Graphing transformations – Year 11 – Mathematics Advanced

This program of learning addresses content from the focus areas of Working with functions and Graph transformations.

Syllabus

Syllabus outcomes and content descriptors from Mathematics Advanced 11–12 Syllabus (2024) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2025.

Unit 4 – graphing transformations

A 12-lesson unit for Year 11 with resources.

The lessons and sequences in this program of learning are designed to allow students to explore graphical transformations of functions, including reflections, translations, and dilations.

Students will investigate how changes to equations affect graphs within the scope of the Mathematics Advanced course, and determine key features such as domain, range, intercepts, and asymptotes. Students then apply this knowledge to solve a range of problems including those involving direct and inverse variation.

Introduction

Graphing transformations (DOCX 6 MB)

Lesson 1 – piecewise-defined functions

Lesson 2 – absolute value

Lesson 3 – solving absolute value equations

Lesson 4 – reflection

Lesson 5 – translations

Lesson 6 – further circles

Lesson 7 – further cubic functions

Further cubic functions (DOCX 6.2 MB)

Lesson 8 – dilations (enlargements and reductions)

Lesson 9 – dilations (horizontal and vertical)

Lesson 10 – applying graphing transformations

Lesson 11 – direct variation

Lesson 12 – inverse variation

Mathematics Advanced 11–12 units and assessments (2024)

Sample units and assessments to support teachers of Years 11–12 implementing the Mathematics Advanced 11–12 Syllabus (2024).

Category:

Mathematics Advanced

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Curriculum