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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
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
Curated OER

Parabolas and Inverse Functions

For Teachers 9th - 12th Standards
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
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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
Virginia Department of Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
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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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Lesson Plan
Curated OER

Functions and Inverses

For Teachers 9th - 12th Standards
High schoolers solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
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Lesson Plan
Curated OER

Exercise Set 5.4: Inverse Trigonometric Functions

For Teachers 9th - 12th
In this trigonometric functions worksheet, students solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. Students graph inverse trigonometric functions.
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Lesson Plan
Curated OER

Calculus Inverse Derivative

For Teachers 9th - 12th Standards
Students solve equations using a given derivative. In this calculus lesson plan, students identify the rise of fall of each function. They use the calculator to find the derivative.
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Worksheet
Curated OER

Functions and Relations

For Students 9th - 11th
In this algebra worksheet, students calculate the solution to a function using substitution. They determine if a relation is a function or not. There are 34 questions on this test about Functions.
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Lesson Plan
Curated OER

Algebra Nomograph

For Teachers 9th - 12th Standards
Investigation of a nomograph teaches young scholars 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.  Young scholars make a scatter...
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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
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Curated OER

Direct, Inverse and Joint Variation

For Teachers 11th
Eleventh graders identify, create and solve word problems involving inverse variation. In this algebra lesson plan, 11th graders solve problems using direct, inverse and joint variation. They identify problems using these methods.
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Worksheet
Curated OER

Worksheet 6.7 MT-A141 PreCalculus

For Students 10th - 11th
In this PreCalculus worksheet, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
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Worksheet
Curated OER

Chapter 7 Review: Radical Notation

For Students 10th - 12th
In this radical notation worksheet, students write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page worksheet contains...
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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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Assessment
Illustrative Mathematics

Households

For Students 9th - 12th Standards
Use an inverse linear function to interpolate a point. Presented with the number of households over a period of year, pupils find a linear function that will be a model. Class members determine the inverse of the linear function and use...
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Lesson Plan
Curated OER

Inverse Trigonometric Functions (Review)

For Teachers 9th - 12th
Students investigate the concepts related to inverse trigonometric functions and then review the graphs for the inverse. They apply the functions using the context of the example problems provided in the lesson. The lesson includes...
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Assessment
EngageNY

End-of-Module 3 Assessment Task

For Teachers 11th - 12th Standards
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
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AP Test Prep
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Flipped Math

Calculus AB/BC Unit 3 Review: Differentiation

For Students 10th - 12th
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 2

For Teachers 11th - 12th Standards
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses, then...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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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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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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