Inverse Functions Lesson

I like teaching inverse functions. This inverse functions lesson plan will help you find connections with your students. With the real world context, students understand this concept well by the end of class. I love working on the ideas of computers, maps, and math puzzles. Be sure to stay to the end for your free copy of the inverse functions worksheet set.

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) =2x3 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.

Inverse functions worksheet

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.

Inverse functions worksheet

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.

Inverse functions worksheet

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.

Inverse functions worksheet

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.

Inverse functions worksheet

Inverse Functions Lesson

 

 

Translating Graphs Lesson Plan

Translating Graphs Lesson PlanThe Translating Graphs Lesson Plan Overview

The translating graphs lesson plan is designed to be an inquiry and discovery-based lesson. The students are introduced to an activity where they are encouraged to speculate, test and make guesses about the graph translation before testing it on some graphing utility that you have available in your classroom for your students.

The Translating Graphs Lesson Plan Covers

  • F. BF.3 - Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

The Translating Graphs Lesson Plan Emphasizes the Mathematical Practices

  • MP6 - Attend to precision.

The Flow of the Translating Graphs Lesson Plan

The students will come in and review the day before's activity on translating functions with equations. Now they're going to look at more complex graphs and equations and build upon that understanding that in this lesson plan.

The activity that's been created allows students a chance to play with and model with the graphs provided. Students will need to make speculations and ask questions of themselves and others to complete the activity. The students may find some of them easy and some of them difficult. It'll be important that you do not give out the answers until the very end, but encourage them to discover and figure out the correct answers on their own.

Once students are done with the activity, there is a provided PowerPoint that will allow the students to take notes on the correct information. This will allow students to play with the numbers and then solidify their understanding so that they can carry it further into the next lessons.

Before leaving students will complete an exit slip that will allow you to assess exactly where they are in their learning. The next lesson is designed to allow you time to correct any misunderstandings in their understanding.

Free Translating Graphs Worksheet/Activity

The Complete Day 32: Translating Graphs Lesson Plan Includes:

  • Day 32: Translating Graphs Lesson Plan
  • Day 32: Bellringer
  • Day 32: Activity - Parent Functions
  • Day 32: Presentation - Translating Graphs
  • Day 32: Exit Slip

Members: Use this link to access the full Day 32: Translating Graphs lesson plan download:

Powerful Questions

  • What generalization can you make about the graphs?
  • How can I move the graph up five units? (etc.)
  • Why are the horizontal moves the "opposite" direction?

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Translating Graphs Lesson Plan

 

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