## Inverse Functions Lesson

### Standard: CCSS.MATH.CONTENT.HSF.BF.B.4.A

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2x^{3} or f(x) = (x+1)/(x-1) for x ≠ 1.

### I Can Statement for the Inverse Functions Lesson Plan

I can find the inverse of a linear function.

This introduction is our students first experience with inverse functions, and while the full standard also incorporates the inverse of exponential and rational functions, we are beginning with linear functions during this lesson.

### Essential Questions About Inverse Functions

Why is the idea of "inverse" so important in mathematics?

I like this question. It forces the students to think critically and evaluate their understanding of the concept.

### Bellringer Worksheet

The bellringer worksheet consists of 4 questions asking students to create a linear equation from a table. This bellringer should reinforce their understanding of linear relationships and functions before beginning the day's lesson.

### Understanding Inverse Functions Activity

The activity for today helps our students understand the essential question. We take a look at some direction to our friend Tracy's home, and we ask the student to give the directions back. This activity is not only ideal for understanding inverses but also this is an excellent technical writing exercise as well.

We can then connect that activity to a math question. Students may have seen this before, and they are stumped that a teacher could know what number they started with after doing some silly calculations. But now they will know the magic trick.

### Practice - Inverse Functions Worksheet

The practice sheets are designed to give students a contextual, algebraic, and graphical understanding of inverse functions. The inverse function worksheets build upon themselves and will allow students the opportunity to ask questions and work through the work using math vocabulary.

### Exit Slip - Formative assessment for Inverse Functions

The exit slip is two relatively simple inverse questions that will allow you to quickly assess your students to determine if anyone is falling behind. The first question will give you a glimpse into their algebraic ability to manipulate the equation, while they second problem will give you a look at their understanding of inverse functions.