About This Chapter
Standard: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. (CCSS.Math.Content.HSF-IF.C.7d)
About This Chapter
Once students have full knowledge of rational functions, they'll be able to make graphs of rational functions and find the end behavior and y-intercepts of rational functions. Lesson topics for this particular standard include:
- Horizontal and vertical asymptotes
- Finding the vertical and horizontal asymptotes of rational functions
- Finding the zeros of rational functions
You'll know when your students have a good grasp on rational functions when they're able to successfully point out asymptotes and zeros and when they're able to graph a rational function. By learning the lessons of this standard, students can be better prepared for jobs in such areas as medical anesthesiology, sales analysis and aeronautical science.
How to Use These Lessons in Your Classroom
Here are a few tips that could come in handy when teaching rational functions in the classroom:
Use Quizzes as Homework
Instead of using lesson quizzes in class, you can assign them as homework just to see how good of a grasp students have on the previous topic. This can be a good indication of whether or not your class is ready to move on or if you need to spend more time on a particular topic.
At the beginning of each class, you could review the highlights of the previous day's lesson topic as a refresher. Not only is this a good way to remind students of what they've learned, it can also act as a foundation for the newest lesson.
To make graphing rational functions a bit more entertaining, make a game of it that your students can play to earn extra points. For example, have them write a rational function to determine their weight on the moon. You can also incorporate identifying zero and asymptotes as part of the game.
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Other chapters within the Common Core Math - Functions: High School Standards course
- Common Core HS Functions - Basics
- Common Core HS Functions - Sequences
- Common Core HS Functions - Graphing
- Common Core HS Functions - Linear Functions
- Common Core HS Functions - Quadratic Functions
- Common Core HS Functions - Common Functions & Transformations
- Common Core HS Functions - Polynomial Functions
- Common Core HS Functions - Exponential & Logarithmic Functions
- Common Core HS Functions - Trigonometric Functions