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Mathematics K–12

Mathematics 7–10 units and assessments

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

These units are currently under review, and the updated version will be uploaded once the review is complete.

Syllabus

Syllabus outcomes and content descriptors from © NSW ÌÇÐÄvlog¹ÙÍø Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2025.

Supporting strategies

These strategies are used through the Stage 4 and Stage 5 lessons.

Stage 4

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

Assessments have been revised and are available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

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 1 – negative groups of negatives

Lesson 2 – sharing, grouping and negating

Lesson 3 – area models and divisibility tests

Lesson 4 – the ants go marching

Lesson 5 – a big problem with small numbers

Lesson 6 – the magical factor trees

Lesson 7 – that's about right

Lesson 8 – a quick guess

Lesson 9 – cooking for one

Lesson 10 – a shopping plan

Lesson 11 – when it's fair to compare the pair

Lesson 12 – a fair share

Lesson 13 – the order of things

Lesson 14 – four fours

Lesson 15 – groups of mysteries

Lesson 16 – dividing into the unknown

Lesson 17 – which number goes here? – (multiplying and dividing)

Lesson 18 – inverse journeys – multiplying

Lesson 19 – make it clear

Make it clear (DOCX 131 KB)

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 1 – strike a pose

Lesson 2 – is that a triangle?

Lesson 3 – I see triangles

Lesson 4 – throwing light on the exteriors

Lesson 5 – unravelling tessellations

Lesson 6 – sides and angles united

Lesson 7 – diamonds of geometry

Lesson 8 – two of a kind

Two of a kind (DOCX 5.9 MB)

Lesson 9 – tackling trapeziums

Lesson 10 – let's go fly a kite

Lesson 11 – quadrilateral quest

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

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

Assessments have been revised and are available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This program of learning addresses content from the focus area of ratios and rates. The lessons and sequences in this program of learning are designed to allow students to explore recognising, simplifying, and solving problems that involve ratios and rates, as well as interpreting and constructing distance–time graphs.

Introduction

Ratio and rates – unit (DOCX 338 KB)

Lesson 1 – ratio

Lesson 2 – simplifying ratios

Lesson 3 – dividing into a ratio

Lesson 4 – bears and balloons

Lesson 5 – rule of 9s

Lesson 6 – ratios versus rates

Lesson 7 – best buys

Lesson 8 – distance–time graphs

Lesson 9 – converting rates

This program of learning addresses content from the focus area of analysing patterns. The lessons and sequences in this program of learning are designed to allow students to explore plotting and identifying points on the Cartesian plane, graphing linear relationships on the Cartesian plane and solving linear equations using graphical techniques.

Introduction

Analysing patterns – unit (DOCX 337 KB)

Lesson 1 – plotting points

Lesson 2 – describing geometrical patterns

Lesson 3 – describing linear relationships

Lesson 4 – linear equations

Lesson 5 – solving equations

Lesson 6 – comparing straight-line graphs

Lesson 7 – point of intersection

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

Stage 5

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

Assessments have been revised and are available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

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 1 – how much will I earn

Lesson 2 – what should I do when I am older

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

Lesson 3 – how much will it cost

Lesson 4 – what more pay!

Lesson 5 – I need more money

I need more money (DOCX 516 KB)

Lesson 6 – percentage of my earnings

Lesson 7 – is that fair?

Is that fair (DOCX 94 KB)

Lesson 8 – the secrets to keeping more money

Lesson 9 – how can I get my money back

Lesson 10 – watch money grow

Lesson 11 – now or later

Now or later (DOCX 87 KB)

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 2 – money matters

Lesson 3 – slope-a-palooza

Slope-a-palooza (DOCX 7.6 MB)

Lesson 4 – how efficient is my car?

Lesson 5 – holiday money

Lesson 6 – yubercept

Lesson 7 – what’s the line?

Lesson 8 – line it up

Lesson 9 – cutting through lines

Lesson 10 – graphing general mayhem

Lesson 11 – it’s getting hot in here

Lesson 12 – tortoise and the hare

Tortoise and the hare (DOCX 7.8 MB)

Lesson 13 – simultaneous shopping

Lesson 14 – sums and differences

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

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

Assessments have been revised and are available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

This program of learning addresses content from the focus areas of Data Analysis B, Data Analysis C and Linear Relationships B. The lessons and sequences in this program of learning are designed to allow students to explore bivariate data and correlation.

Introduction

Bivariate relationships – unit (DOCX 344 KB)

Lesson 1 –introduction to scatter plots

Lesson 2 – flame vs time

Lesson 3 – lines of best fit

Lesson 4 – causation

Lesson 5 – doll bungee

Doll bungee (DOCX 4.5 MB)

Lesson 6 – where are the bees?

Lesson 7 – mobile phone battery

Mobile phone battery (DOCX 335 KB)

Lesson 8 – methods of sampling

Methods of sampling (DOCX 1.7 MB)

This unit has been revised and is available in the Lesson Library.

This unit has been revised and is available in the Lesson Library.

Category:

  • Teaching and learning

Business Unit:

  • Curriculum
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