Page 11 - TM Brochure 2018

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Review 1 Algebra and Fractions 1 Simplify each of the following.
(a) 6p + 13 – 2p + 8p – 8 (b) 23k + 10 – (5k × 3)
2 Find the value of each of the following when f = 6. (a) 5f – 9 + 3f (b)
4f – 3 7
3 Halim has $6.50. Salim has $q more than Halim. Find the average amount of money the two boys have. Give the answer in terms of q.
4 Janice has $m. Siti has twice as much money as Janice. Janice has $9 more than Amiya. How much money do they have altogether? Give the answer in terms of m.
5 Jane bought 5 pens at 7h cents each. She paid the cashier $10. How much change in cents did she receive? Express the answer in terms of h.
6 The length of the rectangle below is four times its breadth.
(a) What is the length of the rectangle in terms of r ?
(b) What is its perimeter in terms of r ?
(c) What is its area if r = 6?
7 The total cost of 50 cupcakes is $z. What is the cost of 1 cupcake in terms of z?
8 Mrs Loke is x years old now. She is thrice as old as Sharon. How old will Sharon be in 10 years’
time? Express the answer in terms of x.
9 The average of 3 numbers is c. One of the numbers is 2c and another number is 9. What is the third number?
10 Adrian has some money. Bryan has twice as much money as Adrian. Chandra has $12 more than Bryan. The 3 boys have a total of $297. How much money does Bryan have?
r cm
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Pair and Share
Discuss with your partner.
Is each pair of algebraic expressions the same or different? Explain your reasons to another pair of pupils.
(a)
5 + q and q + 5 (b) 5q and 5 + q
(c)
q
5 – q and q – 5 (d) 5 and 5q
Play and Learn
Play in groups.
Shuffle and place the prompt cards and numeral cards face down.
3 +×
One member will pick a card from each set. The other members will write the algebraic expressions.
Take turns to pick the cards.
Do and Learn
1 What are the algebraic expressions?
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(a) (b) (c) (d) (e) (f) (g) (h)
Multiply x by 10 Add 6 to q Subtract 8 from p Product of 12 and h Divide k by 7 Subtract r from 35 9 more than u
10 less than w
Statement
Algebraic Expression
Show and Say
Allows pupils to communicate and share what they have learnt with their classmates.
Let’s Recall
Allows pupils to revisit what they
have learnt at lower grades.
Let’s Think Along...
Encourages pupils to think and reason along as they attempt the activities or exercises.
3
1
+
x
4
5
9
6
2
2
Discuss other examples of speed such as the speed limit on traffic signs, speedometer, fan speed and so on.
4 m ABC
a) b) (c) (d)
John runs 5 m per second. Susie walks 50 m in 1 minute. A ball rolls 3 m in 1 second.
A car travels 85 km in 1 hour.
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how and Say
Surf the Internet for examples on different speeds of vehicles and animals.
Make comparisons between different speeds. Share the information with the class.
Example
(a) What is the speed of the fastest bullet train?
(b) What is the speed of a cheetah?
Let’s Think Along ...
o and Learn
at is the speed for each of the following?
26 m
26 m
26 m
Speed
Go to WB 6B 3–4
The figure below shows a path that is 4 m wide throughout. The path is made up of identical small semicircles where the distances A, B and C are 26 m each.
Siti and Janice started walking from the opposite ends of the path. Siti walked along the red edge of the path and Janice walked along the green edge of the path. Find the difference in the distance that Siti and Janice walked. Give the answer in terms of .
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Go to WB 6A 195–198
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Let’s Recall
Multiplication of fractions
26
5
1
Find the value of 1 × 5. 4
2
Find the value of 3 × 2. 2
3
What is 1 of 3 ? 24
4
Find the product of 1 and 9 . Express the answer in the simplest form. 38
5
Find the product of 9 and 8. Express the answer as a mixed number. 45
1 × 5= 1 × 5 44 =5
23 × 2 = 62 =3
23 = 1 21
9 of 8 = 9 × 8 4545
4
=1 1 4
-
1 of 3 = 1 × 3
2424 1of3
3 4
=3 24 8
Method 1
Method 2
1 × 9 = 1 × 9 3 8 3 × 8
1 × 93= 3 31 8 8
=9 24
=3 8
= 18 5 = 33
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Do you know how to ...
Whole Numbers
• find the place value of each digit in a given number? In 1 826 459, the digit 8 stands for 800 000,
the value of the digit 5 is 50,
the digit 2 is in the ten thousands place.
• find the multiples of given numbers?
The first 5 multiples of 7 is 7, 14, 21, 28 and 35. The 3rd multiple of 8 is 24.
• find the first two common multiples of 2 numbers?
The first two common multiples of 3 and 4 are 12 and 24.
• find the factors of a given number? The factors of 8 are 1, 2, 4 and 8.
5834 rounded to the nearest 10 is 5830. 5834 rounded to the nearest 100 is 5800. 5834 rounded to the nearest 1000 is 6000.
5834 ≈ 5830 5834 ≈ 5800 5834 ≈ 6000
Mastery Checklist
All numbers have 1 and the number itself as factors.
E.g. The factors of 5 are 1 and 5.
A product divides by any of its factors exactly (leaving no remainder).
• round a whole number to the nearest 10, 100 and 1000?
• work out the order of operations?
(a) Mixed operations involving multiplication, division, addition and subtraction:
16 + 4 × 2 – 6 ÷ 3 = 16 + 8 – 2 = 24 – 2
(Multiply or Divide from left to right first) (Add or subtract from left to right)
= 22
(b) Mixed operations with brackets
4 × (8 – 6) ÷ 2 = 4 × 2 ÷ 2 =8 ÷ 2
(Do the operation in brackets first) (Multiply or Divide from left to right)
=4
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Workbook Link
Provides links to related workbook exercises at appropriate junctures in the textbooks.
Buddies
Janice, Siti, Peter, Ravi and Robi are good buddies who will be a part of the journey, learning mathematics with pupils through their comments, prompts and inquiries.
Review
Allows pupils to revise what
they have learnt.
Mastery Checklist Allows pupils to revise key
mathematical concepts.