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Year 3 - Maths

Calculate the value of parts and wholes using understanding of division

Calculate the value of a part (fractions as operators)

Unit Summary

In this unit pupils will quantify the number of items in each part and connect to the unit fraction operator. They will calculate the value of a part by connecting knowledge of division and division facts with finding a fraction of a quantity.

Lesson Summary

You will learn to calculate the value of a part and a whole using understanding of division and knowledge of division facts.

Key Notes

  • The whole can be a set of objects.
  • To calculate the value of a part, we need to divide the whole by the number of equal parts.
  • To calculate the the number of equal parts, we need to divide the whole by the value of each part.
  • To calculate the whole, we need to multiply the number of equal parts by the value of each part.
  • Drawing a bar model helps us to visualise the problem.

Vocabulary To Learn

  • Divide: When we divide, we split something into equal parts or groups. We use the ÷ symbol to mean divide.

Common Mistakes To Avoid

  • Children may struggle to make connections between division and the value of a part.

3 Quick Questions (With Answers)

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

The whole can be a set of objects. To calculate the value of a part, we need to divide the whole by the number of equal parts.

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

When we divide, we split something into equal parts or groups. We use the ÷ symbol to mean divide. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Children may struggle to make connections between division and the value of a part. Correction: Support children to understand and describe what they know from the information given, for example, the whole, the size of a part, or the number of parts. Also, what it is that they are trying to find. Encourage representation as a bar model.

More Lessons In This Unit

Browse all guides in the Year 3 Maths guide library.