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Lesson Plan
Curated OER

Worksheet 10, Functions and Inverses of Functions

For Teachers 10th - 11th
In this algebra worksheet, learners find the domain and range of composite functions. They use graphics from an unspecified text to create the graph of the inverse of the drawn function.
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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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Lesson Plan
Illustrative Mathematics

Accuracy of Carbon 14 Dating II

For Teachers 9th - 12th Standards
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and ranges of...
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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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Lesson Plan
Curated OER

Very Varied - Inverse variation

For Teachers 8th - 11th
Students identify inverse variations. In this inverse variation lesson, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse variation...
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Worksheet
Curated OER

Derivatives of Inverse Functions

For Students Higher Ed
For this derivatives worksheet, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This worksheet includes five short...
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Worksheet
Curated OER

Finding the Inverse from a List or Function

For Students 8th - 12th
In this algebra worksheet, students reverse the numbers of a list to determine the inverse or start with a function to find the inverse. There are 4 questions.
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Worksheet
Curated OER

Algebra II Test Chapter 3: Slope & Functions

For Students 10th - 12th
For this slope and functions worksheet, learners determine the slope of a line.  They identify functions and determine an equation of a line that is parallel or perpendicular to given points.  This three-page worksheet contains 21 problems.
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Worksheet
Curated OER

Graphing Functions

For Students 9th - 12th
In this graphing functions worksheet, students write functions in logarithmic and exponential forms.  They evaluate logarithms and determine the inverse of a function.  Students graph functions.  This six-page worksheet contains 20...
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Worksheet
University of North Texas

Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this instructional activity provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets...
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Worksheet
Curated OER

Inverse of a Function

For Students 10th
In this inverse of function worksheet, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses. Then, students...
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Lesson Plan
Curated OER

Types of Functions

For Teachers 11th - Higher Ed
Learners graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
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Interactive
Curated OER

Review of Calculus BC I

For Students 10th - 12th
For this review worksheet, students match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given equations.  This two-page...
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Lesson Plan
Curated OER

Reciprocals of Quadratic Functions

For Teachers 11th
Eleventh graders investigate inverse functions.  In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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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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Interactive
Curated OER

Differentiation of Trigonometry Functions

For Students 9th - 11th
In this trigonometry worksheet, students differentiate the different trigonometric identities. They derive the sine, cosine, tangent and inverses of these trig identities. There are 18 questions with an answer key.
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Lesson Plan
Curated OER

Derivatives Of The 6 Inverse Trig Functions

For Teachers 10th - 12th
Students investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the lesson. Students can take part in using the example problems for independent...
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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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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Worksheet
Curated OER

Discussion Sheet 9: Functions and Limits

For Students Higher Ed
In this function and limits activity, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page activity contains five multi-step problems.
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Worksheet
Curated OER

Inverse of Logarithms

For Students 11th - 12th
In this algebra worksheet, learners 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
1
1
Curated OER

Temperature Conversions

For Teachers 9th - 12th Standards
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
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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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Lesson Plan
1
1
Curated OER

Operating on Matrices

For Teachers 9th - 12th Standards
Learners investigate matrices by exploring addition, subtraction and multiplication of matrices.  Students find the determinant and inverse of a matrix.  The lesson includes a set of practice problems

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