New
New
Year 4

# Use knowledge of the relationships between the 3 and 6 times tables to solve problems

I can use knowledge of the relationships between the 3 and 6 times tables to solve problems.

New
New
Year 4

# Use knowledge of the relationships between the 3 and 6 times tables to solve problems

I can use knowledge of the relationships between the 3 and 6 times tables to solve problems.

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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

Pupils may find it difficult to solve problems or misunderstand questions.

Model clearly how to identify key phrases and words which will identify the operation and equation required for word problems. This could involve drawing bar models or other representations.

### Keywords

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

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

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

By this point fluency in 3 and 6 times tables will support children in solving these problems. Continue to chorally rehearse the 3 and 6 times tables.
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 numbers are multiples of 3?
4
8
Q2.
Multiples of 3 are __________ the multiples of 6
double
Q3.
Match the groups of 3 to the groups of 6
Correct Answer:2 groups of 3,1 group of 6

1 group of 6

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

3 groups of 6

Correct Answer:4 groups 3,3 groups of 4

3 groups of 4

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

4 groups of 6

Correct Answer:12 groups of 3,6 groups of 6

6 groups of 6

Q4.
Match the expressions to the correct product.

18

42

54

48

Q5.
Match the calculation to the answer.

6

18

12

7

Q6.
Match the start and end of the sentences to make them correct.
Correct Answer:If there are 5 triangles ,there are 15 vertices

there are 15 vertices

Correct Answer:If there are 7 stars ,there are 42 vertices

there are 42 vertices

Correct Answer:If there are 4 triangles ,there are 12 vertices

there are 12 vertices

Correct Answer:If there are 9 stars,there are 54 vertices

there are 54 vertices

## Exit quiz

### 6 Questions

Q1.
Look at this array. It shows 6 groups of 3 and it also shows groups of 6
3
Q2.
Select the keyword which will make the statement correct. In a multiplication equation, when one factor doubles the product __________.
halves
triples
Q3.
Select the correct product: if 3 × 6 = 18 then 3 × 3 = .
Q4.
If 3 × 7 = 21, what is 6 × 7 =
Q5.
Find the missing number.
Q6.
Match the equation to the correct missing factor.
Correct Answer:4 × 3 = ___ × 6,2

2

Correct Answer:6 × 3 = ___ × 6,3

3

Correct Answer:8 × 3 = ___ × 6,4

4

Correct Answer:10 × 3 = ___ × 6,5

5