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Worksheet
Curated OER

Worksheet 1 - Polynomials, Functions, Rates

For Students Higher Ed
In this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials, distance,...
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Lesson Plan
K20 LEARN

ADA Accessibility: Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Ramp up using trigonometric ratios. After receiving a request to check school ramps to verify they meet ADA requirements, groups calculate the angle of the incline on ramps on campus. They report their findings via a letter to the...
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Assessment
Mt. San Antonio Collage

Test 2: Rationals, Exponentials, and Logarithms

For Students 9th - 12th Standards
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range. 
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Interactive
Curated OER

Inverse Trigonometric Functions-Using a Calculator

For Students 10th
In this geometry worksheet, 10th graders use a calculator to evaluate the inverse of a trigonometric function. The one page interactive worksheet contains ten questions. Answers and hints are included. 
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Worksheet
Curated OER

Inverse of Logarithms

For Students 11th - 12th
In this algebra worksheet, students define inverse functions and solve for the inverse of logarithmic equations. There are 20 logs and graphing questions with an answer key.
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Lesson Plan
Curated OER

US Households

For Teachers 9th - 12th Standards
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
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Assessment
Illustrative Mathematics

Temperature Conversions

For Students 9th - 12th Standards
Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition notation...
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Worksheet
Curated OER

Inverse Relations and Functions

For Students 9th - 11th
In this algebra worksheets, students find the inverse of a given function by switching the y with the x. They graph the different functions and identify the difference. This learning exercise includes thoughtful questions and worked...
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Lesson Plan
Curated OER

Inverse Linear Functions

For Teachers 8th - 10th
Students solve for the inverse functions. In this algebra instructional activity, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
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Interactive
Curated OER

Inverse Trig Functions: Chain Rule

For Students 9th - Higher Ed
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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Worksheet
Curated OER

Differentiation of Inverse Functions

For Students 12th - Higher Ed
In this calculus worksheet, students solve three problems regarding the differentiation of inverse functions.  Students are also asked to show that a function is one to one and to evaluate functions at a given value.
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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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Worksheet
Curated OER

Complex Analysis: Linear Transformations, Inversion Mappings

For Students Higher Ed
In this transformation worksheet, students identify a series of transformations and sketch them. They use inversion mapping to establish a one-to-one correspondence between nonzero points. This four-page worksheet contains...
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Lesson Plan
Curated OER

Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. In this pre-calculus lesson plan, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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Lesson Plan
Curated OER

Power Function Inverses

For Teachers 9th - 12th Standards
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
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Lesson Plan
Curated OER

Inverse Trigonometric Functions (Review)

For Teachers 11th - Higher Ed
Learners discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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Lesson Plan
Curated OER

Exponential Reflections

For Teachers 9th - 12th Standards
Explore the natural log function through the investigation of inverse of the exponential functions by plotting the inverse of the exponential solution points.  Young scholars examine the results to determine that the inverse is the...
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Worksheet
Curated OER

Graphing

For Students 9th
In this graphing worksheet, 9th graders solve and graph 8 different problems that include defining various terms related to graphing. First, they label the quadrants in a coordinate plane and name the quadrant for each listed ordered...
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Lesson Plan
Curated OER

WINDMILL POWER

For Teachers 9th - 12th
Students study operations with real numbers using mental computation or paper-and-pencil calculations. They judge the reasonableness of numerical computations and their results. They set up and solve proportions for direct and inverse...
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Worksheet
Curated OER

Inverse Relations

For Students 11th
In this Algebra II learning exercise, 11th graders graph functions on a coordinate plane. Students determine values for which the function is undefined and explore reciprocal functions. The one page learning exercise contains thirty-two...
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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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Lesson Plan
1
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West Contra Costa Unified School District

Introduction to Logarithms

For Teachers 9th - 12th Standards
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
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Lesson Plan
Alabama Learning Exchange

Logarithms: Undo the Exponential

For Teachers 9th - 12th Standards
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
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Lesson Plan
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...

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