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Ch 10: Exponents & Exponential Functions: NBPTS Math - Adolescence & Young Adult

About This Chapter

This chapter includes lessons on the subject of exponents and exponential functions. These lessons are designed as a refresher for the National Board for Professional Teaching Standards (NBPTS) Math test.

Exponents & Exponential Functions: NBPTS Math - Adolescence & Young Adult - Chapter Summary

These lessons are short videos on exponents and exponential functions that you can use as preparation for related questions on the NBPTS Math test. The lessons will walk you through:

  • Discovering the five main properties of exponents
  • Getting to know the zero and negative exponent
  • Simplifying expressions that have rational exponents
  • Getting familiar with the exponential function
  • Comparing exponential growth and decay
  • Writing and graphing functions of exponents
  • Finding out about transformation of exponential functions
  • Solving exponential equations

The videos average less than 10 minutes run time each and include a quiz to assess your understanding. Material can be reviewed by referring to the lesson transcript or by using the video timeline tool to select any specific section to replay. We also have a feature that allows you to ask a question of the instructor.

8 Lessons in Chapter 10: Exponents & Exponential Functions: NBPTS Math - Adolescence & Young Adult
Test your knowledge with a 30-question chapter practice test
What Are the Five Main Exponent Properties?

1. What Are the Five Main Exponent Properties?

We'll look at the five important exponent properties and an example of each. You can think of them as the order of operations for exponents. Learn how to handle math problems with exponents here!

How to Define a Zero and Negative Exponent

2. How to Define a Zero and Negative Exponent

The zero and negative exponent properties are two you will use quite a lot in mathematics. The negative exponent property can be confusing, but when you remember a couple fun ideas, you will get it right every time!

Simplifying Expressions with Rational Exponents

3. Simplifying Expressions with Rational Exponents

Simplifying expressions with rational exponents is so easy. In fact, you already know how to do it! We simply use the exponent properties but with fractions as the exponent!

What Is an Exponential Function?

4. 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

5. 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!

Writing & Graphing Exponential Functions

6. Writing & Graphing Exponential Functions

In this lesson, we will explore exponential functions and their properties. Through real world examples and explanation, we will see how to write and graph these types of functions.

Transformation of Exponential Functions: Examples & Summary

7. Transformation of Exponential Functions: Examples & Summary

All exponential functions follow a basic graph. But when you make changes to the function, you will see the graph shift and make changes. Watch this video lesson to learn how to easily identify these changes or transformations.

How to Solve Exponential Equations

8. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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