Year 9, Unit 1 – geometric representations

An 11-lesson unit designed to allow students to understand and use geometrical representations, applying concepts including proportion, scale factors, similarity and connections (networks) to represent real life objects, spaces, situations and concepts.

This program of learning addresses content from the focus areas of Properties of geometrical figures A, as well as Path focus areas, Properties of geometrical figures B and Introduction to networks.

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).

Geometric representations

Geometric representations is an 11-lesson unit for Year 9 with resources.

Introduction

Geometrical representations (DOCX 155 KB)

Lesson 1 – whales and chihuahuas

Lesson 2 – scaled copies

Lesson 3 – similar figures in art

Lesson 4 – how many angles?

Lesson 5 – corresponding sides and angles

Lesson 6 – scale factor

Lesson 7 – scale factor in similar triangles

Lesson 8 – movie magic

Lesson 9 – maps and scale

Lesson 10 – comparing representations

Lesson 11 – scale factor and area

Scale factor and area (DOCX 165 KB)

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 2 – working with triangles

Stage 5 – A 16-lesson mathematics unit with resources designed to allow students to use the properties of right-angled triangles to solve a range of geometrical, measurement and real world problems.

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.