Unit 6 – differentiation techniques and applications

An 10-lesson unit for Year 11 with resources.

This program of learning addresses content from the focus area of Introduction to differentiation. The lessons and sequences in this program of learning are designed to allow students to differentiate using a variety of rules before applying them to describe functions and graph derivatives.

Introduction

Differentiation techniques and applications (DOCX 6 MB)

Lesson 1 – basic differentiation rules

• Basic differentiation rules (DOCX 7.5 MB)
• Basic differentiation rules – slide deck (PPTX 1.5 MB)

Lesson 2 – tangents and normals

• Tangents and normals (DOCX 8.4 MB)
• Tangents and normals – slide deck (PPTX 1.8 MB)

Lesson 3 – the chain rule, part 1

• The chain rule, part 1 (DOCX 7.2 MB)
• The chain rule, part 1 – slide deck (PPTX 2 MB)

Lesson 4 – the chain rule, part 2

• the chain rule, part 2 (DOCX 8.1 MB)
• the chain rule, part 2 – slide deck (PPTX 2.3 MB)

Lesson 5 – the product rule

• The product rule (DOCX 8.1 MB)
• The product rule – slide deck (PPTX 2.6 MB)

Lesson 6 – the quotient rule

• The quotient rule (DOCX 8.3 MB)
• The quotient rule – slide deck (PPTX 1.9 MB)

Lesson 7 – mixed differentiation

• Mixed differentiation (DOCX 7.2 MB)
• Mixed differentiation – slide deck (PPTX 460 KB)

Lesson 8 – increasing and decreasing functions

• Increasing and decreasing functions (DOCX 8.5 MB)
• Increasing and decreasing functions – slide deck (PPTX 2 MB)

Lesson 9 – graphing the derivative function

• Graphing the derivative function (DOCX 7.4 MB)
• Graphing the derivative function – slide deck (PPTX 1.5 MB)

Lesson 10 – displacement and velocity

• Displacement and velocity (DOCX 7.8 MB)
• Displacement and velocity – slide deck (PPTX 1.9 MB)