Learning Resources

Outcomes

In this lesson you will

• Review and apply all the concepts and skills learned in Unit 01.

There are no new outcomes for this section. The outcomes for this section are as stated in Section 01 to Section 06 and are copied here again for your convenience.

• Analyze and describe the characteristics of exponential and logarithmic functions.
• Analyze scatter plots, and determine and apply the equations for the curves of best fit, using appropriate technology.
• Apply real number exponents in expressions and equations.
• Demonstrate an intuitive understanding of the recursive nature of exponential growth.
• Demonstrate an understanding of how parameter changes affect the graphs of exponential functions.
• Demonstrate an understanding of patterns that are arithmetic, power, and geometric, and relate them to corresponding functions.
• Demonstrate an understanding of the properties of logarithms and apply them.
• Demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations.
• Demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations.
• Demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations.
• Demonstrate an understanding, algebraically and graphically, that the inverse of an exponential function is a logarithmic function.
• Describe and interpret domains and ranges using set notation.
• Describe and translate between graphical, tabular, written, and symbolic representations of exponential and logarithmic relationships.
• Model real world phenomena using exponential functions.
• Model real world phenomena using exponential growth.
• Sketch graphs from descriptions, tables, and collect data.
• Solve exponential and logarithmic equations.
• Solve problems involving exponential and logarithmic equations.

Introduction

This section is a review of the work covered in Unit 03. Be sure to read through the Key Terms and Summary of Key Concepts on pages 192 - 198 before you do some extra practice. 

The Summary of Key Concepts not only summarizes what you should have discovered in the Investigations in this Unit, but also provides worked examples of the type of problems you are expected to be able to do. It is an excellent summary and source of review.

The Practice exercises on pages 199 - 204 are just that - extra practice. There are no new concepts here. If you can follow the examples in the Summary of Key Concepts and do the exercises in the Practice you should do well on any quiz or major test on this unit. Remember, Mathematics 3204 students are not responsible for work in the text book from 3.3 Graphing Exponential Functions so omit this from your review.

The time you take at this section is entirely dependent on how well you know the material in the section and how much extra practice you wish to do. No time is suggested for the lesson, it is entirely up to you. Be sure to contact your teacher about any concept or problem that causes difficulty.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• The concepts and skills presented in Sections 01 to 06 of Unit 03.