# 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

### Assessment 1

This investigation style assessment is designed to assess the outcomes from Unit 1 – making predictions of the Department of Education’s sample stage 4 year 7 scope and sequence.

### Assessment 2

This summative assessment package is designed to assess the outcomes from Unit 3 – representing number of the Department of Education’s sample stage 4 year 7 scope and sequence.

### 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 485 KB)

### 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 decsions. Students will explore different ways of representing data which allow us make decision 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)

### Unit 3 – representing numbers

A 13-lesson unit for Year 7 with resources

This program of learning addresses content from the focus areas of Computation with integers, fractions, decimals and percentages and Linear relationships. The lessons and sequences in this program of learning are designed to allow students to explore quantity of numbers and the different ways of representing this quantity. They consider the equivalence between different representations of numbers and the structural elements of numbers that form quantity.

### Introduction

Representing numbers (DOCX 166.1 KB)

### Lesson 1 – highest common factor of integers

Highest common factor of integers (DOCX 456.9 KB)

### Lesson 2 – less than 0

Less than 0 (DOCX 1.4 MB)

### Lesson 3 – direction and magnitude

Direction and magnitude (DOCX 3.1 MB)

### Lesson 4 – zero pairs

Zero pairs (DOCX 330.2 KB)

### Lesson 5 – listen to the music

Listen to the music (DOCX 531.3 KB)

### Lesson 8 – the nasty game

The nasty game (DOCX 365.5 KB)

### Unit 4 – additive thinking

A 12-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Computation with integers, Fractions, decimals and percentages, and Algebraic techniques. The lessons and sequences in this program of learning are designed to allow students to explore addition and subtraction of integers, fractions, and algebraic terms. A variety of visual representations are developed as tools that students can rely on within this unit and beyond.

### Lesson 1 – banking troubles

Banking troubles (DOCX 395 KB)

### Lesson 6 – why fractions with different denominators don’t align

Why fractions with different denominators don’t align (DOCX 106 KB)

### Unit 5 – multiplicative thinking

A 19-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Computation with integers, Fractions, decimals and percentages, Algebraic techniques and Indices. The lessons and sequences in this program of learning are designed to allow students to explore the multiplication and division of integers, fractions, and algebraic terms. A variety of visual representations are developed as tools students can rely on within this unit and beyond.

### Introduction

Multiplicative thinking (DOCX 169 KB)

## Stage 5

### Assessment 1

This investigation style assessment is designed to assess the outcomes from Unit 1 – Geometrical Representations of the Department of Education’s sample stage 5 year 9 scope and sequence.

Stage 5 – How accessible is your school? (DOCX 428.2 KB)

### Assessment 2

This summative assessment package is designed to assess the outcomes from Unit 2 – Working with triangles and Unit 3 – prisms and cylinders of the Department of Education’s sample stage 5 year 9 scope and sequence.

### 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)

### Unit 3 – prisms and cylinders

An 18-lesson unit for Year 9 with resources

This program of learning addresses content from the focus areas of Area and surface area A, Volume A, Algebraic techniques A, Equations A, Numbers of any magnitude, as well as Path focus areas Area and surface area B, Volume B and Equations C. The lessons and sequences in this program of learning are designed to allow students to tie together the big ideas across algebra, number and geometry and measurement and will build on student knowledge and understanding of area to develop and apply formulas for the surface area of prisms and cylinders.

### Introduction

Prisms and cylinders (DOCX 167 KB)

### Lesson 2 – leftover challenge

Leftover challenge (DOCX 186 KB)

### Lesson 7 – under pressure

Under pressure (DOCX 324 KB)

### Lesson 8 – how do animals keep cools

How do animals keep cools (DOCX 2.4 MB)

### Lesson 11 – the secrets of pyramids

The secrets of pyramids (DOCX 1.1 MB)

### Lesson 14 – concrete dreams

Concrete dreams (DOCX 310 KB)

### Lesson 15 – perfect packaging

Perfect packaging (DOCX 294 KB)

### Lesson 16 – tank it to the limit

Tank it to the limit (DOCX 1.2 MB)

### Lesson 17 – icing on the cake

Icing on the cake (DOCX 96 KB)

### Lesson 18 – to the beat of your own drum

To the beat of your own drum (DOCX 94 KB)

### Unit 4 – index laws

A 9-lesson unit for Year 9 with resources

This program of learning addresses content from the Core focus areas of Indices A and Numbers of any magnitude as well as Path focus areas of Indices B and Indices C. The lessons and sequences in this program of learning are designed to allow students to explore the index laws and apply them both numerically and algebraically.

### Introduction

Index laws (DOCX 152 KB)

### Lesson 3 – how many trips to the moon?

How many trips to the moon? (DOCX 124 KB)

### Lesson 4 – growing with power

Growing with power (DOCX 194 KB)

### Lesson 6 – reflecting on practice

Reflecting on practice (DOCX 874 KB)

### Unit 5 – financial mathematics

An 11-lesson unit for Year 9 with resources

This program of learning addresses content from the focus areas of Financial mathematics A and Equations A. The lessons and sequences in this program of learning are designed to allow students to explore number and algebra skills and build students’ knowledge and understanding of earning and spending money by relating the concepts to a real world context.

### Introduction

Financial mathematics (DOCX 148 KB)

### Lesson 2 – what should I do when I am older

What should I do when I am older (DOCX 102 KB)

### Lesson 5 – I need more money

I need more money (DOCX 516 KB)

### Lesson 7 – is that fair?

Is that fair (DOCX 94 KB)

### Lesson 11 – now or later

Now or later (DOCX 87 KB)

Category:

• Teaching and learning