Year 9, Unit 2 – working with triangles

The lessons and sequence in this unit are designed to allow students to use the properties of right-angled triangles to solve a range of geometrical, measurement and real world problems.

This program of learning addresses content from the focus areas Trigonometry A, Linear relationships A, Numbers of any magnitude, as well as Path focus areas Linear relationships C, 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).

Working with triangles

Working with triangles is a 16-lesson unit for Year 9 with resources.

Introduction

Working with triangles (DOCX 162 KB)

Lesson 1 – 45-degree angles

Lesson 2 – larger and smaller angles

Lesson 3 – the tangent ratio

Lesson 4 – the sine and cosine ratios

Lesson 5 – I lost my calculator

I lost my calculator (DOCX 102 KB)

Lesson 6 – finding missing sides

Lesson 7 – significant distances

Lesson 13 – how far around is one degree?

Lesson 14 – how steep is too steep?

Lesson 15 – slopes as gradients

Slopes as gradients (DOCX 1.9 MB)

Lesson 16 – gradients in the Cartesian plane

Gradients in the Cartesian plane (DOCX 298 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 1 – geometric representations

Stage 5 – An 11-lesson unit designed to help students understand and apply concepts including proportion, scale factors, similarity and connections to represent real life objects, spaces and situations.

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.