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Year 4 - Maths

Solve division problems involving sharing, including those with remainders

Division with remainders

Unit Summary

In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor.

Lesson Summary

You will learn to solve division problems involving sharing, sometimes with remainders.

Key Notes

  • Objects can be divided equally between groups, sometimes with a remainder.
  • When objects are divided equally between groups, it is called sharing.
  • Multiplication and addition equations or division equations can be used to represent sharing with a remainder.
  • Multiplication facts can be used to solve sharing problems.

Vocabulary To Learn

  • Sharing: Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part.
  • Division: Division is splitting into equal parts or groups.
  • Remainder: A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.

Common Mistakes To Avoid

  • When faced with a bar model showing for example 5 parts, children often want to write a 5 in each part as they misunderstand how the grouping in fives relates to a sharing context.

3 Quick Questions (With Answers)

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

Objects can be divided equally between groups, sometimes with a remainder. When objects are divided equally between groups, it is called sharing.

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

Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: When faced with a bar model showing for example 5 parts, children often want to write a 5 in each part as they misunderstand how the grouping in fives relates to a sharing context. Correction: Imagine arrays beneath the five parts of the bar model to secure understanding that the five parts represent five groups of ___ / the number of groups we are sharing between. Physically share a group of objects into these parts at any one time.

More Lessons In This Unit

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