Ch 6: Exponents & Polynomials: College Algebra Lesson Plans

About This Chapter

The Exponents and Polynomials chapter of this course is designed to help you plan and teach the students in your classroom about exponent properties, synthetic division, rational exponents and more. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Exponents and Polynomials chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday What Are the Five Main Exponent Properties?;
How to Define a Zero and Negative Exponent
Explanations and examples of the five exponent properties;
Tips for understanding the negative exponent property
Tuesday How to Simplify Expressions with Exponents;
Rational Exponents
Practice problems for simplifying exponents;
The process of rewriting rational exponents
Wednesday Simplifying Expressions with Rational Exponents;
How to Graph Cubics, Quartics, Quintics and Beyond
Review and examples of exponents;
The differences between local maximum and local minimums
Thursday How to Add, Subtract and Multiply Polynomials;
How to Divide Polynomials with Long Division
Tips for organizing similar terms;
An explanation of this process
Friday How to Use Synthetic Division to Divide Polynomials;
Dividing Polynomials with Long and Synthetic Division: Practice Problems
Two methods of writing synthetic division;
A look at examples of this process

10 Lessons in Chapter 6: Exponents & Polynomials: College Algebra Lesson Plans
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!

How to Simplify Expressions with Exponents

3. How to Simplify Expressions with Exponents

In this video, we will put all of the exponent properties we have learned together. Don't let lots of numbers and letters confuse you! Simplifying exponents can be easy and fun!

Rational Exponents

4. Rational Exponents

In this video, learn how to go from a rational exponent to a radical expression and back. No tricks or magic, just good math! We'll review the basics and look at a few examples.

Simplifying Expressions with Rational Exponents

5. 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!

How to Graph Cubics, Quartics, Quintics and Beyond

6. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

How to Add, Subtract and Multiply Polynomials

7. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

How to Divide Polynomials with Long Division

8. How to Divide Polynomials with Long Division

Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!

How to Use Synthetic Division to Divide Polynomials

9. How to Use Synthetic Division to Divide Polynomials

Synthetic division is a 'short-cut' way of dividing a polynomial by a monomial. You still need to know long division, sorry, but this method is way fun when you're dividing by a monomial!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

10. Dividing Polynomials with Long and Synthetic Division: Practice Problems

Let's look at some more polynomial division problems. We will use long division and synthetic division, but this time we will have a couple of more involved problems. So, get out some paper and a pencil and let's begin!

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.
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