Ch 6: Exponentials & Logarithms: Homeschool Curriculum

About This Chapter

The Exponentials and Logarithms unit of this AP Calculus Homeschool course is designed to help homeschooled students learn to solve logarithmic and exponential equations. Parents can use the short videos to introduce topics, break up lessons and keep students engaged.

Who's it for?

This Exponentials and Logarithms unit of our AP Calculus Homeschool course will benefit any student who is trying to learn to solve logarithmic and exponential equations. There is no faster or easier way to learn about exponentials and logarithms. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn how to define and evaluate logarithms or compare exponential growth and decay.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a calculus curriculum that appeals to multiple learning types (visual or auditory).
  • Gifted students and students with learning differences.

How it works:

  • Students watch a short, fun video lesson that covers a specific unit topic.
  • Students and parents can refer to the video transcripts to reinforce learning.
  • Short quizzes and the Exponentials and Logarithms unit exam confirm understanding or identify any topics that require review.

Exponentials and Logarithms Unit Objectives:

  • Define exponential functions and logarithms.
  • Explain decay versus exponential growth.
  • Learn about logarithmic properties, and complete practice problems.
  • Practice solving exponential and logarithmic equations.

8 Lessons in Chapter 6: Exponentials & Logarithms: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
What Is an Exponential Function?

1. What Is an Exponential Function?

Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!

Exponential Growth vs. Decay

2. Exponential Growth vs. Decay

How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!

What is a Logarithm?

3. What is a Logarithm?

Logarithms can help you solve exponential functions. In this lesson, you will learn about how to work with and recognize logarithms, and how to use logarithm notation with an example problem about earthquakes!

How to Evaluate Logarithms

4. How to Evaluate Logarithms

Using this lesson, you can get practice evaluating logarithms, as well as learn some of the shortcuts behind writing and estimating them. You can also learn how to use your calculator to evaluate logarithms, and learn about a concept called the change of base theory.

Logarithmic Properties

5. Logarithmic Properties

Along with the change of base property, there are three other logarithmic properties that allow you to manipulate expressions to your advantage. Learn about the product rule, quotient rule and power rule here.

Practice Problems for Logarithmic Properties

6. Practice Problems for Logarithmic Properties

As you get further and further into mathematics, logarithms will appear more and more. It's the point of this lesson to get you used to dealing with them and able to know what to do when you see a whole line of paper full of them!

How to Solve Exponential Equations

7. How to Solve Exponential Equations

Read this lesson to learn the steps you need to take to solve exponential equations. You'll see that it's not too difficult; you just need to make use of one other mathematical operation in order to solve your problems.

How to Solve Logarithmic Equations

8. How to Solve Logarithmic Equations

If you're ever picking out a telescope to see your favorite planet, make sure you do the math first! Learn how to solve the logarithmic equation that will get you the size telescope you want.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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