New
New
Year 3

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

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

New
New
Year 3

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

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

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## Lesson details

### Key learning points

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

### Common misconception

Pupils may generalise the rule and assume that when dividing by 4 is the last digit is even, then the number is divisible by 4

Show children the relationship between 2s and 4s using the multiplication chart. Make clear that identifying the last digit as even is the first step - the last 2 digits should be a multiple of 4. Encourage discussions to highlight the relationship.

### Keywords

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

• Doubling - Doubling is the act of becoming twice as many.

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

Continue to chorally rehearse 2s and 4s. Remind children that every integer is divisible by one.
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.
Which word describes numbers that are next to each other?
greater
groups
factors
Q2.
Which number on this number line is not a multiple of 4?
Q3.
Which multiples of 4 are adjacent to 28?
26
30
Q4.
A multiple of 4 is missing from the number line. How can we use the adjacent multiples in this example?
Count along the number line up to the missing number
Q5.
Izzy knows that 13 × 4 = 52. She used the known fact of 12 × 3 = 48 and 4.
subtracted
Q6.
Using your knowledge of groups, order the calculations starting with the smallest multiple.
1 - 4 × 4
2 - 5 × 4
3 - 4 × 8
4 - 10 × 4

## Exit quiz

### 6 Questions

Q1.
Which numbers are multiples of 2 and multiples of 4?
14
22
Q2.
Look at the image. Match the size of the group to the number of groups.

8

4

Q3.
Match the groups of 4 to the groups of 2.
Correct Answer:1 group of 4,2 groups of 2

2 groups of 2

Correct Answer:2 groups of 4,4 groups of 2

4 groups of 2

Correct Answer:3 groups of 4,6 groups of 2

6 groups of 2

Correct Answer:4 groups of 4,8 groups of 2

8 groups of 2

Correct Answer:5 groups of 4,10 groups of 2

10 groups of 2

Q4.
Which of the statements are true?
If a factor is doubled, the product is halved
All multiples of 2 are multiples of 4
Correct answer: All multiples of 4 are multiples of 2
Correct answer: If a factor is doubled, the product also doubles
Correct answer: If a factor is halved, the product also halves
Q5.
Multiples of 4 are the multiples of 2.
Q6.
Look at the array. Match the questions to the correct answers.
Correct Answer:How many groups of 4 are there?,6

6

Correct Answer:How many groups of 2 are there?,12

12