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
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)