Year 9, Unit 6 – constant rates of change

This Year 9, 14-lesson unit designed to allow students to explore the representations of linear relationships and how they are used to model situations and solve problems.

It addresses content from the focus areas of Linear relationships A, Linear relationships B and Equations A, as well as Path focus areas Varation and rates of change A, Equations C and Linear Relationships C.

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).

Constant rates of change

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

Syllabus outcomes and content descriptors from Mathematics K–10 Syllabus © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2023.

Mathematics 7–10 units and assessments

Stage 4 and 5 – Mathematics units and assessment in line with the syllabus to be taught from 2024.

Year 9, Unit 5 – financial mathematics

Stage 5 – An 11-lesson mathematics unit with resources 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.