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# Quiz and Intro to Inverse Functions

Lesson 5 of 8

## Objective: SWBAT demonstrate what they have learned about operations with algebraic expressions, solving rational equations, and modeling with rational functions.

## Big Idea: Working with rational functions is just like working with fractions. Today's quiz will assess your ability to work with rational expressions and equations.

*90 minutes*

#### Quiz

*45 min*

Students will take the first 45 minutes of class to complete Quiz Operations on Rational Expressions. This quiz should be completed without a graphing calculator so that students practice factoring. See the reflection Using CAS Calculators in the Algebra 2 Classroom for a discussion of how I manage calculator usage in my class to optimize learning.

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#### Intro to Inverse Functions

*30 min*

As students submit their quiz, they work independently on Intro to Inverse Functions. This is a worksheet that places inverse functions in the context of conversions between Celsius and Fahrenheit temperature scales.

#### Resources

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After students have spent some time working on the Intro to Inverse Functions, I bring the class together for a whole group discussion about inverse functions. I use the presentation Inverse Functions.ppt to provide my students with an overview of what inverse functions are all about. I request that they do not take notes, but rather engage in the conversation that I hope the highly visual presentation will generate.

I post the presentation on Edmodo, and promise to provide explicit notes on inverse functions in the next class period.

#### Resources

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- LESSON 1: Modeling Proportional Relationships
- LESSON 2: Simplifying Rational Expressions
- LESSON 3: Operations with Rational Expressions
- LESSON 4: Solving Rational Equations
- LESSON 5: Quiz and Intro to Inverse Functions
- LESSON 6: Inverse Functions
- LESSON 7: Review Stations
- LESSON 8: Unit Assessment: Rational and Inverse Functions