Module 7

Over time, many things will change in size. For example, a tree will get taller and a secure investment will increase in value. But there is a big difference between these two growths. When a tree is young, it grows quickly; as the tree ages, it grows more slowly. An investment grows slowly at its start and more quickly as it ages. These two types of growth can be modelled using exponents and logarithms.

 

In this module you will investigate the following question: How can exponents and logarithms be used to solve problems that involve growth and decay?

 

To investigate this module question, you will focus on the following lessons and questions.

 

Lesson	Topic	Lesson Questions
1	Characteristics of Exponential Functions	How can the characteristics of exponential functions be described using graphs and equations?
2	Solving Exponential Equations	How can exponential equations be used to solve problems involving growth and decay?
3	Converting Between Logarithms and Exponents	How are logarithms and exponents related?
4	Characteristics of Logarithmic Functions	How can the characteristics of logarithmic functions be described using graphs and equations?
5	Laws of Logarithms	How can the laws of logarithms be used to manipulate expressions?
6	Solving Exponential Equations Using Logarithms	How can logarithms be used to solve exponential equations?
7	Modelling Data Using Exponential and Logarithmic Regressions	How can an exponential or logarithmic model be used to solve problems?

In the Module 7 Project: At the Movies, you will use your understanding of exponential and logarithmic functions to help you interpret problems related to movie revenue.

At the end of each lesson, you may be asked to complete a part of the Module 7 Project. For specific instructions on each part, refer to the Module 7 Project.

 

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