New
New
Year 4

# Explain the relationship between pairs of 3 and 9 times table facts that have the same product

I can explain the relationship between pairs of 3 and 9 times table facts that have the same product.

New
New
Year 4

# Explain the relationship between pairs of 3 and 9 times table facts that have the same product

I can explain the relationship between pairs of 3 and 9 times table facts that have the same product.

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## Lesson details

### Key learning points

1. There are three times as many threes as nines.
2. We can say that triple three is equal to nine.
3. Triple means 'three times'.

### Common misconception

Lack of fluency in the 3s and 9s times tables can lead to pupils being slower to grasp the generalisation about the relationship between the 3 and 9 times tables.

Model using arrays and other representations. Pupils who may struggle to triple / find one third of a number may require more time to work through calculations. 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.

• Triple - To triple means to become three times as many or to multiply by three.

By this point fluency in 3 and 9 times tables will support children in solving these problems. Continue to chorally rehearse the 3 and 9 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.
Select the correct expression for this image.
3 × 2
Correct answer: 6 × 3
Correct answer: 2 × 9
Correct answer: 9 × 2
Q2.
Fill in the gap. Multiples of 9 are triple the multiples of .
Correct Answer: 3, three
Q3.
Which numbers are both multiples of 3 and 9?
6
12
33
Q4.
Look at the bar model and fill in the blanks. 3 × 9 = × 3
Q5.
If Andeep’s mum has a total of 54 desserts, how many packs of 9 is this? How many packs of 3 is this?
6 packs of 9 and 9 packs of 3
6 packs of 9 and 6 packs of 3
Correct answer: 6 packs of 9 and 18 packs of 3
6 packs of 9 and 4 packs of 3
Q6.
If Izzy’s mum has a total of 99 desserts, how many packs of 9 is this? How many packs of 3 is this?
10 packs of 9 and 33 packs of 3
Correct answer: 11 packs of 9 and 33 packs of 3
33 packs of 9 and 11 packs of 3
3 packs of 9 and 11 packs of 3

## Exit quiz

### 6 Questions

Q1.
Which calculation does the image represent?
1 × 9
2 × 3
Correct answer: 3 × 3
4 × 3
Q2.
Triple means …
one times as many.
twice as many.
Correct answer: three times as many.
four times as many.
Q3.
Match the expressions to the product.
Correct Answer:3 × 3,9

9

Correct Answer:3 × 6,18

18

Correct Answer:3 × 9,27

27

Correct Answer:3 × 10,30

30

Correct Answer:3 × 12,36

36

Q4.
If I know 3 × 9 = 27, then I know 9 × 9 =
Q5.
Match the groups of threes to the groups of 9 with the same value.
Correct Answer:3 × 3 ,1 × 9

1 × 9

Correct Answer:3 × 6,2 × 9

2 × 9

Correct Answer:3 × 9,9 × 3

9 × 3

Correct Answer:3 × 12,4 × 9

4 × 9

Correct Answer:3 × 15,5 × 9

5 × 9

Q6.
If Izzy has 15 sweets and Andeep has triple the amount, how many sweets does he have altogether? sweets