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.

Stage 4 – Game on (DOCX 428.2 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.

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.

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.

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.

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.

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 – a fair share

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.

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.

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.

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 1 – visualising nets

Lesson 2 – leftover challenge

Leftover challenge (DOCX 186 KB)

Lesson 3 – cube houses

Lesson 4 – beyond the surface

Beyond the surface (DOCX 327 KB)

Lesson 5 – A4 cylinders

Lesson 6 – margin for errors

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 9 – deep dive

Lesson 10 – exploring unknowns

Lesson 11 – the secrets of pyramids

The secrets of pyramids (DOCX 1.1 MB)

Lesson 12 – spheres the thing

Lesson 13 – cup or cone

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)

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.

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.

Category:

  • Teaching and learning

Business Unit:

  • Educational Standards
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