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Worksheet
Curated OER

Twelve Inverse Variation Problems

For Students 10th - 12th
In this inverse variation worksheet, students solve twelve inverse variation problems.  Five of these problems are multiple choice and seven are free-response problems.  this worksheet is designed are preparation for the Math Regents Exam.
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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

Solve Four Systems of Equations Using Inverse Matrices

For Students 11th - Higher Ed
In this inverse matrices worksheet, students solve four systems of equations using inverse matrices.  Examples and explanations are provided.
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Worksheet
Curated OER

Topic 4.5 - Identity and Inverse Matrices

For Students 7th - 9th
In this inverse matrix worksheet, students find the inverse of 9 matrices. If the inverse does not exist, they explain why. Students then determine whether each of 4 inverse statements is true or false.
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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 instructional activity, students find the first derivative of the inverse of sine function in a lecture style instructional...
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Worksheet
Curated OER

Draw the Inverse for Ten Graphed Functions

For Students 11th - Higher Ed
In this inverse function worksheet, students draw the inverse function for ten given graphs.  Inverses may not exist for all functions.
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Lesson Plan
Curated OER

Four Steps to Find Inverse Functions

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

The Inverse Trigonometric Functions

For Students 12th
In this Calculus worksheet, 12th graders determine the derivative of inverse trigonometric functions and determine integrals.  The one page worksheet contains seven problems.  Answers and solutions are provided. 
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Lesson Plan
Curated OER

Pass or No Pass?

For Teachers 11th - 12th
Students explore the concept of the inverse function. They learn that the inverse of a function is a reflections over the line y=x. Students learn how to determine if a function has an inverse. They discuss how changing the domain of a...
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Worksheet
Curated OER

Worksheet #2.7 MT-A141 PreCalculus

For Students 11th - 12th
Get ready for Calculus! The class solves equations, graphs a relation defined parametrically, and gives the parametric equation for the inverse relation. They then identify the geometric relationship between two graphs.
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Lesson Plan
Curated OER

Discovering Ohm's Law

For Teachers 11th - 12th
Connect math with science! Pupils apply properties of Ohms Law as they solve problems and identify the inverse relationship of a function. They analyze the shape of the graph of an inverse function and use it to make predictions.
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Lesson Plan
Curated OER

Secret Messages and Matrices

For Teachers 9th - 11th
Learners use matrices and linear equations to decrypt a secret message. They receive a part of the encoded message to decode by means of inverse matrices. Pupils write critiques about the activity.
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Worksheet
Curated OER

Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
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Worksheet
Curated OER

Math Honors 2: Semester 1 Review

For Students 10th - 12th
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
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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
EngageNY

Restricting the Domain

For Teachers 11th - 12th Standards
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
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Assessment
Illustrative Mathematics

Latitude

For Students 9th - 12th Standards
The greater the latitude, the less of the Earth is north. Scholars graph the relationship between the latitude and the percentage of the Earth that is north of the latitude. Using the graph and the table, class members interpret values...
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Assessment
Illustrative Mathematics

Rainfall

For Students 9th - 12th Standards
Find the how long it has been raining based upon the amount of rainfall. Scholars analyze a table of the amount of rainfall as a function of time. Pupils first determine whether the function is invertible, then they find and interpret...
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Worksheet
Curated OER

Twenty-Two Direct, Inverse, and Joint Variation Problems

For Students 8th - 11th
For this variation worksheet, students solve twenty-two direct, inverse, or joint variation problems.  Answers to the first fifteen problems are provided.
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Worksheet
Curated OER

Matrix Equations Not Requiring Inverses

For Students 9th - 11th
In this matrix equations worksheet, students solve matrix equations involving addition, subtraction, and multiplication.  This four-page worksheet contains 20 problems.  Answers are provided on the last two pages.
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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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Worksheet
Curated OER

Inverse Reciprocals Quiz

For Students 10th - 12th
In this algebra learning exercise, students determine the inverse and reciprocal for 6 problems using a table and a graph.
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Worksheet
Curated OER

Inverse Matrices

For Students 9th - 11th
In this algebra worksheet, students solve matrices using the inverse property. They solve the matrices using multiplications. There are 18 questions with an answer key.
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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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