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 High School Precalculus Syllabus Resource & Lesson Plans
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Ch 17: Rational Functions & Difference Quotients: Lesson Plans

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About This Chapter

The Rational Functions and Difference Quotients chapter of this course is designed to help you plan and teach the students in your classroom how to graph rational functions, solve inequalities 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 Functions and Difference Quotients 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 Solving Equations and Inequalities Involving Rational Functions Examples of this process
Tuesday Graphing and Analyzing Rational Functions Identifying and analyzing asymptotes
Wednesday Expressions of Rational Functions Writing vertical and horizontal asymptotes
Thursday Finding Slant Asymptotes of Rational Functions Completing examples that outline the necessary steps
Friday The Geometric Interpretation of Difference Quotient Simplifying and interpreting difference quotients

5 Lessons in Chapter 17: Rational Functions & Difference Quotients: Lesson Plans
Chapter Practice Test
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Solving Equations & Inequalities Involving Rational Functions

1. Solving Equations & Inequalities Involving Rational Functions

After watching this video lesson, you will be able to solve both equations and inequalities that involve rational functions. Learn the steps involved in solving them as well as what to watch out for.
Graphing & Analyzing Rational Functions

2. Graphing & Analyzing Rational Functions

After watching this video lesson, you will be able to graph a rational function by analyzing its horizontal and vertical asymptotes. Learn to find how the graph behaves around the asymptotes.
Finding Slant Asymptotes of Rational Functions

3. Finding Slant Asymptotes of Rational Functions

Watch this video lesson to learn how you can find the slant asymptote to certain types of rational functions. Learn what you need to look for and how polynomial long division comes into play.
Expressions of Rational Functions

4. Expressions of Rational Functions

In this video lesson, you will learn how to write a rational function given just the horizontal and vertical asymptotes. Learn how to write the asymptotes and where to write them in your function.
The Geometric Interpretation of Difference Quotient

5. The Geometric Interpretation of Difference Quotient

After watching this video lesson, you will understand how the difference quotient looks from a geometric standpoint. You will also see how the difference quotient is applied to a function.
Chapter Practice Exam
Chapter Practice 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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