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Year 4 - Maths

Explain how a mixed number is composed

Composition of fractions greater than one

Unit Summary

In this unit pupils will compose and decompose quantities made of whole numbers and fractional parts.

Lesson Summary

You will learn to explain how a mixed number is composed.

Key Notes

  • Mixed numbers are composed of a whole number part and a fractional part.
  • The composition of mixed numbers can be written as an addition equation, adding the whole part and the fractional part.
  • Mixed numbers can be represented on a part-part-whole model.
  • The part-part-whole model can be used to form addition and subtraction equations.

Vocabulary To Learn

  • Mixed number: A mixed number is a whole number and a fraction combined. For example, one and a half is a mixed number.
  • Composition: The composition of a whole number is the way in which the whole number is made up. For example, ten is composed of seven and three.

Common Mistakes To Avoid

  • Children may be confused about how to write mixed numbers. Children may say 'five and one-eight, rather than five and one-eighth.

3 Quick Questions (With Answers)

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

Mixed numbers are composed of a whole number part and a fractional part. The composition of mixed numbers can be written as an addition equation, adding the whole part and the fractional part.

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

A mixed number is a whole number and a fraction combined. For example, one and a half is a mixed number. 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 be confused about how to write mixed numbers. Children may say 'five and one-eight, rather than five and one-eighth. Correction: As a school, establish how mixed numbers will be recorded so that you have consistency. Ensure children are accurately expressing the fraction part.

More Lessons In This Unit

Browse all guides in the Year 4 Maths guide library.