Year 9, Unit 4 – index laws

This 9-lesson unit is designed to allow students to explore the index laws and apply them both numerically and algebraically.

It 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 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).

Index laws

A 9-lesson unit with resources.

Introduction

Index laws (DOCX 152 KB)

Lesson 1 – invaluable indices

Lesson 2 – mathematical shorthand

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 5 – let's power down

Lesson 6 – reflecting on practice

Reflecting on practice (DOCX 874 KB)

Lesson 7 – mathematical shorthand continued

Lesson 8 – half-life

Lesson 9 – that's ab-surd!

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 3 – prisms and cylinders

Stage 5 – An 18-lesson mathematics unit designed to allow students to tie together the big ideas across algebra, number and geometry and measurement and apply formulas to find the surface area of prisms and cylinders.

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.