Further work with functions – Year 11 – Mathematics Extension 1
This program of learning addresses content from the focus area of Further work with functions.
Syllabus
Syllabus outcomes and content descriptors from Mathematics Extension 1 11–12 (2024) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2025.
Unit 6 – further work with functions
The lessons and sequences in this program of learning are designed to allow students to explore the reciprocal, inverse and absolute value functions as well as the addition and subtraction of functions.
Introduction
Further work with functions (DOCX 8.3 MB)
Lesson 1 – absolute value
Lesson 2 – reflecting in the line y=x
Lesson 3 – one-to-one functions and sketching the inverse
One-to-one functions and sketching the inverse (DOCX 11.9 MB)
Lesson 4 – finding the equation of the inverse
- Finding the equation of the inverse (DOCX 9.2 MB)
- Finding the equation of the inverse – slide deck (PPTX 3.5 MB)
Lesson 5 – addition and subtraction of functions
- Addition and subtraction of functions (DOCX 7.2 MB)
- Addition and subtraction of functions – slide deck (PPTX 4.8 MB)
Lesson 6 – reciprocal functions
Lesson 7 – reciprocal trigonometric graphs
Last modified date
12/03/2026
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