Sk Kayan Sitiawan Dokumen Sbt Dan Modul Sbt
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- Words: 1,460
- Pages: 16
SUGGESTED ACTIVITIES Round off to the nearest tenths Round off 12.302 to the nearest tenths. i.
Determine the place value you want to round off (the rounding digit) and circle it.
ii.
Look at the digit just to the right (behind) and underline it. (the digit just to the right) 1 2. 3 0 2 = 1 2 . 3
(the rounding digit) Note: If the underlined digit is less than 5, do not change the rounding digit but drop all digits to the right of it. If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it. (See the example as shown below) (Any number) Less than 5 0 1
2
3
More 4
5
6
7
0 Rounding down
than 5 8
9
1 Rounding up
65
06modul matematik (SBT) 65-80
65
23/04/2007, 6:17 PM
Example 2: Round off to the nearest hundredths Round off 34. 786 to the nearest hundredths (the digit just to the right)
34.7 8 6
The rounding digit
(more than 5) +1 3 4 . 7 8
3 4 . 7 9
6
0
Numbers still unchanged So the answer is 34. 79
66
06modul matematik (SBT) 65-80
66
23/04/2007, 6:17 PM
Exercise 1 Name : _________________________ Class : ________ Date : ________
A.
B.
C.
Round off to the nearest tenths. 1.
6.239
=
3. 5.232
=
2.
5.232
=
4. 12.039 =
Round off to the nearest hundredths 1.
0.084
=
3. 103.18 =
2.
18.562
=
4. 40.93
=
Answer the questions 1.
Round off 9.385 to the nearest tenths
2.
Round off 13.579 to the nearest hundredths
3.
Round off 5.399 to the nearest tenths
4.
Round off 0.182 to the nearest hundredths
67
06modul matematik (SBT) 65-80
67
23/04/2007, 6:17 PM
Lesson
: 15
Topic
: Decimals
Learning area
: Multiplication of Decimal Numbers
Learning objective
: Understand and use the vocabulary related to decimals with a whole number
Learning outcome
: Solve problems involving multiplication of decimal numbers
Previous knowledge : Solve problems based on basic operations involving decimal numbers Problem
: Pupils are not able to solve problems involving multiplication of decimal numbers
Vocabulary
: Vertical form, decimal point, estimation, range, product, horizontal form
SUGGESTED ACTIVITIES A bus travels 1.5 km per minute. How far can the bus travel in 4 minutes? We can solve the problem using i
repeated addition 1 minute
= 1.5 km
4 minutes = 1.5 + 1.5 + 1.5 + 1.5 = 6.0 km
68
06modul matematik (SBT) 65-80
68
23/04/2007, 6:17 PM
ii.
Using number line.
0
1
2
1.5 iii.
3
4
5
6
+ 1.5
We can also solve the problems by multiplying the numbers in vertical form. 4 x1.5 km =
x
1. 5 km 4 6. 0 km
The answer is 6.0 km Example 2: 1 litre of petrol costs RM1.52. Find the total cost of 5 litres of petrol i.
Using repeated addition
1l
1l
1l
1l
1l
RM1.52
RM1.52
RM1.52
RM1.52
RM1.52
Solving : RM1.52 + RM1.52 + RM1.52 + RM1.52 + RM1.52 = RM7.60
69
06modul matematik (SBT) 65-80
69
23/04/2007, 6:17 PM
ii.
Solve by tabulating Items
iii.
Price
1 l petrol
RM1.52
1 l petrol
RM1.52
1 l petrol
RM1.52
1 l petrol
RM1.52
1 l petrol
RM1.52
Total
RM7.60
By multiplying
x
RM1.52 5 RM7.60
The answer is RM7.60
70
06modul matematik (SBT) 65-80
70
23/04/2007, 6:17 PM
Exercise 1 Name : ______________________
Class : ________
Date : ________
Solve the problems.
1.
The price of a B grade egg is RM0.23. If Puan Shanti buys 9 eggs of the same type, how much does she have to pay?
2.
The volume of a bottle of orange juice is 1.8 l . What is the total volume for 7 bottles of orange juice?
3.
The value of a particular share is RM6.92. Hisham bought 56 shares. What is his total cost for the shares?
4.
The weight of a piece of meat is 4 kg. What is the weight of 8 pieces of such meat in kg?
5
Find the total length of 3 books of the same size.
0.48 cm
71
06modul matematik (SBT) 65-80
71
23/04/2007, 6:17 PM
Lesson
:
16
Topic
:
Percentage
Learning area
:
Percentage
Learning objective
:
Understand and use percentage.
Learning outcomes
:
i)
State fraction of hundredths in percentage
ii)
Convert fraction of hundredths to percentage and vice versa.
Previous knowledge
:
Pupils have learnt to name and write the symbol for percentage.
Problem
:
Pupils are not able to convert fraction of hundredth to percentage and vice versa.
Vocabulary
:
Percent, percentage
6 100
SUGGESTED ACTIVITIES The grid above shows 6 parts out of 100 was shaded. Use it introduce the concept of percentage and its symbol. 6 can be expressed as ‘6 over 100’. It can be stated as 6 percent or 100 6%. Emphasise that the symbol % carries the meaning of percent, and percent is the short form of per hundred. 6 100
= 6 %
72
06modul matematik (SBT) 65-80
72
23/04/2007, 6:17 PM
Convert fraction to percentage
i)
23 1 = 23 x 100 100
ii)
42 = 42 x 100
= 23 %
1 = 42 % 100
Convert percentage to fraction.
8% =
8 100
31 31% = 100
73
06modul matematik (SBT) 65-80
73
23/04/2007, 6:17 PM
Exercise 1 Name : ________________________ Class : ________
Date : ________
Change to fractions. (a) 25% =
(b) 36% =
(c) 32% =
(d) 66% =
(e) eighty-seven percent =
(f) ninety-one percent =
Convert to percentage. (a)
3 = 100
(b)
17 = 100
(c)
43 = 100
(d)
67 is equal to 100
(e) Seventy-seven over hundred = (f)
Eighty-nine hundredths =
74
06modul matematik (SBT) 65-80
74
23/04/2007, 6:17 PM
Lesson
: 17
Topic
: Percentage
Learning area
: Convert fractions and decimals to percentage
Learning objective
: Relate fractions and decimals to percentage
Learning outcome
: Convert percentage to decimal number and vice versa
Previous knowledge : Pupils have learnt to convert fraction of hundredths to percentage Problem
: Pupils are not able to convert percentage to decimal and vice versa
Vocabulary
: Percent, percentage
SUGGESTED ACTIVITIES •
Use conversion chart to introduce the relationship of fraction, percentage and decimal number.
1% =
1 (one over hundred) = 0.01 (one hundredths) 100
11 100 100
.01
0.01
1% 1%
75
06modul matematik (SBT) 65-80
75
23/04/2007, 6:17 PM
•
To change percentage to decimal 35% = ? i)
Convert the percentage into fraction 35% = 35 100
ii)
Always write the fraction aligned right.
35 100 35 100 iii)
Draw vertical line between 1 and 0.
35 1 00 iv)
Put a dot on the line.
35 1 00 v)
Rewrite in decimal form with a zero in front of the decimal point.
35
0.35
1 00
76
06modul matematik (SBT) 65-80
76
23/04/2007, 6:17 PM
•
Change decimal to percentage. 0.7 = ? i)
Write in two decimal places. 0.7
ii)
= 0.70
Change to fraction with the denominators of 100. 0.7 = 0.70 = 70 100
iii)
Add a percentage symbol. 0.7 = 70 = 70% 100 Therefore, 0.7 = 70%
77
06modul matematik (SBT) 65-80
77
23/04/2007, 6:17 PM
Exercise 1 Name : ______________________ Class : ________
Date : ________
Change to decimal. (a) 8% =
(c)
(b) 20% =
23 = 100
(d) twenty-seven point two three =
(e) eighty-seven percent =
Convert to percentage.
(a) 0.22 =
(b) 0.45 =
(c)
0.67 =
(d) zero point two five =
(e)
99 100 =
78
06modul matematik (SBT) 65-80
78
23/04/2007, 6:17 PM
Lesson
: 18
Topic
: Percentage
Learning area
: Convert fractions and decimals to percentage
Learning objective
: Relate fractions and decimals to percentage
Learning outcomes
: i. Convert proper fractions of tenths to percentage ii. Convert proper fractions with the denominators of 2, 4, 5, 20 and 50 to percentage
Previous knowledge : Pupils have learnt fractions before Problem
: Pupils are not able to multiply fractions with whole numbers
Vocabulary
: Percent, percentage
SUGGESTED ACTIVITIES Example 1 Change
1 to percentage 10
Change the denominator to 100. 1 = 10
1 x 10 10 = 10 x 10 100
10 = 10% 100
79
06modul matematik (SBT) 65-80
79
23/04/2007, 6:17 PM
Example 2: 1 4
=
1 x 25 25 = = 25% 4 x 25 100
Example 3: 1 5
=
1 x 20 20 = = 20% 5 x 20 100
Example 4: 2 5
=
2 x 20 40 = = 40% 5 x 20 100
80
06modul matematik (SBT) 65-80
80
23/04/2007, 6:17 PM
Determine the place value you want to round off (the rounding digit) and circle it.
ii.
Look at the digit just to the right (behind) and underline it. (the digit just to the right) 1 2. 3 0 2 = 1 2 . 3
(the rounding digit) Note: If the underlined digit is less than 5, do not change the rounding digit but drop all digits to the right of it. If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it. (See the example as shown below) (Any number) Less than 5 0 1
2
3
More 4
5
6
7
0 Rounding down
than 5 8
9
1 Rounding up
65
06modul matematik (SBT) 65-80
65
23/04/2007, 6:17 PM
Example 2: Round off to the nearest hundredths Round off 34. 786 to the nearest hundredths (the digit just to the right)
34.7 8 6
The rounding digit
(more than 5) +1 3 4 . 7 8
3 4 . 7 9
6
0
Numbers still unchanged So the answer is 34. 79
66
06modul matematik (SBT) 65-80
66
23/04/2007, 6:17 PM
Exercise 1 Name : _________________________ Class : ________ Date : ________
A.
B.
C.
Round off to the nearest tenths. 1.
6.239
=
3. 5.232
=
2.
5.232
=
4. 12.039 =
Round off to the nearest hundredths 1.
0.084
=
3. 103.18 =
2.
18.562
=
4. 40.93
=
Answer the questions 1.
Round off 9.385 to the nearest tenths
2.
Round off 13.579 to the nearest hundredths
3.
Round off 5.399 to the nearest tenths
4.
Round off 0.182 to the nearest hundredths
67
06modul matematik (SBT) 65-80
67
23/04/2007, 6:17 PM
Lesson
: 15
Topic
: Decimals
Learning area
: Multiplication of Decimal Numbers
Learning objective
: Understand and use the vocabulary related to decimals with a whole number
Learning outcome
: Solve problems involving multiplication of decimal numbers
Previous knowledge : Solve problems based on basic operations involving decimal numbers Problem
: Pupils are not able to solve problems involving multiplication of decimal numbers
Vocabulary
: Vertical form, decimal point, estimation, range, product, horizontal form
SUGGESTED ACTIVITIES A bus travels 1.5 km per minute. How far can the bus travel in 4 minutes? We can solve the problem using i
repeated addition 1 minute
= 1.5 km
4 minutes = 1.5 + 1.5 + 1.5 + 1.5 = 6.0 km
68
06modul matematik (SBT) 65-80
68
23/04/2007, 6:17 PM
ii.
Using number line.
0
1
2
1.5 iii.
3
4
5
6
+ 1.5
We can also solve the problems by multiplying the numbers in vertical form. 4 x1.5 km =
x
1. 5 km 4 6. 0 km
The answer is 6.0 km Example 2: 1 litre of petrol costs RM1.52. Find the total cost of 5 litres of petrol i.
Using repeated addition
1l
1l
1l
1l
1l
RM1.52
RM1.52
RM1.52
RM1.52
RM1.52
Solving : RM1.52 + RM1.52 + RM1.52 + RM1.52 + RM1.52 = RM7.60
69
06modul matematik (SBT) 65-80
69
23/04/2007, 6:17 PM
ii.
Solve by tabulating Items
iii.
Price
1 l petrol
RM1.52
1 l petrol
RM1.52
1 l petrol
RM1.52
1 l petrol
RM1.52
1 l petrol
RM1.52
Total
RM7.60
By multiplying
x
RM1.52 5 RM7.60
The answer is RM7.60
70
06modul matematik (SBT) 65-80
70
23/04/2007, 6:17 PM
Exercise 1 Name : ______________________
Class : ________
Date : ________
Solve the problems.
1.
The price of a B grade egg is RM0.23. If Puan Shanti buys 9 eggs of the same type, how much does she have to pay?
2.
The volume of a bottle of orange juice is 1.8 l . What is the total volume for 7 bottles of orange juice?
3.
The value of a particular share is RM6.92. Hisham bought 56 shares. What is his total cost for the shares?
4.
The weight of a piece of meat is 4 kg. What is the weight of 8 pieces of such meat in kg?
5
Find the total length of 3 books of the same size.
0.48 cm
71
06modul matematik (SBT) 65-80
71
23/04/2007, 6:17 PM
Lesson
:
16
Topic
:
Percentage
Learning area
:
Percentage
Learning objective
:
Understand and use percentage.
Learning outcomes
:
i)
State fraction of hundredths in percentage
ii)
Convert fraction of hundredths to percentage and vice versa.
Previous knowledge
:
Pupils have learnt to name and write the symbol for percentage.
Problem
:
Pupils are not able to convert fraction of hundredth to percentage and vice versa.
Vocabulary
:
Percent, percentage
6 100
SUGGESTED ACTIVITIES The grid above shows 6 parts out of 100 was shaded. Use it introduce the concept of percentage and its symbol. 6 can be expressed as ‘6 over 100’. It can be stated as 6 percent or 100 6%. Emphasise that the symbol % carries the meaning of percent, and percent is the short form of per hundred. 6 100
= 6 %
72
06modul matematik (SBT) 65-80
72
23/04/2007, 6:17 PM
Convert fraction to percentage
i)
23 1 = 23 x 100 100
ii)
42 = 42 x 100
= 23 %
1 = 42 % 100
Convert percentage to fraction.
8% =
8 100
31 31% = 100
73
06modul matematik (SBT) 65-80
73
23/04/2007, 6:17 PM
Exercise 1 Name : ________________________ Class : ________
Date : ________
Change to fractions. (a) 25% =
(b) 36% =
(c) 32% =
(d) 66% =
(e) eighty-seven percent =
(f) ninety-one percent =
Convert to percentage. (a)
3 = 100
(b)
17 = 100
(c)
43 = 100
(d)
67 is equal to 100
(e) Seventy-seven over hundred = (f)
Eighty-nine hundredths =
74
06modul matematik (SBT) 65-80
74
23/04/2007, 6:17 PM
Lesson
: 17
Topic
: Percentage
Learning area
: Convert fractions and decimals to percentage
Learning objective
: Relate fractions and decimals to percentage
Learning outcome
: Convert percentage to decimal number and vice versa
Previous knowledge : Pupils have learnt to convert fraction of hundredths to percentage Problem
: Pupils are not able to convert percentage to decimal and vice versa
Vocabulary
: Percent, percentage
SUGGESTED ACTIVITIES •
Use conversion chart to introduce the relationship of fraction, percentage and decimal number.
1% =
1 (one over hundred) = 0.01 (one hundredths) 100
11 100 100
.01
0.01
1% 1%
75
06modul matematik (SBT) 65-80
75
23/04/2007, 6:17 PM
•
To change percentage to decimal 35% = ? i)
Convert the percentage into fraction 35% = 35 100
ii)
Always write the fraction aligned right.
35 100 35 100 iii)
Draw vertical line between 1 and 0.
35 1 00 iv)
Put a dot on the line.
35 1 00 v)
Rewrite in decimal form with a zero in front of the decimal point.
35
0.35
1 00
76
06modul matematik (SBT) 65-80
76
23/04/2007, 6:17 PM
•
Change decimal to percentage. 0.7 = ? i)
Write in two decimal places. 0.7
ii)
= 0.70
Change to fraction with the denominators of 100. 0.7 = 0.70 = 70 100
iii)
Add a percentage symbol. 0.7 = 70 = 70% 100 Therefore, 0.7 = 70%
77
06modul matematik (SBT) 65-80
77
23/04/2007, 6:17 PM
Exercise 1 Name : ______________________ Class : ________
Date : ________
Change to decimal. (a) 8% =
(c)
(b) 20% =
23 = 100
(d) twenty-seven point two three =
(e) eighty-seven percent =
Convert to percentage.
(a) 0.22 =
(b) 0.45 =
(c)
0.67 =
(d) zero point two five =
(e)
99 100 =
78
06modul matematik (SBT) 65-80
78
23/04/2007, 6:17 PM
Lesson
: 18
Topic
: Percentage
Learning area
: Convert fractions and decimals to percentage
Learning objective
: Relate fractions and decimals to percentage
Learning outcomes
: i. Convert proper fractions of tenths to percentage ii. Convert proper fractions with the denominators of 2, 4, 5, 20 and 50 to percentage
Previous knowledge : Pupils have learnt fractions before Problem
: Pupils are not able to multiply fractions with whole numbers
Vocabulary
: Percent, percentage
SUGGESTED ACTIVITIES Example 1 Change
1 to percentage 10
Change the denominator to 100. 1 = 10
1 x 10 10 = 10 x 10 100
10 = 10% 100
79
06modul matematik (SBT) 65-80
79
23/04/2007, 6:17 PM
Example 2: 1 4
=
1 x 25 25 = = 25% 4 x 25 100
Example 3: 1 5
=
1 x 20 20 = = 20% 5 x 20 100
Example 4: 2 5
=
2 x 20 40 = = 40% 5 x 20 100
80
06modul matematik (SBT) 65-80
80
23/04/2007, 6:17 PM
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