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Year 4 - Maths

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

Relationship between the 3 and 9 times tables

Unit Summary

In this unit pupils will explain the relationship between multiples of 3 and multiples of 9 and use it, along with the tests of divisibility for the 3-, 6- and 9-times tables, to solve problems.

Lesson Summary

You will learn to explain the relationship between pairs of 3 and 9 times table facts that have the same product.

Key Notes

  • 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

Vocabulary To Learn

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

Common Mistakes To Avoid

  • 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.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

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.

2. Use this key word in a maths sentence and explain it clearly. 'Multiple'

A multiple is the result of multiplying a number by another whole number. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: 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. Correction: 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.

More Lessons In This Unit

Browse all guides in the Year 4 Maths guide library.