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Year 4 - Maths

Explain the relationship between multiples of three and multiples of nine

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 multiples of three and multiples of nine.

Key Notes

  • Numbers in the 9 times table are also in the 3 times table.
  • When there are 3 groups of 3, there is 1 group of 9
  • Multiples of 9 are all multiples of 3 but not all multiples of 3 are multiples of 9

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.

Numbers in the 9 times table are also in the 3 times table. When there are 3 groups of 3, there is 1 group of 9.

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: Use arrays and other representations to draw clear comparisons. Multiplication grids could also be provided while pupils become more fluent in recall.

More Lessons In This Unit

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