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)

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