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Year 4 - Maths

Use divisibility rules for multiples of 6

Relationship between the 3 and 6 times tables and tests of divisibility

Unit Summary

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

Lesson Summary

You will learn to use divisibility rules for multiples of 6.

Key Notes

  • For every one group of 6 there are two groups of 3
  • For a number to be divisible by 6, it must be divisible by both 2 and 3

Vocabulary To Learn

  • Digit sum: The sum of the digits of a number is called its digit sum.
  • Divisible / divisibility: Divisibility is when division of a number results in another whole number. A number is divisible by another if it can be shared exactly with no remainder.
  • Multiple: A multiple is the result of multiplying a number by another whole number.

Common Mistakes To Avoid

  • Lack of understanding of key terms such as: 'digit,' 'number.' Pupils may also forget how to identify an even number.

3 Quick Questions (With Answers)

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

For every one group of 6 there are two groups of 3. For a number to be divisible by 6, it must be divisible by both 2 and 3.

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

The sum of the digits of a number is called its digit sum. 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 understanding of key terms such as: 'digit,' 'number.' Pupils may also forget how to identify an even number. Correction: Remind children that even numbers end in 0, 2, 4, 6 or 8. Explain clearly the difference between the key terms and encourage children to test the divisibility rule on both 3 digit and 4 digit numbers.

More Lessons In This Unit

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