Unit 8 – exponential and logarithmic functions

A 7-lesson unit for Year 11 with resources. This unit focuses on exponential and logarithmic functions, exploring their properties, behaviours and interrelationships.

Students will graph exponential functions, identify their characteristics, learn about Euler’s number and apply logarithmic laws to solve equations, ultimately understanding the reflection between exponential and logarithmic graphs.

Introduction

Exponential and logarithmic functions (DOCX 6 MB)

Lesson 1 – transformations of exponential functions

• Transformations of exponential functions (DOCX 3.1 MB)
• Transformations of exponential functions – slide deck (PPTX 1.8 MB)

Lesson 2 – Euler's number

• Euler's number (DOCX 4.9 MB)
• Euler's number – slide deck (PPTX 2 MB)

Lesson 3 – finding the power

• Finding the power (DOCX 4.1 MB)
• Finding the power – slide deck (PPTX 1.5 MB)

Lesson 4 – the logarithmic function

• The logarithmic function (DOCX 4.6 MB)
• The logarithmic function – slide deck (PPTX 2.4 MB)

Lesson 5 – the logarithmic laws

• The logarithmic laws (DOCX 2.1 MB)
• The logarithmic laws – slide deck (PPTX 3.1 MB)

Lesson 6 – the logarithmic laws – proofs and equations

• The logarithmic laws – proofs and equations (DOCX 3.9 MB)
• The logarithmic laws – proofs and equations – slide deck (PPTX 1.9 MB)

Lesson 7 – change of base

• Change of base (DOCX 3 MB)
• Change of base – slide deck (PPTX 1.6 KB)