# Mathematics 7–10 units and assessments

Sample units and assessments to support teachers of Years 7–10 implementing the Mathematics K–10 Syllabus (2022).

## Syllabus

The Mathematics K–10 syllabus (2022) 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).

## Stage 4

These units and assessments for Year 7 represent 'one way' of designing teaching and learning experiences.

#### 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 (DOCX 283 KB).

#### 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 (DOCX 283 KB).

#### Assessment 3

This portfolio style of assessment is designed to assess the outcomes from Unit 3 – representing numbers, Unit 4 – additive strategies and Unit 5 – multiplicative strategies of the Department of Education's sample Stage 4 Year 7 scope and sequence (DOCX 283 KB).

Stage 4 – Portfolio (DOCX 6.2 MB)

### 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 decisions. Students will explore different ways of representing data and 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)

### 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 zero

Less than zero (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)

#### Lesson 19 – make it clear

Make it clear (DOCX 131 KB)

### Unit 6 – triangles and quadrilaterals

An 11-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Angle relationships and Properties of geometrical figures. The lessons and sequences in this program of learning are designed to allow students to explore triangles and quadrilaterals, developing the language, knowledge and understanding to be able to classify these 2-dimensional shapes according to their geometrical properties and apply this to meaningfully make connections across topics and concepts.

#### Introduction

Triangles and quadrilaterals (DOCX 4.2 MB)

#### Lesson 8 – two of a kind

Two of a kind (DOCX 5.9 MB)

### Unit 7 – length and area

This program of learning addresses content from the focus areas of fractions, decimals and percentages, algebraic techniques, equations, length and area.

The lessons and sequences in this program of learning are designed to allow students to explore the spatial properties of 2-dimensional figures, focusing specifically on length and area, as well as the usefulness of related numerical and algebraic tools.

#### Introduction

Length and area – unit of work (DOCX 364 KB)

#### Lesson 1 – getting around

Getting around (DOCX 522 KB)

#### Lesson 10 – escher llations

Escher llations (DOCX 567 KB)

#### Lesson 16 – it's a sign

These units and assessments for Year 8 represent 'one way' of designing teaching and learning experiences.

### Unit 9 – shape and skew

This program of learning addresses content from the focus areas of Data classification and visualisation and Data analysis. The lessons and sequences in this program of learning are designed to allow students to explore how to analyse frequency distribution graphs using measures of centre and spread, and shape and skew of a graph.

#### Introduction

Shape and skew – unit of work (DOCX 5.89 MB)

#### Lesson 11 – survival of the fittest

Survival of the fittest (DOCX 4.27 MB)

## Stage 5

These units and assessments for Year 9 represent 'one way' of designing teaching and learning experiences.

#### 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 (DOCX 258 KB).

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 (DOCX 258 KB).

#### Assessment 3

This presentation style assessment is designed to assess the outcomes from Unit 5 – financial mathematics and Unit 6 – constant rates of change of the Department of Education's sample stage year 9 scope and sequence (DOCX 258 KB).

Stage 5 – How can we provide for tomorrows healthcare? (DOCX 440.2 KB)

### 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 cool?

How do animals keep cool? (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)

### Unit 6 – constant rates of change

A 14-lesson unit for Year 9 with resources.

This program of learning addresses content from the focus areas of Linear relationships A, Linear relationships B and Equations A, as well as Path focus areas Variation and rates of change A, Equations C and Linear Relationships C. The lessons and sequences in this program of learning are designed to allow students to explore the representations of linear relationships and how they are used to model situations and solve problems.

#### Introduction

Constant rates of change (DOCX 6.3 MB)

#### Lesson 1 – journey to linearity

Journey to linearity (DOCX 7.7 MB)

#### Lesson 3 – slope-a-palooza

Slope-a-palooza (DOCX 7.6 MB)

#### Lesson 12 – tortoise and the hare

Tortoise and the hare (DOCX 7.8 MB)

### Unit 7 – making predictions

This program of learning addresses content from the focus area of Probability. The lessons and sequences in this program of learning are designed to allow students to explore multi-stage events and simulations to make predictions.

#### Introduction

Making predictions – unit of work (DOCX 348 KB)

### Unit 8 – making decisions

This program of learning addresses content from the core focus area of Data analysis A. The lessons and sequences in this program of learning are designed to allow students to explore standard deviation, the 5-number summary and box plots to help make informed decisions about the data.

#### Introduction

Making decisions – unit of work (DOCX 4.38 MB)

#### Lesson 1 – revisiting the mean

Revisiting the mean (DOCX 9.83 MB)

#### Lesson 9 – what is the data telling us

These units and assessments for Year 10 represent 'one way' of designing teaching and learning experiences.

### Year 10 – Maths in science elective

This program of learning addresses content from the Path focus areas of Variation and rates of change A, Variation and rates of change B, Non-linear relationships C, and Logarithms. The lessons and sequences in this program of learning are designed to allow students to explore applications of mathematics in science. Students will explore rates of change, non-linear relationships, and logarithms in real world contexts.

This Year 10 unit is designed to be an elective unit to extend students that have completed the Core content within Stage 5. All lessons incorporate Path content and assume students are confident with related Core content.

#### Introduction

Maths in science elective – unit of learning (DOCX 355 KB)

#### Lesson 1 – graphing stories

Graphing stories (DOCX 4.93 MB)

Graphing stories presentation (PPTX 1.3 MB)

#### Lesson 2 – graph-ity falls

Graph-ity falls (DOCX 5.14 MB)

Graph-ity falls presentation (PPTX 1.86 MB)

#### Lesson 3 – direct variation

Direct variation (DOCX 7.8 MB)

Direct variation presentation (PPTX 1.8 MB)

#### Lesson 4 – inverse variation

Inverse variation (DOCX 6.98 MB)

Inverse variation presentation (PPTX 2 MB)

#### Lesson 5 – para-solar

Para-solar (DOCX 7.84 MB)

Para-solar presentation (PPTX 2.61 MB)

#### Lesson 6 – in a galaxy far, far away

In a galaxy far, far away (DOCX 5.85 MB)

#### Lesson 7 – breeding like rabbits

Breeding like rabbits (DOCX 7.29 MB)

#### Lesson 8 – why vampires don’t exist

Why vampires don’t exist (DOCX 8.26 MB)

Why vampires don’t exist presentation (PPTX 1.51 MB)

#### Lesson 9 – where’s the pHun in that?

Where’s the pHun in that? (DOCX 7.3 MB)

Where’s the pHun in that? presentation (PPTX 1.48 MB)

#### Lesson 10 – logging those sounds

Logging those sounds (DOCX 6.73 MB)

Logging those sounds presentation (PPTX 2.53 MB)

#### Lesson 11 – one small step IS one giant leap

One small step IS one giant leap (DOCX 5.86 MB)

One small step IS one giant leap presentation (PPTX 3.22 MB)

Category:

• Teaching and learning