Stage 3 – Year B – Unit 24

This unit develops the big idea that fractions represent multiple ideas and can be represented in different ways.

Mathematics K–10 Syllabus © 2023 NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales.

Students are provided with opportunities to:

  • understand how a fraction can represent a division
  • represent and compare fractions of measures and quantities, building up to the whole from a given fraction
  • solve problems involving addition and subtraction of fractions with related denominators.

Syllabus focus and content group

Additive relations A – MAO-WM-01, MA3-AR-01

Apply efficient mental and written strategies to solve addition and subtraction problems

Representing quantity fractions A – MAO-WM-01, MA3-RQF-01, MA3-RQF-02

  • Recognise the role of the number 1 as representing the whole
  • Compare and order common unit fractions
  • Solve problems involving addition and subtraction of fractions with the same denominator

Representing quantity fractions B – MAO-WM-01, MA3-RQF-01, MA3-RQF-02

  • Recognise that a fraction can represent a division
  • Compare common fractions with related denominators
  • Build up to the whole from a given fractional part
  • Use equivalence to add and subtract fractional quantities
  • Find fractional quantities of whole numbers (halves, quarters, fifths and tenths)


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