# Stage 3 – 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:

• compare different position systems, including Cartesian coordinates, to define precise points on a coordinate plane
• understand that probability can be represented numerically between zero to one
• present probability outcomes and create random generators.

## 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.

### Syllabus 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

Category:

• Mathematics
• Stage 3
• Unit