# Mathematics 7–10 units and assessments

Sample units and assessments to support teachers of Years 7–10 implementing the mathematics K-10 syllabus.

## Syllabus

The Mathematics K-10 syllabus (2023) is to be taught in Years 3 to 10 from 2024.

Detailed implementation information including key features and resources is available on the Mathematics syllabus development page (NESA).

The mathematics Year 7-10 units and assessments represent 'one way' of designing teaching and learning experiences

## Stage 4

### Unit 1 – Making predictions

A 12-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Fractions, decimals and percentages and Probability. The lessons and sequences in this program of learning are designed to allow students to explore the likelihood of chance events occurring, develop skills with fractions to describe and represent probabilities and make predictions about future events.

### Introduction

Making predictions (DOCX 162 KB)

### Lesson 1 – Alphabet soup

Alphabet soup (DOCX 485KB)

### Lesson 2 – Would you rather?

Would you rather? (DOCX 149 KB)

### Lesson 4 – Sense of order

Sense of order (DOCX 564 KB)

### Lesson 10 – What's the chance?

What's the chance? (DOCX 841 KB)

### Lesson 12 – Alphabet soup the sequel

Alphabet soup the sequel (DOCX 859 KB)

### Unit 2 – Making decisions

A 12-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Data analysis and Data classification and visualisation. The lessons and sequences in this program of learning are designed to allow students to explore how we use data to assist in making decisions. Students will explore different ways of representing data which allow us to make decisions by analysing and interpreting the data.

### Introduction

Making decisions (DOCX 135 KB)

### Lesson 2 – What is normal?

What is normal? (DOCX 613 KB)

### Lesson 3 – The 3 M’s

The 3 M’s (DOCX 110 KB)

### Lesson 6 – Proportion graphs

Sector graphs (DOCX 88 KB)

### Lesson 10 – You should eat more chocolate

You should eat more chocolate (DOCX 89 KB)

## Stage 5

### Unit 1 – Geometric representations

An 11-lesson unit for Year 9 with resources.

The lessons and sequences in this program of learning are designed to allow students to understand and use geometrical representations, applying concepts including proportion, scale factors, similarity and connections (networks) to represent real-life objects, spaces, situations and concepts.

### Introduction

Geometrical representations (DOCX 155 KB)

### Lesson 11 – Scale factor and area

Scale factor and area (DOCX 165 KB)

### Unit 2 – Working with triangles

A 16-lesson unit for Year 9 with resources.

This program of learning addresses content from the focus areas Trigonometry A, Linear relationships A, Numbers of any magnitude, as well as Path focus areas Linear relationships C, and Indices C. The lessons and sequences in this program of learning are designed to allow students to use the properties of right-angled triangles to solve a range of geometrical, measurement and real-world problems.

### Introduction

Working with triangles (DOCX 162 KB)

### Lesson 5 – I lost my calculator

I lost my calculator (DOCX 102 KB)

### Lesson 8 – Mapping the classroom

Mapping the classroom (DOCX 7.1 MB)

### Lesson 9 – Surd is the word

Surd is the word (DOCX 125 KB)

### Lesson 10 – Distances

Distances (DOCX 647 MB)

### Lesson 11 – Midpoints

Midpoints (DOCX 510 KB)

### Lesson 12 – Trigonometry for navigation

Trigonometry for navigation (DOCX 1.2 MB)

### Lesson 15 – Slopes as gradients

Slopes as gradients (DOCX 1.9 MB)

### Lesson 16 – Gradients in the Cartesian plane

Gradients in the Cartesian plane (DOCX 298 KB)