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).
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
Lesson 3 – direction and magnitude
Direction and magnitude (DOCX 3.1 MB)
Lesson 4 – zero pairs
Lesson 5 – listen to the music
Listen to the music (DOCX 531.3 KB)
Lesson 6 – recipe for success
Lesson 7 – inventing units of measurment
Lesson 8 – the nasty game
The nasty game (DOCX 365.5 KB)
Lesson 9 – comparing using place value
Lesson 10 – approximate measurements
Lesson 11 – be rational
Lesson 12 – fractions and decimals and percentages – oh my!
- Fractions and decimals and percentages – oh my! (DOCX 234.5 KB)
- Fractions and decimals and percentages – oh my! (PPTX 2.7 MB)
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.