New
New
Year 4

# Explain the relationship between multiples of three and six

I can explain the relationship between multiples of three and six.

New
New
Year 4

# Explain the relationship between multiples of three and six

I can explain the relationship between multiples of three and six.

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## Slide deck

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## Lesson details

### Key learning points

1. All multiples of 6 are multiples of 3
2. Not all multiples of 3 are multiples of 6
3. Multiples of 6 are double the multiples of 3
4. Multiples of 3 are half the multiples of 6

### Common misconception

Lack of fluency in the 3s and 6s times tables can lead to pupils being slower to grasp the generalisation about the relationship between the 3 and 6 times tables.

Use arrays and other representations to draw clear comparisons. Multiplication grids could also be provided while pupils become more fluent in recall.

### Keywords

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

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

• Halve / halving - Halving means to divide into two equal parts.

Children to chorally rehearse their 3s and 6s 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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## Worksheet

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## Starter quiz

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### 6 Questions

Q1.
Which word or phrase describes multiples of numbers that are next to each other when skip counting?
Greater
Product
Correct answer: Adjacent
Factors
Q2.
Which number on this number line is not a multiple of 3?
Correct Answer: 22
Q3.
Which multiples of 3 are adjacent to 27?
21 and 25
23 and 28
Correct answer: 24 and 30
26 and 28
Q4.
A multiple of 3 is missing from this list: 15, 18, 21, , 27, 30 How can we use the adjacent multiples in this example?
Correct answer: 21 + 3
Correct answer: 27 − 3
Count along the number line up to the missing number
Say the number that is one more than 21
Q5.
Using your knowledge of groups, order the calculations starting with the smallest product.
1 - 3 × 4
2 - 5 × 3
3 - 7 × 3
4 - 3 × 9
5 - 10 × 3
Q6.
Izzy knows that 13 × 3 = 39 She used the known fact of 12 × 3 = 36 and _________ 3
Correct answer: added
subtracted

## Exit quiz

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### 6 Questions

Q1.
Look at the image. Match the size of the group to the number of groups.
Correct Answer:Groups of 3,6

6

Correct Answer:Groups of 6,3

3

Q2.
Which numbers are both multiples of 3 and multiples of 6?
3
Correct answer: 6
15
Correct answer: 18
27
Q3.
Multiples of 6 are the multiples of 3
Correct Answer: double, twice
Q4.
Match the groups of 6 to the groups of 3
Correct Answer:2 groups of 3,1 group of 6

1 group of 6

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

2 groups of 6

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

3 groups of 6

Correct Answer:8 groups of 3,6 groups of 4

6 groups of 4

Q5.
Look at the array. Match the questions to the correct answers.
Correct Answer:How many groups of 3 are there?,6

6

Correct Answer:How many groups of 6 are there?,3

3

Correct Answer:6 × 3 =,18

18

Correct Answer:3 × 6 = ,18

18

Q6.
Which of the statements are true?
If a factor is doubled, the product is halved
Correct answer: All multiples of 6 are multiples of 3
All multiples of 3 are multiples of 6
Correct answer: If a factor is doubled, the product also doubles
Correct answer: If a factor is halved, the product also halves