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Composition of non-unit fractions: addition and subtraction

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Why this why now

This unit continues to look at non-unit fractions and introduces the use of repeated addition to represent the composition of non-unit fractions. Pupils develop their understanding of the role of the numerator and denominator to compare non-unit fractions with the same denominator and to add and subtract fractions with the same denominator. They develop the language of unitizing to build understanding that non-unit fractions are a number of unit fractions. This will prepare pupils for more formal calculation with fractions in the future.

Prior knowledge requirements

  • Recognise and name non-unit fractions
  • Understand adding and subtracting like denominators
  • Use fraction walls or number lines to model calculations

Threads

Why this why now

This unit continues to look at non-unit fractions and introduces the use of repeated addition to represent the composition of non-unit fractions. Pupils develop their understanding of the role of the numerator and denominator to compare non-unit fractions with the same denominator and to add and subtract fractions with the same denominator. They develop the language of unitizing to build understanding that non-unit fractions are a number of unit fractions. This will prepare pupils for more formal calculation with fractions in the future.

Prior knowledge requirements

  • Recognise and name non-unit fractions
  • Understand adding and subtracting like denominators
  • Use fraction walls or number lines to model calculations

Composition of non-unit fractions: addition and subtraction

In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator.