksheet 1.

Activity 2: (Pairwork)

a. Show answers for subtraction of mixed numbers with same denominator.

Example:

2 3 – 1 1 = 1 2
4
4 4

b. Pupils state that if denominators are the same, only numerators are subtracted.
c. Pupils subtract two mixed numbers and write calculation method and answers in a

piece of paper.
d. Pupils put up their works on board.
e. Emphasize that answers should be given in mixed numbers in the simplest form.
f. Pupils check all answers and state them in the simplest form.

Activity 3: (Pairwork)

a. Show answers for subtraction of mixed numbers with same denominator.
Example:

2 1 – 1 3 = 1 1 –3
4 4 4
4

= 5 –3
4
4

2

=4

b. Pupils solve number sentence by changing mixed numbers to improper fractions
before subtraction.

c. Pupils subtract improper fractions and write the answers with calculation method
on a piece of paper.

d. Pupils put up their works on board.
e. Emphasize that answers should be given in mixed number in the simplest form.
f. Pupils check all the answers and state them in the simplest form, if necessary.

105

NUMBERS AND OPERATIONS: YEAR 4

Activity 4 (Pairwork):

a. Show answer of subtraction one proper fraction from one mixed number.
Example:

2 3 – 1 = 19 – 1
8 4 8 4

= 19 – 2
8 8

= 17
8

= 2 1
8

b. Pupils change mixed numbers to improper fractions and the fractions should have
equivalent denominator before subtraction.

c. Pupils subtract improper fraction and write answers on a piece of paper.
d. Pupils put up answers on board.
e. Emphasize that answers should be given in mixed number in the simplest form.
f. Pupils check all answers and state them in the simplest form, if necessary.

Activity 5: (Pairwork)

a. Show answer of subtraction one mixed number and one proper fraction.
Example:

2 1 – 3 = 9 – 3
4 8 4 8

= 18 – 3
8 8

= 15
8

= 1 7
8

b. Pupils convert mixed numbers to improper fractions and ensure the fractions
have equivalent denominator before subtraction.

c. Pupils put up their work on board.
d. Emphasize that answers should be given in mixed number in the simplest form.

Activity 6: (Pairwork)

a. Show answers for subtraction of one proper fraction from a whole number.
Example:

2– 1 = 2 – 1
4 1 4

= 8 – 1
4 4

= 7
4

= 1 3
4

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NUMBERS AND OPERATIONS: YEAR 4
b. Pupils convert whole number to improper fraction and ensure the fractions have

equivalent denominator before subtraction.
c. Pupils put up their work on board.
d. Emphasize that answers should be given in mixed number in the simplest form.
e. Pupils check all answers and state them in the simplest form, if necessary.
Activity 7:
a. Each group has to solve subtraction of proper fractions of mixed numbers (same

and different denominator values).
b. Pupils’ works are presented and checked by other groups.
Assessment:
Can be carried out through the working process shown by pupils in pairwork or group
work. The assessment can be done through pupils’ worksheets.
Attitude and value:
Cooperation and leadership skills.

107

NUMBERS AND OPERATIONS: YEAR 4

Name: __________________________ Worksheet 1
Match. Class: _______________

2 1 1 4
4 8

69
44

1 1 1 2
2 4

2 2
2

1 8
4

4 1 3
4

74
41

1 3 1 1
9 3

108

NUMBERS AND OPERATIONS: YEAR 4

Name: __________________________ Worksheet 2
Solve. Class: _______________

1. 2 4 − 1 − 1 2 = 2. 47−12−21 =
5 5 5
999

3. 52−21−11 = 4. 5 7 − 1 1 − 2 1 =

366 884

5. 5 1 − 1 3 − 2 1 = 6. 4 3 − 1 2 − 2 3 =

2 10 5 555

7. 3 7 − 3 − 5 = 8. 6 2 − 3 1 − 1 5 =
8 8 8 3 6 6

9. 4 2 − 2 1 − 1 = 10. 57−11−23 =

9 93 824

109

NUMBERS AND OPERATIONS: YEAR 4

Topic Fractions, Decimals dan Percentages 60 minutes
Content Standard 2.1 Fractions

Learning Standard 2.1.4 Solve mixed operations of addition and subtraction
involving whole numbers, proper fractions and mixed
numbers.

Activity 1:
a. Form a group of 4.
b. Distribute the Fractions Board Game (refer to Activity Sheet 2).
c. Throw dice. The player who gets the highest score, will play first.
d. The first player throws the dice to start the game.
e. Answer questions on the Fractions Board Game correctly to continue steps.
f. Follow instructions on the Fractions Board Game until end of the game.
g. The player who reaches the end first is the winner.

Activity 2: (Pair work activity)

a. Show answers for mixed operations of addition and subtraction of proper fractions
with same denominator .

Example:

2 + 3 – 1 =
7 7 7

b. Pupils add and subtract the numerator values and write answer on paper.

c. Discuss pupils’ answers.
d. Distribute Fractions Activity Kit (refer to Activity Sheet 2).
e. Arrange the kit based on the given number sentences.
f. Guide pupils to solve it in standard written method.
g. Discuss pupils’ answers.
h. Repeat the activities using another set of questions.

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NUMBERS AND OPERATIONS: YEAR 4

Activity 3: (Pair work activity)

a. Show answer (not yet simplified) for the mixed operations add and subtract proper
fractions with different denominator value.
Example:

2 + 2 – 1 =
3 9 3

b. Pupils calculate by equating the denominator and the value of the numerator is added
and subtracted.

c. Pupils add and subtract fractions with same denominator values and write work
processes and answers on paper.

d. Discuss pupils’ answers

e. Repeat steps a to d with other questions.

Activity 4: (Individual activity)
a. Distribute Worksheet 1.
b. Discuss pupils’ answers

Assessment:

Can be carried out through the working process shown by the pupils in pairwork or group
work. The assessment can be done through the pupils’ worksheets.

Attitude and value:
Cooperation and leadership skills.

111

NUMBERS AND OPERATIONS: YEAR 4
Activity Sheet 2

START 23 MOVE 74 25
BACKWARDS
77 99 48
2 SPACES
LOST A
TURN

MOVE 21
FORWARD
3 SPACES 36

27 13

8 5

1  3
5

LOST A
TURN

1  13 3  15 MOVE 113  213
BACKWARDS
4 9
1 SPACE
LOST A
TURN

22  2 3 MOVE 43  25
FORWARD
5 10 88
1 SPACE
34
53  21

82

FINISH

1 2

112

NUMBERS AND OPERATIONS: YEAR 4

Name: __________________________ Activity Sheet 1
Solve. Class: _______________

1. 3 + 1 − 1 = 2. 2+4−2 =
5 5 5
999

3. 3 − 1 + 3 3 = 4. 3−1+7=
44 4
10 10 10

5. 2 3 + 3 7 − 1 = 6. 2 3 + 1 − 1 5 =
5 10 10 88 8

7. 2 3 − 1 + 3 9 = 8. 5 3 + 1 7 − 3 1 =
10 2 10 48 4

9. 2 2 + 2 1 − 4 5 = 10. 4 1 + 1 7 − 2 1 =
2 8 4
936

113

NUMBERS AND OPERATIONS: YEAR 4

Topic Fractions, Decimals dan Percentages 60 minutes
Content Standard 2.1 Fractions

Learning Standard 2.1.5 Determine the value of proper fractions and mixed
numbers of a quantity.

Activity 1: (Individual)

a. Pupils draw 12 similar shapes creatively.
b. Pupils divide the 12 shapes into 3 groups using regrouping method.
c. Pupils state the number of shapes in each group.
d. Pupils state the number of shapes in two groups.

Example:

4
8

4

4

Activity 2: (Individual)
a. Pupils say aloud number sentence for multiplication of fractions shown by teacher.

Example:

2  12 =
3

b. Show operations from number sentence. Guide pupils to solve either multiplication or
division number sentence first.

Example:

2  12 = 12 ÷ 3  2 or 2 x 12 = 2 x 12 ÷ 3
3
3

c. Pupils state other number sentences for multiplication of fractions for drill and practice.

d. Pupils carry out multiplication and division operations according to number sentences
shown.

114

NUMBERS AND OPERATIONS: YEAR 4

Activity 3: (Individual)
a. Pupils read aloud number sentence for multiplication of fractions shown by teacher.

Example:

1 2  12 =
3

b. Show calculation.
Example:

1 2  12 = 1  12 + (12 ÷ 3  2)
3
= 20

Or

5  12 = 60
3 3

= 20

Or

5  12 = 5 12 ÷ 3
3
= 20

c. Pupils state other number sentences for multiplication of fractions for drill and practice.
d. Pupils solve multiplication and division operations according to number sentences shown.

Activity 4:
a. Each group solves multiplication of fraction questions chosen by group leader.
b. The works are presented and checked by other groups.

Assessment:
Can be carried out through the working process shown by the pupils in pairwork or group
work. The assessment can be done through the pupils’ worksheets.

Attitude and value:
Cooperation and leadership skills.

115

NUMBERS AND OPERATIONS: YEAR 4

Name :__________________________ Worksheet 1
Solve. Class: _______________

3  24 = 5  48 =
6
4

5  64 = 3  70 =
10
8

2 1  33 = 3 2  40 =
3
5

2 4  49 = 3 5  63 =
7
9

116

NUMBERS AND OPERATIONS: YEAR 4

Topic Fractions, Decimals and Percentages 60 minutes
Content Standard 2.2 Decimals

Learning Standard 2.2.1 Add up to three decimals up to three decimal places.
2.2.2 Subtract up to two decimals from one decimal up to

three decimal places.

Activity 1: (Individual)
a. Pupils create three decimal numbers up to three decimal places.

Example:

12.4 0.987 4.23

b. Pupils display and say the numbers.

Example:

12.4 Twelve point four

c. Pupils convert the numbers to three decimal places by adding zero.
Example:

12.400 4.230

Activity 2: (Pair Activity)
a. Show method of writing a decimal number in decimal box.

Example :
tens ones tenths hundreths thousandths

12 4 0 0

b. Pupils arrange and add two decimal numbers.

Example: Tens Ones Tenth Hundredth Thousandth

1 1 4 0 0
2

+ 09 8 7

133 8 7

c. Pupils present the answers to be checked by peers.

d. Pupils write and subtract two decimal numbers correctly.
Example:

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NUMBERS AND OPERATIONS: YEAR 4

tens ones tenth Hund Thou
redth sand

01 3 1 th

12400

– 4230

08170

e. Pupils present the answers to be checked by peers.

Activity 3:

a. Each group creates five decimal numbers up to three decimal places and
exchange the numbers with other groups.
Example:

17.5 0.657 4.17 1.8 2.005

b. Each group write a number sentence involving addition and subtraction
using decimal numbers and solve.

Example:

17.5 + 0.657 + 4.17 - 1.8 - 2.005 =

c. Pupils present answers to be checked by other groups.

Assessment:
Can be carried out through the working process shown by the pupils in pairwork or group
work. The assessment can be done through the pupils’ worksheets.

Attitude and value:
Cooperation and leadership skills.

118

NUMBERS AND OPERATIONS: YEAR 4

Name: __________________________ Worksheet 1
a. Write the following decimal numbers in words. Class: _______________

1) 13.509 =

2) 321.08 =
3) 9233.6 =

4) 101.067 =

b. Write in decimal numbers. =
1) Fourteen point five seven one

2) Two hundred and four point zero seven =

3) Ninety point zero zero six =

4) Eight point one zero four =

119

NUMBERS AND OPERATIONS: YEAR 4

Name: __________________________ Worksheet 2
Solve. Class: _______________

1. 17 + 5.756 + 2.09 = 2. 20.54 + 1.998 + 3.1 =

3. 50 – 23.05 – 3.145 = 4. 32.54 – 4.453 – 12.1 =

5. 28.5 + 6.432 – 9.18 = 6. 43.14 + 2.645 – 8.9 =

7. 37 – 15.126 + 8.04 = 8. 54.2 – 6.284 + 11.2 =

9. 52 + 3.699 – 12.49 – 5.145 = 10. 80.4 – 12.84 + 9.188 + 2.76 =

120

NUMBERS AND OPERATIONS: YEAR 4

Topic Fractions, Decimals and Percentages. 60 minutes
Content Standard 2.3 Percentages

Learning Standard 2.3.1 Convert fractions to percentages and vice versa.

Activity 1:
a. Write four multiplication questions with the product of the two unknowns is 100.

 = 100
 = 100
 = 100
 = 100

b. Pupils form 4 groups. A representative from each group fills in blank spaces.

c. Ensure that pupils do not give the same numbers to fill in the blank spaces.

d. Encourage peer help.

e. Example: 2  50 = 100
4  25 = 100
5  20 = 100
10  10 = 100

f. Name the pairs as multiplication pairs of 100.

Activity 2:

a. Distributes papers containing diagrams divided into 2, 4, 5.10, 20, 25 and 50 parts to

each group.

b. Pupils from each group are asked to shade some parts of the diagram randomly.

Example :

3
10

121

NUMBERS AND OPERATIONS: YEAR 4

7
20

8
25

2
5

c. Another pupil from the group writes the fraction for the shaded part on mini white
board. His/Her shoulder partner shows it to class. Read aloud the fractions. (Each
group should take turns) .

d. Pupils in groups identify denominator for each fraction and relate it to multiplication
pairs of 100.

e. Pupils multiply to make it a fraction of hundred.
f. Emphasize the symbol of percentage.

122

NUMBERS AND OPERATIONS: YEAR 4

Convert fractions to percentages.

Step 1
Write fraction for shaded parts.

7
10

Step 2
Identify pair of 100 for 10.
The pair for 10 is 10
Step 3
Multiply with pair of 10

7 x 10 = 70
10 10 100

Step 4
Write using percentage symbol.
70%

Activity 3:
a. Pupils sit in groups.
b. Each group writes 10 fractions which have pairs of 100 as denominators on mini white
board.
c. Exchange fraction questions with other groups.
d. Each member takes turn to answer question.
e. The first group which answers all questions correctly is the winner.
Activity 4:
a. Pupils complete Worksheet 1 involving the conversion of fractions to percentages.
b. Discuss completed worksheet.
Assessment:
Pupils can convert fractions to percentage correctly.
Values and Attitudes:
Cooperation and team work.

123

NUMBERS AND OPERATIONS: YEAR 4

Name :__________________________ Worksheet 1
Class : _______________
FRACTIONS
PERCENTAGES

80%

5

11
20

50%

2

17
50

76%

Topic Fractions, Decimals and Percentages. 60 minutes
Content Standard
124

Learning Standard

NUMBERS AND OPERATIONS: YEAR 4

2.3 Percentages.

2.3.2 Calculate percentages of quantity of objects.

Activity 1:
a. Places four boxes containing blue and red ping-pong balls (make sure the

total number of each colour is not the same.)

b. The number of ping-pong balls in the boxes is as follows:

10 20 25 50

c. A pupil from each group takes a box.
d. Group members count the number of blue and red ping pong balls in respective

boxes.

e. A group member writes number of blue and red ping pong balls in the form of fraction
on mini white board.

f. Provide some space for each group to write number of ping pong balls on whiteboard
in the form of fractions according to the color of balls.

GROUP 1 GROUP 2 GROUP 3 GROUP 4

g. A representative from each group writes answer on white board.

h. Example: 11 13 29

7

100 20 25 50

125

NUMBERS AND OPERATIONS: YEAR 4
Activity 2:
a. Pupils in group discuss and write fraction in percentage on whiteboard.

13
= 52%

25

b. Based on the percentage, each group forms a question about ping pong ball.
c. Exchange question with other groups.
d. The first group to answer the question correctly is the winner.
Activity 3:
a. Pupils complete Worksheet 1 by calculating percentage based on quantity of objects.
b. Discuss each question.
Assessment:
Pupils can answer all questions correctly.
Values and Attitudes:
Cooperation, team work and creativity.

126

NUMBERS AND OPERATIONS: YEAR 4

Name: __________________________ Worksheet 1
Class: _______________

1. In a test, Melia scores 85%. There are 40 questions in the test.
How many questions did she answer incorrectly?

2. 25% of pupils in a class are boys. The total number of pupils in the class is 44.
Calculate the number of girls in the class.

3. There are 150 marbles in a box. 26% of them are yellow and the rest are red.
Calculate the number of red marbles in the box.

127

NUMBERS AND OPERATIONS: YEAR 4

Topic Fractions, Decimals and Percentages. 60 minutes
Content Standard
Learning Standard 2.4 Problem solving
2.4.1 Solve problems involving fractions,

decimals and percentages.

Activity 1:

a. Prepare several number sentences involving fractions,decimals and
percentages and distributes randomly to each group.

b. Pupils discuss in groups to create a story based on given number sentences
as follows:

3  250 = 0∙85 + 3∙7 = 4∙55 45%  80 = 36
5

150

c. Questions and answers session between teachers and pupils.

Activity 2:

a. Give another question to each group.

b. Pupils are given 3 minutes to solve problems.

c. Teachers and pupils discuss problem using the Polya method.

i. Understand problem.
ii. Make a plan.
iii. Solve problem.
iv. Check answer.

Activity 3:

a. Give a worksheet about daily situation involving fractions, decimals and percentages.

b. Based on situations given, ask pupils to act out the situation to obtain information as
follows:

i. What is given?
ii. What is required?
iii. What are the operations involved?
iv. Problem solving strategy
v. Check answers

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NUMBERS AND OPERATIONS: YEAR 4
Activity 4:
a. Show some questions about everyday situation which involve fractions,

decimals and percentages.
b. Pupils discuss in groups and solve problem.
c. Pupils present outcome in front of class.
d. Do assessment and make conclusions.
Activity 5:
a. Teacher distributes Worksheet 1 to pupils.
Assessment:
Based on the pupils' ability to answer questions in the worksheet.
Values and Attitudes:
Cooperation and team work.

129

Name: __________________________ NUMBERS AND OPERATIONS: YEAR 4

Worksheet 1
Class : _______________

1. There are 10 1 kg of durians, 4 kg of bananas and 2 kg of papayas in a basket.
6 9 3

What is the total weight of all the fruits in the basket?

2. The length of a ribbon is 7 m. Ali cut 0.45 m to wrap gifts. What is the length of the
unused ribbon, in m?

3. Pak Jusoh has 2 500 fish. 80% of the fish are sea bass and the rest are
pomfret. How many sea bass does Pak Jusoh have?

4. Hanafi has 800 papayas. 30% of the papayas has been sold and the
rest are at his shop. How many unsold papayas are there?

5. Nurul gives 3 of her rambutans to Sufiah. The remaining number of rambutans

7

that Nurul has is 168. Calculate the number of rambutans Nurul had originally.

130

NUMBERS AND OPERATIONS: YEAR 4

Topic Money 60 minutes
Content Standard 3.1 Basic operations involving money

Learning Standard 3.1.1 Solve addition number sentences involving
up to three values of money with the sum
up to RM100 000.

Activity 1:

a. Show several money models (RM notes) of RM 100, RM50, RM20, RM10, RM5 and
RM1. Ask pupils to observe the cards.

Example:

b. Ask pupils to say the value of each note based on their previous knowledge.
c. Ask pupils to say the total value of all notes shown by the teacher.
d. Continue the activity with different values of money.

Activity 2:
a. Shows several coins and notes to pupils.

Murid
b. State the total value of money shown.
c. Continue the activity with different combinations of coins and notes.

Activity 3:
a. Form a group of 2 or 3 and label the pupils A, B and C.
b. Put up furniture catalogue on the whiteboard.

131

NUMBERS AND OPERATIONS: YEAR 4

Example :

RM64 971.00 RM29 526.00

RM16 538.00 RM42 738.00

RM32 387.00

c. Teacher prepares question cards A, B and C. Pupil A, B and C write number
sentences based on question cards given and solve them.

[A] [B] [C]
Bedroom set Television set Kitchen cabinet set

Sofa set Study table Television set
Study table Dinner table Study table

d. Every group presents their answers.
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NUMBERS AND OPERATIONS: YEAR 4

Activity 4:

a. Pupils sit in pairs.

b. Distribute shopping catalogues (Examples: Giant, Tesco, Mydin catalogues), a few
sheets of A4 papers, glue and a pair of scissors.

c. Choose three items then cut and paste the items on the A4 paper given.

d. Construct a number sentence and calculate the total price of the three items
chosen.

e. Pupils repeat steps b, c and d by selecting different sets of items in the catalogue.
f. Pupils present their answers.

Examples:

Topic: Favorite food Topic: Stationery

Item 1 Item 2 Item 3 Item 1 Item 2 Item 3
Number Sentence Number Sentence

_____ + _____ + ____ = ______ _____ + _____ + ____ = ______

Activity 5:
a. Distribute Worksheet 1 to pupils.
b. Pupils complete Worksheet 1 and discuss the answers with teacher.

Assessment:

Based on Worksheet 1, pupils must be able to answer at least 5 out of 6 questions
correctly before moving to the next learning standard.

Attitude and Values:
Instill cooperation value in group.

133

NUMBERS AND OPERATIONS: YEAR 4

Name : ___________________________ Worksheet 1

Class : ___________

The nine values of total expenditure on shopped items are given below:

RM45 119.00 RM31 413.00 RM25 207.00

RM39 000.00 RM17 161.00 RM21 333.00

RM23 142.00 RM35 821.00 RM15 673.00

Write the correct values in the diagram, so that the total three values for each set
in a row is RM 77 953.00. Use each value only once.

++

RM77 953.00

++

134

NUMBERS AND OPERATIONS: YEAR 4

Topic Money 60 minutes
Content Standard 3.1 Basic operations involving money

Learning Standard 3.1.2 Solve subtraction number sentences involving up to
two values of money from one value of money within
RM100 000.

Activity 1:
a. Show pictures with price tag.

RM349.00 RM566.30 RM279.65

b. Ask pupils to buy the items above using the money models given.

Example:

c. State the balance.

d. Repeat steps b and c using different amounts of money.

Activity 2:
a. Show number cards.

Example: RM94 120.00 RM62 136.75 RM7 532.99
RM32 647.50

b. Pupils choose two cards.
c. Construct a number sentence to get the difference.
d. Repeat steps b and c with different cards.

135

NUMBERS AND OPERATIONS: YEAR 4

Activity 3:
a. Teacher distributes shopping catalogues (Giant, Tesco), A4 papers, glue and

scissors to each group.
b. Each group is given an amount of money and chooses three items. Cut and paste

the items on the given A4 paper.
c. Calculate the balance.
d. Each group presents their answer.
e. Repeat steps b,c and d with different amounts of money.
Activity 4:
a. Distribute Worksheet 1 and Worksheet 2 to each pupil.
b. Pupils complete Worksheet 1 and 2. Discuss their answers.
Assessment :
Based on Worksheet 1 and 2, pupils must be able to answer at least 10 out of 12
questions before moving on to the next learning standard.
Attitude and Values :
Instill cooperation among pupils, especially when working in a group.

136


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