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Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 10th - 12th Standards
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
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Worksheet
1
1
Key Curriculum Press

Applications of Exponential Functions

For Students 10th - 12th Standards
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would...
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Lesson Plan
EngageNY

Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
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Interactive
CK-12 Foundation

Parametric-Inverses: Graph Matching

For Students 11th - Higher Ed
Perform a switch to find the inverse of a parametric equation. Pupils match four parametric functions with the graph of the their inverses. Using the graphs, learners determine whether particular points are on the original parametric...
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Worksheet
Curated OER

Inverse Functions

For Students 9th - 10th
In this inverse function worksheet, students write inverse functions and interpret the results. This one-page worksheet contains 1 problem.
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Worksheet
Curated OER

Inverse Functions

For Students 10th - 12th
In this inverse functions worksheet, students find the inverse of each given function.  This one-page worksheet contains 3 problems.
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Worksheet
Curated OER

Inverse Functions

For Students 9th - 11th
In this inverse functions learning exercise, students find the inverse of given functions. This one-page learning exercise contains 2 problems.
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Worksheet
Curated OER

Inverse Functions in Trigonometry

For Students 9th - 10th
In this inverse functions in trigonometry worksheet, students find the missing angles in eight right triangles, given the length of two sides.
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Lesson Plan
1
1
EngageNY

Revisiting the Graphs of the Trigonometric Functions

For Teachers 11th - 12th Standards
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
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Worksheet
Curated OER

Lab 5: Inverse Functions and Calculus

For Students Higher Ed
Learners identify graphical relationships between a function and its inverse using a graphing calculator. They begin by declaring the function f(x) with formula definition sin(x), then plot this function. To finishing the lab, they check...
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Lesson Plan
Curated OER

Worksheet 12: Functions

For Teachers 11th - Higher Ed
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
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Lesson Plan
EngageNY

Inverses of Logarithmic and Exponential Functions

For Teachers 11th - 12th Standards
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
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Assessment
Mt. San Antonio Collage

Quiz 2: Types of Functions

For Students 9th - 12th Standards
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 
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Worksheet
Curated OER

Inverse Functions 8-8

For Students 9th - 10th
In this inverse function worksheet, students find the inverse function of given values. This two-page worksheet contains 12 multi-step problems.
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Lesson Plan
Curated OER

Introduction to Inverse Functions

For Teachers 10th - 12th
Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
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Worksheet
Curated OER

Math 155: Worksheet 9 - Inverse Function

For Students Higher Ed
In this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
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Lesson Plan
Curated OER

Calculator Curiosities: Order of Operations, Domain, And Inverse Functions

For Teachers 11th - Higher Ed
In this math worksheet, students investigate the concepts of order of operations, domains, and inverse functions while using a calculator.
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Lesson Plan
Curated OER

Introduction to Graphical and Algebraic Inverses

For Teachers 9th - 11th
Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...
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Lesson Plan
Curated OER

Differentiation of Inverse Functions

For Teachers 11th - Higher Ed
Students explore the concept of differentiating inverse functions. In this differentiating inverse functions lesson plan, students find the first derivative of the inverse of sine function in a lecture style lesson plan.
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Lesson Plan
Curated OER

Four Steps to Find Inverse Functions

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

Worksheet 10: Continuous Functions

For Teachers 12th - Higher Ed
In this math worksheet, students answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.
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Handout
2
2
Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
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Worksheet
Curated OER

Quiz 2: Inverse Functions

For Students Higher Ed
In this inverse function worksheet, students determine the inverse function and identify the limits of given functions. This two-page worksheet contains four problems.
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Lesson Plan
Howard County Schools

Drawing Inverses

For Teachers 9th - 12th Standards
An Algebra II instructional activity draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, high schoolers graph the logarithmic function. The plan...

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