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Lesson Plan
Alabama Learning Exchange

Alex: "Woody Sine"

For Teachers 9th - 10th
The young scholars will discover the shape of the sine function without creating a t-chart. The students will create a sine function using toothpicks. The young scholars will then discover how the amplitude (height) and the period...
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Activity
Other

Brown Math: Remembering Trig Identities

For Students 9th - 10th Standards
Faced with a large number of trigonometric identities, students tend to try to memorize them all. This site the emphasis is on understanding how the functions work and on memorizing only about a half dozen of them - all the others work...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg Seven Circles Iii

For Teachers 9th - 10th Standards
In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Reciprocal Identities

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Find the reciprocal of trigonometric functions
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Inverse Function Graph 1 [Pdf]

For Students 9th - 10th Standards
Students are given the graph of a function and are asked to sketch the inverse. The resource consists of an enlarged printable version of the function graph available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Inverse Function Graph 2 [Pdf]

For Students 9th - 10th Standards
Learners are given the graph of a function and are asked to sketch the inverse. The resource includes an enlarged printable version of the function graph available in PDF format.
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Activity
Other

Universite De Nice Sophia Antipolis: Graphic Inverse

For Students 9th - 10th Standards
An introduction to the graphic inverse with many examples the student can work on-line.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Inverse Function Graph 3 [Pdf]

For Students 9th - 10th Standards
Students use the given graph to sketch the inverse function. The math graph is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Inverse Function Graph 4 [Pdf]

For Students 9th - 10th Standards
Students use the given graph to sketch the inverse function. The math graph is available in PDF format.
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Activity
Virginia Commonwealth University

Virginia Commonwealth University: Inverse Function

For Students 9th - 10th Standards
This page from the Virginia Commonwealth University is a slide with a short definition of the inverse function and its' derivative. It provides formulas.
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Unknown Type
That Quiz

That Quiz: Trigonometry

For Students 9th - 10th Standards
You can practice evaluating the six trigonometric functions and their inverse in radians or degrees. Four different levels are provided and it also tracks the number of correct answer.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Rainfall

For Teachers 9th - 10th Standards
In this task, students are asked to analyze a function and its inverse when the function is given as a table of values. In addition to finding values of the inverse function from the table, they also have to explain why the given...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Graphs of Compositions

For Teachers 9th - 10th Standards
This task addresses an important issue about inverse functions. In this case, the function f is the inverse of the function g but g is not the inverse of f unless the domain of f is restricted. Aligns with F-BF.A.1.c.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Your Father

For Teachers 9th - 10th Standards
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
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Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Funciones Inversa

For Students 9th - 10th Standards
In Spanish. In this interactive unit learn how to recognize a function from a graph, determine graphically and analytically the domain and the range and find the inverse of a function.
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Handout
Math Medics

S.o.s. Math: The Derivative

For Students 9th - 10th Standards
Very nice lesson on taking the derivative of a function and its inverse.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Familia De Funciones. Tipos Y Operaciones

For Students 9th - 10th Standards
In this unit you will work interactively with family of lines, parabolas, radical functions and trigonometric functions. You will also learn about operations with function, composition of functions and the inverse of a function.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Temperature Conversions

For Teachers 9th - 10th Standards
In this task involving temperature conversions, students compose and solve functions. Unit conversion problems provide a rich source of examples for the composition of functions and for inverses. Aligns with F-BF.A.1.c and F-BF.B.4.a.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Us Households

For Teachers 9th - 10th
For this task, young scholars are asked to find a linear function which models the number of households in the U.S. as a function of the year. They are also to construct and use an inverse function to model the context, and interpret...
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Activity
Texas Instruments

Texas Instruments: Learning Pre Calculus With the Ti 89

For Teachers 9th - 10th
See examples of how to use the TI-89 in Pre-Calculus. Example topics include equations with radicals, trigonometric identities, composition of functions, and inverse functions.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Latitude

For Teachers 9th - 10th Standards
For this task, students are presented with data about latitude and the percentage of the Earth's surface north of each latitude line. They are to use this data to sketch a graph, analyze it, and build an understanding of an invertible...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe.5 Triangles Inscribed in Circle

For Teachers 9th - 10th Standards
In this task, students use ideas about linear functions to determine when certain angles are right angles. They use the fact that two lines (if not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals, as...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if the Parking Lot

For Teachers 9th - 10th Standards
In this task about parking lot rates, students investigate what a function is and explain their reasoning. Aligns with F-IF.A.1.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Temperatures in Degrees Fahrenheit and Celsius

For Teachers 9th - 10th
In this task involving temperature conversions, students construct a linear function given two input-output pairs, investigate the inverse of a linear function, and reason about quantities and/or solving a linear equation. Aligns with...

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