3–6 multi-age, Year A – Unit 8

This 2-week, Year A unit develops the big idea that visual representations help us understand aspects of our world (chance and position).

Students are provided opportunities to:

  • use directional language to interpret and locate positions on a grid map while describing routes between points (Stage 2)
  • predict and describe possible outcomes from chance experiments (Stage 2)
  • compare different position systems, including Cartesian coordinates, to define precise points on a coordinate plane (Stage 3)
  • understand that probability can be represented numerically between zero to one (Stage 3)
  • present probability outcomes and create random generators (Stage 3)
  • use visualisation, language and multiple representations of position and chance concepts (Stage 2 and Stage 3).


Syllabus outcomes 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.

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 a complete whole on a number line

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

  • Position: Interpret movement on a map
  • Position: Locate positions on grid maps

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

  • Position: Create and interpret grid maps
  • Position: Use directional language and describe routes with grid maps

Chance A – MAO-WM-01, MA2-CHAN-01

Identify possible outcomes from chance experiments

Chance B – MAO-WM-01, MA2-CHAN-01

Describe the likelihood of outcomes of chance events

Represents quantity fractions A – MAO-WM-01, MA3-RQF-01

  • 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

Represents quantity fractions B – MAO-WM-01, MA3-RQF-01

  • Compare common fractions with related denominators
  • Build up to the whole from a given fractional part

Geometric measure A – MAO-WM-01, MA3-GM-01

Position: Explore the Cartesian coordinate system

Geometric measure B – MAO-WM-01, MA3-GM-01

Position: Use the 4 quadrants of the coordinate plane

Chance A – MAO-WM-01, MA3-CHAN-01

List outcomes of chance experiments involving equally likely outcomes and represent probabilities

Chance B – MAO-WM-01, MA3-CHAN-01

  • Compare observed frequencies of outcomes with expected results
  • Create random generators and describe probabilities using fractions
  • Conduct chance experiments with both small and large numbers of trials


  • Mathematics (2022)
  • Stage 2
  • Stage 3
  • Unit

Business Unit:

  • Curriculum and Reform
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