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

Starter quiz

Select the correct expression for this image.
- 3 × 2
- 6 × 3 ✓
- 2 × 9 ✓
- 9 × 2 ✓
Fill in the gap. Multiples of 9 are triple the multiples of ______.
- '3' ✓
Which numbers are both multiples of 3 and 9?
- 6
- 12
- 18 ✓
- 33
- 36 ✓
Look at the bar model and fill in the blanks. 3 × 9 = ______ × 3
- '9' ✓
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 18 packs of 3 ✓
- 6 packs of 9 and 4 packs of 3
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
- 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

Match the expressions to the product.
- 3 × 3
  
  ⇔
  
  9 ✓
- 3 × 6
  
  ⇔
  
  18 ✓
- 3 × 9
  
  ⇔
  
  27 ✓
- 3 × 10
  
  ⇔
  
  30 ✓
- 3 × 12
  
  ⇔
  
  36 ✓
Which calculation does the image represent?
- 1 × 9
- 2 × 3
- 3 × 3 ✓
- 4 × 3
Triple means …
- one times as many.
- twice as many.
- three times as many. ✓
- four times as many.
If I know 3 × 9 = 27, then I know 9 × 9 = ______
- '81' ✓
Match the groups of threes to the groups of 9 with the same value.
- 3 × 3
  
  ⇔
  
  1 × 9 ✓
- 3 × 6
  
  ⇔
  
  2 × 9 ✓
- 3 × 9
  
  ⇔
  
  9 × 3 ✓
- 3 × 12
  
  ⇔
  
  4 × 9 ✓
- 3 × 15
  
  ⇔
  
  5 × 9 ✓
If Izzy has 15 sweets and Andeep has triple the amount, how many sweets does he have altogether? ______ sweets
- '45' ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

There are three times as many threes as nines.
We can say that triple three is equal to nine.
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.