New
New
Year 3

Explain the relationship between multiples of 4 and multiples of 8

I can explain the relationship between multiples of 4 and multiples of 8

New
New
Year 3

Explain the relationship between multiples of 4 and multiples of 8

I can explain the relationship between multiples of 4 and multiples of 8

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Lesson details

Key learning points

  1. Multiples of 8 are double the multiples of 4
  2. Multiples of 4 are half the multiples of 8
  3. Multiples of 8 are all multiples of 4 but not all multiples of 4 are multiples of 8

Common misconception

Lack of fluency in the 4s and 8s times tables and generalisation of the rule.

Encourage children to test generalisation - model this clearly using key words and identifying why the rule applies.

Keywords

  • Multiple - A multiple is the result of multiplying a number by another whole number.

  • Double / doubling - To double means to become twice as many or to multiply by two.

  • Halving - Halving means to divide into two equal parts.

Children to chorally rehearse their 2s, 4s and 8s times tables at any given opportunity to support fluency.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
numbers are ones that are next to each other.
Correct Answer: adjacent, Adjacent, ADJACENT
Q2.
64 is a multiple of 8. Which multiples of 8 are adjacent to 64?
80
Correct answer: 72
58
Correct answer: 56
Q3.
40 is the fifth multiple of 8. Which mixed operation equation can be used to calculate the missing multiple of 8 on this number line?
An image in a quiz
Correct answer: 5 × 8 + 8
6 × 8
Correct answer: 7 × 8 - 8
Q4.
Andeep knows that 9 × 8 = 72. He used the known fact of 10 × 8 = 80 and 8.
added
Correct answer: subtracted
Q5.
Match the simple equation to the mixed operation equation.
Correct Answer:7 × 8,8 × 8 - 8

8 × 8 - 8

Correct Answer:3 × 8,2 × 8 + 8

2 × 8 + 8

Correct Answer:5 × 8,6 × 8 - 8

6 × 8 - 8

Correct Answer:9 × 8,10 × 8 - 8

10 × 8 - 8

Correct Answer:9 × 8,5 × 8 + 8

5 × 8 + 8

Q6.
Using your knowledge of groups, order the expressions starting with the smallest multiple.
1 - 3 × 8
2 - 5 × 8 + 8
3 - 8 × 8
4 - 10 × 8 - 8

6 Questions

Q1.
Which numbers are multiples of 4 and multiples of 8?
Correct answer: 16
20
Correct answer: 24
28
Correct answer: 32
Q2.
Look at the image. Match the size of the group to the number of groups.
An image in a quiz
Correct Answer:Groups of 4 =,6

6

Correct Answer:Groups of 8 =,3

3

Q3.
Match the groups of 4 to the groups of 8.
Correct Answer:2 × 4 =,1 × 8

1 × 8

Correct Answer:4 × 4 =,2 × 8

2 × 8

Correct Answer:6 × 4 =,3 × 8

3 × 8

Correct Answer:8 × 4 = ,4 × 8

4 × 8

Correct Answer:10 × 4 =,5 × 8

5 × 8

Q4.
Which of the statements are true?
All multiples of 4 are multiples of 8
Correct answer: All multiples of 8 are multiples of 4
Correct answer: Doubling the multiples of 4 gives multiples of 8
Correct answer: Halving the multiples of 8 gives multiples of 4
Q5.
True or false. This image shows 4 × 8 = 32 and 8 × 4 = 32.
An image in a quiz
Correct answer: True
False
Q6.
Look at the image. Which calculations does it show?
An image in a quiz
Correct answer: 5 × 8 = 40
8 × 8 = 64
Correct answer: 10 × 4 = 40