# 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

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.

### Stage 2 – outcomes and content groups

#### 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

### Stage 3 – outcomes and content groups

#### 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

## Resource

Category:

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