1 1 hour + hour 2 5 By using the table above, 1 hour is 30 minutes and 1 hour is 12 minutes 2 5 Thus 30 minutes + 12 minutes = 42 minutes Example 1:
b.
We can also add the fractions then convert the fraction into minutes. 1 1 hour + hour = 2 5 1 + 1 = 5+2 2 5 10
Example 2:
=
.. minutes
7 10
7 7 hours = X 60 minutes = 42 minutes 10 10
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EXERCISE 1 Name : ______________________
Class : _______
Bukit Durian
7 hour 10
3 hour 5
Bukit Nangka Langsat River 1 hour 4
2 hour 3
Bukit Duku
The pictures above shows Abu Bakar’s family on their way from Bukit Duku to Bukit Sentul champing site.
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A)
B)
State the time taken: a.
from the foothill of Bukit Duku to Bukit Nangka
b.
from Langsat River to Bukit Sentul camp site
c.
from Bukit Nangka to Langsat River.
Calculate: a.
The time taken to complete the whole journey?
b.
What time would they reach the camp site if they started to travel at 9.00 in the morning?
c.
What time should they start from the camp site if they wish to reach Bukit Duku at 5.30 in the afternoon ?
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Lesson
: 29
Topic
: Length
Learning area
: Relationship between units of length
Learning objective
: Understand the relationship between units of length
Learning outcomes
: 1. Relate metre and kilometre 2. Convert metre to kilometer and vice versa
Previous knowledge : Pupils have learnt how to convert unit cm to m and vice versa Problem
: Pupils are not able to convert units
Vocabulary
: Relationship
SUGGESTED ACTIVITIES Show the number line of length. 0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0
100
200
300
400
500
600
700
800
1 kilometre Point to notes: The relationship of kilometre and metre. 1 km = 1000 m Convert units of length i)
Kilometre to metre 1.
4 km = 4 x 1000 m = 4 000 m
1 km = 1000 m
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0.9
1 km
900 1000 m
ii)
Metre to kilometre 700 m = 700 km 1000 = 700 km 1000 7 = km 10 = 0.7 km •
Use Table AKU to convert the units i)
How to read Table AKU in kilometres Kilometre 3
Metre 4
5
7
3.457 km We must use the decimal point ii)
How to read Table AKU in metres. Kilometre 3
Metre 4
5
7
3457 m Do not use the decimal point iii)
How to read Table AKU in kilometre and metre. Kilometre 3
Metre 4
5
7
3 km 457 km Use the bold line as partition between the two place value.
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EXERCISE 1 Name : ______________________ Class : _________ Date : __________ A.
Solve
1) 3 km
=
m
2) 8.3 km
=
m
3) 6 km
=
m
4) 49.56 km =
m
km
6 ) 16 000 m =
km
5) 7 800 m =
7)
Change 14 km to m
8)
Convert 5 000 m to km
9 ) Change 27 050 m to km
10 ) A journey to a town is 25.13 km. Give the answer in m ?
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Lesson
: 30
Topic
: Length
Learning area
: Basic operations involving length
Learning objective
: Add, subtrac, multiply and divide units of length
Learning outcomes
: Add and substract units of length involving conversion of units in a) kilometres b) kilometres and metres
Previous knowledge : Pupils have learnt the basic fact of addition and subtraction Problem
: Pupils are not able to do basic operation involving conversion units of length
Vocabulary
: Add, subtract, conversion, mixed decimal, multiply, quotient
SUGGESTED ACTIVITIES Step 1 Revise the relationship between units of kilometers and metres 1 km = 1000 m Step 2 - Add and subtract length involving conversion of units in; a) kilometers b) metres
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•
Add and subtract using Table AKU i.
Add length involving conversion of units in a)
kilometres + metres e.g : 5.320 km + 647m Kilometres 5 + 5
Metres 3
2
0
6
4
7
9
6
7
Answer = 5.967 km / 5 967 m / 5 km 967 m ii.
Subtract length involving conversion of units in. a)
kilometres - metres e.g : 8.478 km — 396 m Kilometres 8 8
Metres 4
7
8
3
9
6
0
8
2
Answer = 8.082 km / 8 082m / 8 km 82 m
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EXERCISE 1 Name : ______________________ Class : ________ Date : __________ A.
Calculate
1. 4.5 km + 67 m= ________m
2. 400 m + 6.34 km= _______km
3. Add 0.450 km with 560 m and give your answer in m.
4. Add 6400 m and 2.5 km. Write your answer in km
5. Find the total of 8 800 m and 0.35 km in km.
B.
Solve
1. 5000 m — 1.2 km = ______ km 2. 8.3 km — 6 700m = ______ m
3. 7500 m — 6.9 km = ______ km
4. Subtract 7050 m from 9.5 km. Give the answer in metres. 5. Calculate the difference of 6 850 m and 4.5 km. Give your answer in km.
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Lesson
: 31
Topic
: Length
Learning area
: Basic operations involving length
Learning objective
: Add, subtract, multiply and divide units of length
Learning outcomes : Solve problems involving basic operations on length Previous knowledge : Pupils have learnt the basic facts of addition, subtraction, multiplication and division Problems
: Pupils are not able to : i) Understand the questions ii) Determine which operations to apply
Vocabulary
: Add, subtract, conversion, mixed decimal, multiply, quotient
SUGGESTED ACTIVITIES Road Y
Road Z
5.40 km
850 m
Table 1 shows the length of two roads, Y and Z . i)
What is the total length in km of road Y and Z? Total
Addition
5.4km + 850m = 5.4 km + 0.850 km = 6.250 km The total distance of two roads is 6.250 km i)
What is the different of length between the two roads? Different
Subtraction
5.4km — 850m = 5.4km — 0.85km = 4.55km
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EXERCISE 1 Name : ______________________ Class : _________ Date : __________ 1.
A rope measuring 5 000 m long is cut into 10 equal parts. What is the length of each part in km.
2.
The diagram shows a straight line X , Y, and Z . 45m X
Y
Z
If XY is 5 times the length of YZ, what is the length of XZ ? 3.
In a 400-metre race, Rahim is 50 m from the starting point. How many metres is he from the finishing point?
4.
Rashid jogs 1 km 200 m every evening. What is the total distance that he jogs in a week ?
5.
Muthu uses 1.4 km of string to tie a parcel. Find the total length of string, in m that is needed to tie 15 identical parcels.
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Lesson
: 32
Topic
: Mass
Learning area
: Comparing Mass
Learning objective
: Compare masses of objects using standard metric units
Learning outcomes : Measure and record masses of objects in kilogram and gram Previous knowledge : Pupils have learnt to measure and record mass of object using standard unit kg and g Problems
: Pupils are not able to compare mass in fractions of the unit kg and gram
Vocabulary
: Mass, kilogram, gram, compare, compound
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SUGGESTED ACTIVITIES Step 1 Discuss and understand the divisions of the weighing scale. a)
b)
0 kg
9
4
0 kg
1 2
8
1
3
7
3
2
6
c)
4
5
d)
900 850
950
0 g
50
800
200
750
250
700 650 600 550
500
900
100 150
450
300 350 400
0 g
100
800
200
700
300
600 500
400
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Step 2 Explain the marking of the scale. i.
Use an analogue weighing scale with mark division of 2 or 4.
ii.
Place objects on the scale and measure the mass.
iii.
Emphasise that measuring should start from the 0 mark of the weighing scale. a)
1 mark = 0.25 kg scale division by 4 Calculate to find the fraction of a kilogram. 1 x 1 kg 4 = 0.25 kg
e.g. 1 mark =
b)
0.25 _____ ) 4 1.00 0 10 8 20 20
1 mark = 0.5 kg scale division by 2 e.g. 1 mark =
0.5 _____ ) 2 1.00 0 10 10
1 x 1 kg 2
= 0.5 kg
i.
Measure smaller size objects and record.
ii.
Emphasise that one complete rotation of the hand is equal to 1 000 grams.
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c)
The weighing scale with the gram (g) unit is clearly stated 1 mark = 50 grams
00
g
50 100
d)
This type of weighing scale shows 2 marks = 100 grams The weighing scale above shows that the scales are in multiples of 100 for every 2 marks. Each mark represents 50 grams.
Step 3: Explaining the equivalents of the kilogram (kg) and gram (g) weighing scales. The kg Scales
The g scales
a)
The objects weighing 1/2 kg on the 2 division scales shows the equivalent mass of 500 g
a)
The objects weighing 1/2 kg is equivalent to 500 g on the gram scales
b)
The objects weighing 1/4 kg on the 4 division scales shows the equivalent mass of 250 g
b)
The objects weighing 1/4 kg is equivalent to 250 g on the gram scales
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EXERCISE 1 Name : ______________________ Class: __________ Date : _________ A
Convert the mass from kilogram to gram.
i) 3 kg = ___________ g 1 kg = ___________ g 2 2 v) kg = ___________ g 4 iii)
ii)
5 kg = __________ g
iv)
1 kg = __________ g 4
vi) 3 kg = __________ g 4
1 vii) Mother uses kg flour to bake a cake. The mass of the flour used is 5 equivalent to ________ g 2 viii) The mass of a catfish caught by Yusri is kg. He uses a (g) weighing 5 scale to measure its mass. The hand on the scale will show _________ g B
Convert the mass from gram or kilogram.
i)
2 000 g = ___________ kg
ii)
iii)
500 g = ___________ kg
iv) 1 500 g = __________ kg
v)
2 250 g = ___________ kg
vi) 3 750 g = __________ kg
vii) 1 800 g = ___________ kg
viii) 5 400 g = __________ kg
C
i)
8 000 g = __________ kg
Write ‘ >’ for the value greater than , ‘< ’ for the value less than and ‘ = ’ if the values are equal. 2 000 g
2 kg 1 kg 2
iii) 4 500 g
4
v) 500 g
1 kg 4
ii) 1 500 g
1 kg
iv) 1 750 g
1 1 kg 2
vi) 5 500 g
6 kg
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vii) Which mass is greater, 2
3 kg or 2 800 g. 4 Answer : ___________________
1 viii) An orange cake weighs kg and a pandan cake weighs 400 g. 4 Which cake is heavier? Answer : ___________________ ix)
A basket of apples has a total mass of 6 2 kg. A jackfruit weighs 5 400g. 5 If I put the apples on the end marked A and the jackfruit on the end marked B of a see-saw, which part will rise? Draw a circle.
A
B
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Lesson
: 33
Topic
: Comparing Mass
Learning area
: Convert units of mass from fractions and decimals of a kilogram to grams and vice versa
Learning objective
: Understand the relationship between units of mass
Learning outcomes
: Convert mass from: i. kilograms to grams ii. kilograms and grams to grams iii. kilograms and grams to kilograms
Previous knowledge : Pupils have learnt the basic knowledge of mass Problems
: Pupils are not able to convert units of mass i. kilograms and grams to grams ii. kilograms and grams to kilograms
Vocabulary
: Measurement, relationship, decimal point
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SUGGESTED ACTIVITIES Step 1 a)
Facts of masses Emphasise the relationships 1 kg = 1 000 g
Build the conversion table Kilogram (kg)
Gram (g)
Decimal
Fraction
1.000
10 =1 10
0.900
9 10
900
0.800
8 4 = 10 5
800
0.700
7 10
700
0.600
6 3 = 10 5
600
0.500
5 1 = 10 2
500
0.400
4 2 = 10 5
400
0.300
3 10
300
0.200
2 1 = 10 5
200
0.100
1 10
100
1 000
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Step 2 a)
Conversion of kg to g (decimal) Example : i)
2.6 kg = 2.6 x 1000 g = 2 600 g Emphasise that 2.6 kg is equal to 2.600 kg.
ii) b)
3.27 kg = 3.270 kg = 3 270 g
Conversion of kg and g to g. Example: i)
c)
1 kg 680 g = 1 680 g
Conversion of kg and g to kg. Example: i)
5 kg 390 g = 5 kg + 390 kg 1000 = 5 kg + 0.390 kg = 5.390 kg = 5.39 kg
* Please use other examples to explain to the pupils.
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