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Interactive
CK-12 Foundation

Inverses by Mapping: Inverse Functions

For Students 10th - 12th Standards
Map your way to successfully understanding inverse functions. Pupils use an interactive map to investigate how changes in the graph of a function affect the graph of its inverse. The results of the activity lead to the conclusion that...
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Worksheet
Curated OER

Inverse Functions

For Students 9th
In this inverse functions worksheet, 9th graders solve and graph 10 different problems that include the inverse of various functions. First, they determine if the coordinates given is the inverse of a function given. Then, students use...
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Worksheet
Curated OER

Inverse Functions and Relations

For Students 11th
In this inverse functions and relations worksheet, 11th graders solve and complete 12 different problems. First, they find the inverse of each relation and determine whether the inverse is a function. Then, students find the inverse of...
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Lesson Plan
Curated OER

Exercise Set 1.5: Inverse Functions

For Teachers 11th - Higher Ed
In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
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Worksheet
Curated OER

The Algebra and Geometry of Inverse Functions

For Students Higher Ed
In this inverse functions instructional activity, students read a tutorial and complete fourteen fill in the blank style practice problems. Students read a tutorial about the composition of functions. They answer three fill in the blank...
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Worksheet
Curated OER

Inverse Functions

For Students 12th - Higher Ed
In this inverse functions worksheet, students solve and complete 3 sets of different problems. First, they find the expression and simplify. Then, students find the value of a given variable when it is the inverse in the function. They...
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Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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Worksheet
Curated OER

Inverse Functions in Trigonometry

For Students 9th - 10th
For 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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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
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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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, students find the first derivative of the inverse of sine function in a lecture style lesson.
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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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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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Worksheet
Curated OER

Inverse Trig Functions

For Students 10th - 11th
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
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Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
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Assessment
Concord Consortium

You Are What You Drive

For Students 11th - 12th Standards
Grab the wheel in learning about functions. A short performance task challenges young mathematicians to develop a function that describes the cars eight people drive. They consider whether the inverse of the function exists. If not, they...
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Unit Plan
Mathematics Vision Project

Module 7: Trigonometric Functions, Equations, and Identities

For Students 10th - 12th Standards
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
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Worksheet
Curated OER

Inverse Trigonometric Values

For Students 11th - 12th
In this trigonometry worksheet, students solve functions using the properties of inverse trig. They write out the 6 trigonometric functions in standard position and solve for missing angles. There are 15 questions.
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Lesson Plan
Curated OER

Algebra Nomograph

For Teachers 9th - 12th Standards
Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Students make a scatter plot of...
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Interactive
CK-12 Foundation

Basic Inverse Trigonometric Functions: Ladder

For Students 10th - 12th Standards
Lean a ladder against the wall to create an angle. Class members use an interactive application to determine the angle a ladder makes with the ground. Individuals respond to five questions using inverse trigonometric functions.
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...

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