About This Chapter
Below is a sample breakdown of the Rational Functions & 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||Equations and inequalities that involve rational functions||Steps and examples for solving equations and inequalities that involve rational functions|
|Tuesday||Graph and analyze rational functions||How to graph rational functions, identify asymptotes and analyze their behavior|
|Wednesday||Slant asymptotes of rational functions||Definition of slant asymptotes and how to find them with rational functions.|
|Thursday||Expressions of rational functions||How to find expressions of rational functions with vertical and horizontal asymptotes|
|Friday||Difference quotient||Definition and application of the geometric interpretation of difference quotient.|
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.
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.
3. 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.
4. 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.
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