# Multi-age 3–6, mathematics, Year B – Unit 08

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

## Syllabus

Syllabus outcomes from 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.

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)
- use visualisation, language and multiple representations of position and chance concepts (Stage 2)
- plot and translate shapes on a Cartesian plane (Stage 3)
- explore and experiment with frequency and sample size containing equal and unequal chance (Stage 3)
- present probability outcomes and create random generators (Stage 3).

## Syllabus focus and content groups

**Partitioned fractions – MAO-WM-01, MA2-PF-01**

- Create fractional parts of a length using techniques other than repeated halving
- Model equivalent fraction as lengths

**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

**Two-dimensional spatial structure A – MAO-WM-01, MA2-2DS-02**

2D shapes: Transform shapes by reflecting, translating and rotating

**Data A – MAO-WM-01, MA2-DATA-01, MA2-DATA-02**

- Collect discrete data
- Organise and display data using tables and graphs
- Interpret and compare data

**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
- Identify when events are affected by previous events

**Representing quantity fractions B – MAO-WM-01, MA3-RQF-01**

Compare common fractions with related denominator

**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

**Two-dimensional spatial structure B – MAO-WM-01, MA3-2DS-01**

2D shapes: Dissect two-dimensional shapes and rearrange them using translations, reflections and rotations

**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**

Conduct chance experiments with both small and large numbers of trials