Year 7, Unit 5 – multiplicative thinking
This 19-lesson unit is 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.
Content addressed includes focus areas of Computation with integers, Fractions, decimals and percentages and Algebraic techniques and Indices.
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).
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)
- Which number goes here? – multiplying and dividing (DOCX 419 KB)
- Multiplying and dividing with letters (ZIP 3 KB)
- Grid algebra ‘1 to 30 grid – (no negatives)' (ZIP 7 KB)
Lesson 18 – inverse journeys – multiplying
Lesson 19 – a fair share
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.