Unit 3 – working with linear and quadratic functions

A 16-lesson unit for Year 11 with resources.

This program of learning addresses content from the focus areas of Working with functions. The lessons and sequences in this program of learning are designed to provide an exploration of linear and quadratic functions, their graphs, and their applications to model practical problems. Students will refine their algebraic skills while learning and applying appropriate methods for graphing quadratic functions.

Introduction

Linear and quadratic equations (DOCX 2.1 MB)

Lesson 1 – linear functions

• Linear functions (DOCX 4.1 MB)
• Linear functions – slide deck (PPTX 4.2 MB)

Lesson 2 – modelling linear functions

• Modelling linear functions (DOCX 3.4 MB)
• Modelling linear functions – slide deck (PPTX 6.6 MB)

Lesson 3 – linear inequalities

• Linear inequalities (DOCX 3 MB)
• Linear inequalities – slide deck (PPTX 4.5 MB)

Lesson 4 – solving simultaneous equations

• Solving simultaneous equations (DOCX 3.1 MB)
• Solving simultaneous equations – slide deck (PPTX 4.5 MB)

Lesson 5 – factorising monic quadratic functions

• Factorising monic quadratic functions (DOCX 2.5 MB)
• Factorising monic quadratic functions – slide deck (PPTX 4.0 MB)

Lesson 6 – graphing monic quadratic functions

• Graphing monic quadratic functions (DOCX 3.5 MB)
• Graphing monic quadratic functions – slide deck (PPTX 4.1 MB)

Lesson 7 – factorising and graphing non-monic quadratic functions

• Factorising and graphing non-monic quadratic functions (DOCX 2.7 MB)
• Factorising and graphing non-monic quadratic functions – slide deck (PPTX 4.1 MB)

Lesson 8 – completing the square

• Completing the square (DOCX 5.0 MB)
• Completing the square – slide deck (PPTX 3.1 MB)

Lesson 9 – the quadratic formula

• The quadratic formula (DOCX 3.3 MB)
• The quadratic formula – slide deck (PPTX 2.8 MB)

Lesson 10 – simplifying surds

• Simplifying surds (DOCX 4.2 MB)
• Simplifying surds – slide deck (PPTX 3.9 MB)

Lesson 11 – rationalising the denominator

• Rationalising the denominator (DOCX 2.3 MB)
• Rationalising the denominator – slide deck (PPTX 5.6 MB)

Lesson 12 – the discriminant

• The discriminant (DOCX 3.0 MB)
• The discriminant – slide deck (PPTX 3.0 MB)

Lesson 13 – finding quadratic functions from a graph

• Finding quadratic functions from a graph (DOCX 3.0 MB)
• Finding quadratic functions from a graph – slide deck (PPTX 3.5 MB)

Lesson 14 – modelling quadratic functions

• Modelling quadratic functions (DOCX 2.2 MB)
• Modelling quadratic functions – slide deck (PPTX 3.4 MB)

Lesson 15 – simultaneous quadratic equations

• Simultaneous quadratic equations (DOCX 2.8 MB)
• Simultaneous quadratic equations – slide deck (PPTX 3.7 MB)

Lesson 16 – solving quadratic inequalities

• Solving quadratic inequalities (DOCX 3.0MB)
• Solving quadratic inequalities – slide deck (PPTX 4.7 MB)