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Activity
Texas Instruments

Texas Instruments: Computing by Degrees!

For Teachers 9th - 10th Standards
In this activity, students use the calculator to solve trigonometry problems using sine, cosine, and tangent. They also find inverses of trigonometric functions.
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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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Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Funciones Trigonometricas E Inversas

For Students 9th - 10th Standards
Learn about trigonometric functions and their inverses with this interactive unit.
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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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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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Unit Plan
CK-12 Foundation

Ck 12: Exact Values for Inverse Sine, Cosine, and Tangent

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Find all angles on the unit circle matching exact trig ratios. Resource includes examples, videos, and practice problems.
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Unit Plan
Khan Academy

Khan Academy: Intro to Inverse Trig Functions

For Students 9th - 10th Standards
Learn about arcsine, arccosine, and arctangent, and how they can be used to solve for a missing angle in right triangles.
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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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Unit Plan
Math Is Fun

Math Is Fun: Sine, Cosine, Tangent

For Students 9th - 10th
Students learn about the sine, cosine, and tangent functions. The tutorial consists of notes, examples, and practice problems to check for comprehension.
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Product to Sum Formulas for Sine and Cosine

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Examples of how to transform a product of trigonometric functions into a sum of trigonometric functions
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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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Activity
Texas Instruments

Texas Instruments: Light at a Distance: Distance and Light Intensity

For Teachers 9th - 10th
In this activity, students can use a light sensor to record the light intensity at various distances from a bulb. They will compare the data to an inverse square and a power law model.
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Activity
Texas Instruments

Texas Instruments: Mm Cas 2002 Exam 1 Part 1 : Sample Solutions Q1 & Q7

For Teachers 9th - 10th
Students use the Derive software to solve problems on trigonometric functions.
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Activity
Texas Instruments

Texas Instruments: Geometric Representation of Trig Functions

For Teachers 9th - 10th Standards
Using similar triangles, a relationship is established between the six trigonometric functions of an angle and simple line segments. These relationships are then confirmed using line segment measurement capabilities of the graphing...
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Handout
Other

Radford University: One to One and Inverse Functions

For Students 9th - 10th Standards
This site from the Radford University provides a concise mathematical definition of one-to-one and inverse functions.
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Activity
Other

Karl's Calculus Tutor: Trigonometric Functions

For Students 9th - 10th Standards
Great application of trig and introduction to the trig functions. Also found here are the Law of Sines and Law of Cosines as well as other trig topics to review.
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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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Handout
University of Guelph

University of Guelph: Trigonometry Tutorial

For Students 9th - 10th Standards
A guide to calculating trigonometric functions.
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Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
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Unknown Type
Paul Dawkins

Paul's Online Notes: Trig Cheat Sheet [Pdf]

For Students 9th - 10th Standards
A trigonometry "cheat sheet" to use as a reference when completing trigonometry homework. Lists basic facts, properties, identities, formulas, and inverse trigonometric functions.
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Activity
Other

Technical Tutoring: Trigonometry: The Very Fast Review

For Students 9th - 10th Standards
This site is a quick review of the functions and identities in trigonometry. Very helpful site.

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