# Stage 3, mathematics, Year B – Unit 24

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

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 groups

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)

## Syllabus

Syllabus outcomes from Mathematics K–10 Syllabus (2022) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2024.

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