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Worksheet
Curated OER

Composite Functions and Inverse Functions

For Students 8th - 12th
For 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, students 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
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, students 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
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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Lesson Plan
Curated OER

Very Varied - Inverse variation

For Teachers 8th - 11th
Students identify inverse variations. In this inverse variation lesson, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse variation...
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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 plan, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
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Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
For this math worksheet, students 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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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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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

Domain and Range

For Students 7th - 9th
In 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 relations...
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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 activity, 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 instructional activity, 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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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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Lesson Plan
Virginia Department of Education

Determining Direct Variation

For Teachers 8th - 11th Standards
Once learners realize what direct variation is, they see it's just a type of linear function. The lesson poses a general question that leads to the creation of the y = kx formula. The resource includes discussion prompts and ideas for...
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Lesson Plan
Curated OER

Skate Party

For Teachers 6th - 8th
Learners use the Frayer model during problem solving. In this problem solving lesson, they examine multiple methods of data collection to solve real world problems. Resources are provided.
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Lesson Plan
Curated OER

Constructing and Solving Linear Equations

For Teachers 8th - 11th
Students construct and solve linear equations. In this algebra lesson, students solve equations and graph lines using the slope. They identify the different parts of an equation including the leading coefficient.
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Lesson Plan
02 x 02 Worksheets

Factoring

For Teachers 8th - 11th Standards
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
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Printables
Virginia Department of Education

Middle School Mathematics Vocabulary Word Wall Cards

For Teachers 5th - 9th
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....