Page 10 - TM Brochure 2018

Textbook Features
Pair and Share
Provides opportunities for pupils to work in pairs and to assess their learning.
Play and Learn
Engages pupils and reinforces their understanding of mathematical concepts through games and activities.
See and Learn Introduces concepts in a visual
manner, which pupils can
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1
Algebra
Let’s Talk About...
The children are at a shop.
I want to buy a cap and
a pair of shoes.
How much do I have to pay?
I want to buy a cap and a haversack. How much do I have to pay?
I pay for a pair of shoes with a $100 note.
How much change will I get?
1
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1
Let’s Talk About...
Prepares pupils for the mathematical concepts that will be taught. Teachers facilitate the discussion and encourage pupils to talk about the picture.
IT Activity
Enables pupils to show what they have learnt or done using a digital platform.
Hands-On Activity
Engages pupils and reinforces their grasp of mathematical concepts through the use of manipulatives in activities.
relate to, and facilitate their understanding of concepts on an abstract level.
Do and Learn
Enables pupils to check their understanding of mathematical concepts by doing exercises.
C07_TM 6B TB
Do Wha
6
(a (b (
(
Sh 1
2
92
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5 Here is an example of a net of another pyramid.
IT Activity
Use Nets-Solids programme to show how some nets of solids can be folded to form the solids.
Hands-On Activity Work in groups
1 2
Make solid figures using geoshapes. (a) cube (b) cuboid
(c) prism
(d) pyramid
Make nets of solid figures using geoshapes.
Example
net
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See and Learn
Using letters to represent unknown numbers
1 (a)
There are 4 cookies on a plate. Put 1 more cookie on the plate.
(b)
There is an unknown number of cookies in a tin.
Let’s use x to represent the number of cookies in the tin. Put 1 more cookie in the tin.
(c)
The table shows the different numbers of cookies on the plate and in the tin.
In algebra, we use a letter to represent an unknown number.
Number of cookies at first Add 1 more cookie
Add 2 more cookies
Add 3 more cookies
4
4 + 1 = 5 4 + 2 = 6 4 + 3 = 7
x
Algebraic Expressions
4 cookies
(4 + 1) cookies or 5 cookies
x cookies
(x + 1) cookies
x + 1, x + 2 and x + 3 are examples of
algebraic expressions.
Number of cookies on the plate
Number of cookies in the tin
Add
The answer is to be worked out within the brackets. We do not know the value of x, so the answer is (x + 1).
Add
x + 1 x + 2 x + 3
Do and Learn
Solve the word problems.
3
1 The number of girls in a computer club is 7 of the number of boys. There are 42 girls in the club. 9
(a) Find the ratio of the number of girls to the number of boys in the club.
(b) How many boys are there in the club?
2 Amy’s height is 7 of Charles’ height. Amy is 140 cm tall. 6
(a) What is the ratio of Amy’s height to Charles’ height?
(b) How tall is Charles?
3 Mr Lim has 4 as many green balloons as red balloons. He has 35 more red balloons than 9
green balloons.
(a) Find the ratio of the number of red balloons to the number of green balloons.
(b) How many balloons does he have altogether?
4 In the figure, the area of part X is 7 of the area of part Y. Find the difference in area between X
and Y if the area of X is 56 cm2.
4
5 1 of Mary’s savings is equal to 3 of Jolene’s savings. Jolene saves $64. 24
(a) Find the ratio of Mary’s savings to Jolene’s savings.
(b) How much money does Mary save?
money that Jason saved.
(b) How much money did Michael spend?
Self-Check
I know how to solve word problems involving ratio and fraction.
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X
Y
6 Michael and Jason had an equal amount of money. They had $300 altogether. Then they spent $80 altogether and saved the rest. 2 of the money that Michael saved was equal to 4 of the
35 (a) Find the ratio of Michael’s savings to Jason’s savings.
Go to WB 6A
81–86
Self-Check
Helps pupils reflect and self-assess their learning.
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