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Year 3 - Maths

Connect division with finding a fraction of a quantity to find parts and wholes

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 by connecting division knowledge with finding a fraction of a quantity.

Key Notes

  • The whole can be a set of objects.
  • Calculating the value of a part, is the same as dividing the whole by the number of equal parts.
  • The denominator tells us the number of equal parts in the whole.
  • Drawing a bar model supports us to visualise the problem.
  • Times table and division facts help us to find a fraction of a set of objects.

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 the connection between division and finding a fraction of a quantity.

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. Calculating the value of a part, is the same as dividing 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 the connection between division and finding a fraction of a quantity. Correction: Support children to see that the denominator of a unit fraction tells us how many equal parts the whole has been divided into and that that is the same as the divisor.

More Lessons In This Unit

Browse all guides in the Year 3 Maths guide library.