## Asymptotes.ppt - Section 2: Application: Graphing Rational Functions

# Rational Functions Review Day

Lesson 10 of 12

## Objective: SWBAT graph rational functions and algebraically identify key aspects of the graphs of rational functions.

## Big Idea: This lesson is all about helping students to solidify their skills in graphing rational equations and wrapping up the unit.

*51 minutes*

For the first few minutes of class today, I will take some time to review the questions that students asked in yesterday’s 3-2-1 Assessment Questions. If the question pertains to horizontal asymptotes and graphing rational functions it may be answered in today’s lesson, so I plan to put those aside and address them tomorrow. If there is time, I would also like to share the things that students listed as items they’ve learned. I think it is helpful for the whole class to hear what their classmates have learned during the unit.

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#### Conclusion: Test Review

*20 min*

As students complete the Graphing Rational Functions worksheet, I am going to quickly check it for completion. I will probably check-it-off on my clipboard and assign points right then and there. I will post the answer sheets around the room. Students can go check answers themselves.

I feel it is much more worthwhile for students to identify their own mistakes. It is important for them to learn to take responsibility to fix them. Even if I were to collect this worksheet, and score it, students would not get the feedback soon enough to help with our upcoming test.

Once students have checked and corrected their work I want them to check in with me again and get their Test Review: Rational Functions worksheet. I am hoping students will be motivated to work hard on the graphing problems earlier in the lesson, so they can use class time to complete the Test Review instead of doing it all as homework.

#### Resources

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#### Homework

*1 min*

I will ask my students to continue to work through the Test Review for homework. Tomorrow, I am going to give my students ½ a class period to finish, compare answers, and formulate questions. The remainder of the class will be devoted to taking questions from students in preparation for the unit test.

#### Resources

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- UNIT 1: Basic Functions and Equations
- UNIT 2: Polynomial Functions and Equations
- UNIT 3: Rational Functions and Equations
- UNIT 4: Exponential Functions and Equations
- UNIT 5: Logarithmic Functions and Equations
- UNIT 6: Conic Sections
- UNIT 7: Rotations and Cyclical Functions
- UNIT 8: Cyclical Patterns and Periodic Functions
- UNIT 9: Trigonometric Equations
- UNIT 10: Matrices
- UNIT 11: Review
- UNIT 12: Fundamentals of Trigonometry

- LESSON 1: Rational Approaches to Solving Rational Equations
- LESSON 2: Speed Dating Rationally
- LESSON 3: Another Rational Approach to Solving: Graphing
- LESSON 4: Ahoy again! What can you see now? Building Rational Functions
- LESSON 5: Evolving Rational Functions
- LESSON 6: Rationalized Transformations: Shifting Rational Functions
- LESSON 7: Light it Up - Day 1: Modeling with Rational Functions
- LESSON 8: Light it Up – Day 2: Modeling with Rational Functions
- LESSON 9: You can’t Get There from Here: Finding the Asymptotes
- LESSON 10: Rational Functions Review Day
- LESSON 11: Rational Functions Test Review
- LESSON 12: Rational Functions and Equations Test