# 3–6 – Multi-age – Year B – Unit 4

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:

• 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 group

### Stage 2

##### 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

### Stage 3

##### 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)