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Ch 18: Rational Expressions & Function Graphs: Lesson Plans

About This Chapter

The Rational Expressions and Function Graphs chapter of this course is designed to help you plan and teach the students in your classroom how to add, subtract, divide and multiply rational expressions 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 Rational Expressions and Function Graphs 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 How to Multiply and Divide Rational Expressions;
Multiplying and Dividing Rational Expressions: Practice Problems
Techniques for factoring and simplifying rational expressions;
Factoring, canceling and multiplying rational expressions
Tuesday How to Add and Subtract Rational Expressions;
Practice Adding and Subtracting Rational Expressions
An outline of this process;
Techniques for finding a common denominator in a rational expression
Wednesday How to Solve a Rational Equation;
Graphing Rational Functions that Have Linear Polynomials: Steps and Examples
An explanation of the four required steps;
The process of finding vertical and horizontal asymptotes
Thursday Graphing Rational Functions that Have Polynomials of Various Degrees: Steps and Examples Scenarios for finding points in order to graph a rational function
Friday Analyzing the Graph of a Rational Function: Asymptotes, Domain and Range The characteristics of rational functions

8 Lessons in Chapter 18: Rational Expressions & Function Graphs: Lesson Plans
Test your knowledge with a 30-question chapter practice test
How to Multiply and Divide Rational Expressions

1. How to Multiply and Divide Rational Expressions

Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.

Multiplying and Dividing Rational Expressions: Practice Problems

2. Multiplying and Dividing Rational Expressions: Practice Problems

Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.

How to Add and Subtract Rational Expressions

3. How to Add and Subtract Rational Expressions

Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.

Practice Adding and Subtracting Rational Expressions

4. Practice Adding and Subtracting Rational Expressions

Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!

How to Solve a Rational Equation

5. How to Solve a Rational Equation

A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!

Graphing Rational Functions That Have Linear Polynomials: Steps & Examples

6. Graphing Rational Functions That Have Linear Polynomials: Steps & Examples

Watch this video lesson to learn how you can graph rational functions with linear polynomials in just a few steps. Also learn what kinds of functions these are and what you need to look for to graph them.

Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples

7. Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples

Graphing rational functions is not as hard or as scary as it sounds. Sure, the functions may be big, but watch this video lesson and you will see that graphing these functions can actually be easy.

Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

8. Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

A rational function arises from the ratio of two polynomial expressions. The graphs of rational functions often have distinct characteristics. In this lesson, we look at how to analyze some of those characteristics.

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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Other Chapters

Other chapters within the High School Precalculus Syllabus Resource & Lesson Plans course

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