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).

## Starter quiz

### 6 Questions

Q1.
numbers are ones that are next to each other.
Q2.
64 is a multiple of 8. Which multiples of 8 are adjacent to 64?
80
58
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?
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.
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

## Exit quiz

### 6 Questions

Q1.
Which numbers are multiples of 4 and multiples of 8?
20
28
Q2.
Look at the image. Match the size of the group to the number of groups.

6

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.