New
New
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.
Lesson 2 of 5
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.
Lesson details
Key learning points
- In a multiple of nine, there are three times as many threes as nines.
- 1 group of 9 is equal to 3 groups of 3
Keywords
Multiple - A multiple is the result of multiplying a number by another whole number.
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.
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 (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Prior knowledge starter quiz
6 Questions
Q1.Select the correct expression for this image.
Select the correct expression for this image.

3 × 2
Q2.Fill in the gap. Multiples of 9 are all multiples of
Fill in the gap. Multiples of 9 are all multiples of
Q3.Which numbers are both multiples of 3 and 9?
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
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?
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
6 packs of 9 and 4 packs of 3
Q6.Desserts come in packets of 9 How many packets are needed for 99 desserts?
Desserts come in packets of 9 How many packets are needed for 99 desserts?
10
12
Assessment exit quiz
6 Questions
Q1.Match the expressions to the product.
Match the expressions to the product.
Q2.What does the image show?
What does the image show?

2 groups of 9 and 2 groups of 3
6 groups of 9 and 6 groups of 3
Q3.Use the image to complete the equation. 2 × 9 = × 3
Use the image to complete the equation. 2 × 9 = × 3

Q4.If I know 3 × 9 = 27, then I know 9 × 3 =
If I know 3 × 9 = 27, then I know 9 × 3 =
Q5.Match the groups of threes to the groups of 9 with the same value.
Match the groups of threes to the groups of 9 with the same value.
Q6.Izzy has 10 bags of 9 apples. Andeep has bags of 3 apples. They have the same number of apples. How many bags of apples does Andeep have? bags
Izzy has 10 bags of 9 apples. Andeep has bags of 3 apples. They have the same number of apples. How many bags of apples does Andeep have? bags