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Ch 18: Rational Expressions in Algebra Lesson Plans

About This Chapter

The Rational Expressions chapter of this course is designed to help you plan and teach the students in your classroom how to solve rational equations and expressions. 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 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
The process of factoring and simplifying expressions;
Flipping fractions and canceling like terms
Tuesday How to Add and Subtract Rational Expressions;
Practice Adding and Subtracting Rational Expressions
The simplifying and rewriting of fractions;
Practice factoring and FOILing expressions
Wednesday How to Solve a Rational Equation;
Rational Equations: Practice Problems
A list of the steps required to solve rational equations
Practice clearing equations of fractions
Thursday Division and Reciprocals of Radical Expressions;
Simplifying Complex Rational Expressions
Finding the reciprocal, dividing and simplifying radical expressions;
Definition of complex rational expressions and methods for simplifying them
Friday Solving Equations of Direct Variation;
Solving Equations of Inverse Variation
How to solve problems with direct and inverse variation

10 Lessons in Chapter 18: Rational Expressions in Algebra 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!

Rational Equations: Practice Problems

6. Rational Equations: Practice Problems

Mario and Bill own a local carwash and have several complex tasks that they must use rational equations to solve for an answer. Enjoy learning how they solve these equations to help them with some of their day-to-day tasks.

Division and Reciprocals of Radical Expressions

7. Division and Reciprocals of Radical Expressions

Watch this video lesson to learn what you need to do when dividing radical expressions. Learn what you need to look out for before you divide and why you can't leave your radical in your denominator.

Simplifying Complex Rational Expressions

8. Simplifying Complex Rational Expressions

When it comes to fractions, things may seem to get really complicated and scary when you have a fraction on top of a fraction. But never fear, after watching this video lesson, you will be able to simplify these expressions like a pro.

Solving Equations of Direct Variation

9. Solving Equations of Direct Variation

In the real world, we come across a lot of problems that vary directly with each other. You will learn how to solve these types of direct variation problems in this video lesson.

Solving Equations of Inverse Variation

10. Solving Equations of Inverse Variation

After watching this video lesson, you will be able to identify problems where you can use the formula for inverse variation to solve them. Learn what is involved and how easy they are to solve.

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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