# Year 7, Unit 3 – representing numbers

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. Content addressed includes focus areas of Computation with integers, Fractions, decimals and percentages and Linear relationships.

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).

### Representing numbers

A 13-lesson unit for Year 7 with resources.

#### 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 0 (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)

#### Lesson 13 – describing locations

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.