Introduction

Workshop 7 focused on functions. Time was spent making connections between compound interest, geometric sequences, exponential functions and logarithmic functions. As part of this process a lesson on introducing e to students was modeled. Shifting and scaling of quadratic functions was also addressed. If you missed workshop 7 or want to go back over some of the activities done on the day, you’ll find videos of the full workshop and all the resources used or references during the workshop below.

Workshop 7 videos

Workshop 7

Part 1

Workshop 7

Part 2

Workshop 7

Part 3

Resources used or referenced in workshop

Teacher resource booklet

Exploring numbers in context

Investigating compound interest

Teaching and learning plan on applications of geometric sequences and series

Comparing linear growth and compound growth

Reducing balance

Introducing exponential functions

Investigating the function y=2^x

Indices tasks

Student competency test on indices

Instructions on using the competency test on indices

Introduction to exponential growth

Visualising e

Discrete compounding approximating continuous compounding

Understanding e as a limit

Teaching and learning plan on introducing e

Introducing logarithms

Introduction to logarithmic functions

Logarithms in the world around us

Using logarithms to expand and contract numbers greater than 1

Using logarithms to expand and contract numbers less than 1

Understanding the relationship between exponential and logarithmic functions

Shifting and scaling functions

Graph matching activity on functions

Types of functions

Poster summarising shifting and scaling quadratic functions

Assessment for learning place mat

Ready-made tarsia activities

Download Formulator Tarsia software