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Worksheet
Curated OER

Composite Functions and Inverse Functions

For Students 8th - 12th
In this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises.  The concepts covers include: composite functions, inverse functions, graphs of...
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Lesson Plan
Curated OER

Fifty-Eight Inverse and On-To-One Questions

For Teachers 8th - 11th
In this inverse function worksheet, pupils sketch inverses, find inverse functions, confirm pairs of functions are inverses, determine functions are one-to-one, and complete tables for one-to-one functions in fifty-eight questions.
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Lesson Plan
Curated OER

Four Steps to Find Inverse Functions

For Teachers 8th - 11th
In this inverse functions reference worksheet, learners are presented with the four sets used to find an inverse function given a function equations.
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Lesson Plan
Willow Tree

Direct and Inverse Variations

For Students 7th - 10th Standards
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
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Lesson Plan
Illustrative Mathematics

Graphs of Compositions

For Teachers 8th - 12th Standards
It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....
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Unit Plan
Mathematics Vision Project

Module 8: More Functions, More Features

For Teachers 8th - 10th Standards
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
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Lesson Plan
02 x 02 Worksheets

Inverse Variation

For Teachers 8th - 10th Standards
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
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Worksheet
Curated OER

Twenty Inverse Function Problems with Graphing

For Students 8th - 10th
In this function inverse activity, learners state if the given functions are inverses in eight problems, find the inverse function in eight more problems. Students also find the inverse function and graph the original and inverse...
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Lesson Plan
Curated OER

Very Varied - Inverse variation

For Teachers 8th - 11th
Students identify inverse variations. In this inverse variation instructional activity, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the...
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Worksheet
Curated OER

Finding the Inverse from a List or Function

For Students 8th - 12th
For this algebra worksheet, students reverse the numbers of a list to determine the inverse or start with a function to find the inverse. There are 4 questions.
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Lesson Plan
Curated OER

Inverse Linear Functions

For Teachers 8th - 10th
Students solve for the inverse functions. In this algebra lesson, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
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Lesson Plan
Illustrative Mathematics

The Parking Lot

For Teachers 8th - 12th Standards
Use the real-world cost of parking a car to demonstrate the properties of a function. The resource describes to learners how much it is to park in a certain lot. It is up to your number crunchers to complete a table of minutes and...
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Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
In this math worksheet, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Unit Plan
Intel

Choreographing Math

For Students 8th - 12th Standards
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
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Worksheet
Curated OER

Functions

For Students 8th - 12th
In this functions worksheet, students distinguish 9 relations as being a function. Students also complete 6 function problems by substituting given information.
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Worksheet
Curated OER

Domain and Range

For Students 7th - 9th
For this domain and range worksheet, students write the definitions for relation, function, domain and range. They then find the domain and range of 7 sets of ordered pairs. Finally, students answer 4 questions regarding inverse...
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Activity
Illustrative Mathematics

Rainfall

For Teachers 8th - 12th Standards
Ideal for use as an introduction to the idea of inverse functions, this activity investigates rainfall as a function of time. Learners use the data displayed in a table of values to analyze the function and its inverse, including why the...
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Activity
Illustrative Mathematics

Invertible or Not?

For Teachers 8th - 12th Standards
What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...
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Activity
Illustrative Mathematics

Exponentials and Logarithms II

For Teachers 8th - 12th Standards
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
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Worksheet
Curated OER

Chapter 10-Relations and Functions, Practice Test

For Students 8th - 10th
In this intermediate algebra learning exercise, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.
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Worksheet
Curated OER

Inverse Variation

For Students 8th - 10th
In this algebra worksheet, students find the inverse of an equations. They graph their solutions and analyze it. There are 8 questions.
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Lesson Plan
Curated OER

Direct and Inverse Variation

For Teachers 8th
Eighth graders participate in two data collection activities that involve direct and inverse variation. In the pre-assessment, 8th graders categorize numerical, graphical, and verbal representations as linear or nonlinear and determine...
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Assessment
Inside Mathematics

Party

For Teachers 8th Standards
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
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Lesson Plan
Curated OER

ART PROJECT

For Teachers 8th
Eighth graders, after researching the properties of graphs of conic sections, absolute value and inverse relations, make a drawing of precise functions and relations from a specified list of equations. The final design should analyze the...

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