# Multi-age 3–6, mathematics, Year B – Unit 04

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

## 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.

Students are provided with opportunities to:

- partition, measure, label and compare lengths and wholes using fractions
- solve problems with fractions
- represent and compare fractions of measures and quantities
- understand how a fraction can represent a division (Stage 3).

## Syllabus focus and content groups

**Represents numbers using place value B – MAO-WM-01, MA2-RN-02**

Decimals: Make connections between fractions and decimal notation

**Multiplicative relations A – MAO-WM-01, MA2-MR-01**

- Generate and describe patterns
- Recall multiplication facts of 2 and 4, 5 and 10 and related division facts

**Partitioned fractions A – MAO-WM-01, MA2-PF-01**

- Create fractional parts of a length using techniques other than repeated halving
- Model and represent unit fractions, and their multiples, to complete a whole on a number line

**Partitioned fractions B – MAO-WM-01, MA2-PF-01**

- Model equivalent fractions as lengths
- Represent fractional quantities equal to and greater than one

**Geometric measure A – MAO-WM-01, MA2-GM-02**

Length: Measure and compare objects using metres, centimetres and millimetres

**Geometric measure B – MAO-WM-01, MA2-GM-02**

Length: Use scaled instruments to measure and compare lengths

**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)