New
New
Year 3

# Explain the relationship between the multiples of 2, 4 and 8

I can explain the relationship between the multiples of 2, 4 and 8

New
New
Year 3

# Explain the relationship between the multiples of 2, 4 and 8

I can explain the relationship between the multiples of 2, 4 and 8

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## Lesson details

### Key learning points

1. Multiples of 8 are multiples of 2 and of 4
2. If you double the multiples of 2 you get the multiples of 4
3. If you double the multiples of 4 you get the multiples of 8
4. If you double the multiples of 2 and double again you get the multiples of 8

### Common misconception

Lack of fluency in 2s, 4s, or 8s times tables can mean that pupils struggle to generalise rules of and relationships within multiples of 2, 4 and 8

Take time to practically model grouping a set of objects in different ways. For example, take 24 straws and clearly show how groups of 2, 4 and 8 can be made. Discuss the relationships focusing on doubling and halving.

### 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.

For this lesson a hands on experience using straws or other manipulatives finding different groups from 24 will support pupils understanding of the relationship between the multiples of 2, 4 and 8, which could be extended to other multiples of 8
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.
Match the number of multiples of 8 that are equivalent to the multiples of 4
Correct Answer:2 × 4 = _ × 8,1

1

Correct Answer:6 × 4 = _ × 8,3

3

Correct Answer:10 × 4 = _ x 8,5

5

Correct Answer:12 × 4 = _ × 8,6

6

Q2.
Match the answers to the equations. Remember that when one factor halves, the product also halves.
Correct Answer:10 × 8 = 80 so 10 × 4 =,40

40

Correct Answer:4 × 8 = 32 so 4 × 4 = ,16

16

Correct Answer:8 × 8 = 64 so 8 × 4 =,32

32

Correct Answer:3 × 8 = 24 so 3 × 4 =,12

12

Q3.
Match the multiples of 4 and multiples of 8 that give the same product.
Correct Answer:6 × 8,12 × 4

12 × 4

Correct Answer:8 × 3,6 × 4

6 × 4

Correct Answer:4 × 8,8 × 4

8 × 4

Correct Answer:5 × 8,4 × 10

4 × 10

Q4.
When solving word problems, which of these words mean 'multiply'?
split
equal parts
Q5.
If you read the words, 'halve' and 'split' in a word problem, you would need to .
subtract
multiply
double
Q6.
Look at the image. If each square was replaced by an octagon, how many sides would the shapes have in total? sides.

## Exit quiz

### 6 Questions

Q1.
True or false. Products in the 8 times table are also in the 4 and 2 times tables.
False
Q2.
Which of these numbers are multiples of 2 and 4 and 8?
20
28
Q3.
Look at this array. How many of each group does it show?

3

12

6

Q4.
Match the doubles and halves.

16

8

24

6

18

12

Q5.
Look at the bar model. What is the missing number from the top bar?
Correct Answer: 24, twenty four, Twenty four
Q6.
Use the array to match the factors for the product of 32.