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Worksheet
Center for Innovation in Mathematics Teaching

Trigonometry

For Students 9th - 12th Standards
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
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Interactive
CK-12 Foundation

Translating Sine and Cosine Functions: Translating Sine

For Students 10th - 12th Standards
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
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Worksheet
Curated OER

Equations of Graphs

For Students 9th
In this equations of graphs worksheet, 9th graders solve and graph 10 different problems that include various types of graphs. First, they determine the equation for each graph shown at the top of the sheet. Then, students determine on...
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Lesson Plan
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NASA

Earth, Can You Hear Me Now?

For Teachers 10th - 12th Standards
How long did you say? Class groups plot the distances between Earth and Mars and determine the trigonometric function that models the data. Using a calculator, they graph the function to determine when the distance and communication...
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Worksheet
Curated OER

Trigonometric Graphs

For Students 12th
In this Trig worksheet, 12th graders identify and differentiate between trig graphs. They identify phase, translation and solve equations dealing with angles.
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Worksheet
Curated OER

Interpolating Function

For Students 12th - Higher Ed
For this interpolating function worksheet, learners solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
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Worksheet
Curated OER

Algebra Skills Sections 23

For Students 9th - 12th
In this algebra skills worksheet, students solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.
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Worksheet
Curated OER

A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus worksheet, learners complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others are...
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Worksheet
Curated OER

Sketch, Solve, and Find Values of Circular Trigonometric Functions

For Students 11th - Higher Ed
In this trigonometric functions activity, students sketch trigonometric functions, solve equations, and find values within given intervals.
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Lesson Plan
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 
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Lesson Plan
Curated OER

Trig Review

For Teachers 12th
Twelfth graders review the 6 identities of trigonometry. In this trig lesson, 12th graders review the importance of the right triangle as it relates to sine, cosine and tangent. They review the basic trig identities and how it relates to...
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Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 12th
Twelfth graders solve derivatives using trig substitution. In this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
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Lesson Plan
Curated OER

Integration Involving Inverse Trig Functions

For Teachers 12th - Higher Ed
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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Worksheet
Curated OER

Differentiation Computations

For Students 11th
In this calculus worksheet, 11th graders solve problems using differential equations and computations. They apply properties of trig functions and simplify their answers. There are 9 questions.
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Worksheet
Curated OER

Inverse Functions

For Students 9th
In this inverse functions worksheet, 9th graders solve and graph 10 different problems that include the inverse of various functions. First, they determine if the coordinates given is the inverse of a function given. Then, students use...
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Lesson Plan
Curated OER

Double-Angle and Half-Angle Formulas

For Teachers 12th - Higher Ed
In this college level Pre-Calculus worksheet, students use the double-angle and half-angle formulas to evaluate trigonometric expressions and solve trigonometric equations. The six page worksheet contains fifty-six problems. Answers are...
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Lesson Plan
Curated OER

Unit Circle

For Teachers 10th - 12th
Students investigate the different properties of a unit circle. In this geometry lesson, students identify the six different values of trigonometric functions. They solve trigonometric equations using values derived from the unit circle.
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Unit Plan
Radford University

The Puppy’s Empire

For Teachers 9th - 12th Standards
Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...
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Worksheet
Curated OER

Calculus Worksheet

For Students 12th - Higher Ed
In this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...
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Worksheet
Curated OER

MT-141 Precalculus - Worksheet 6.4(b)

For Students 10th - 11th
In this precalculus worksheet, learners complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
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Worksheet
Curated OER

Pre-Calculus Test Chapter 5: Identities

For Students 10th - 12th
In this identities worksheet, learners match equivalent expressions containing sine, cosine, and tangent.  They solve equations, find intervals, and determine all solutions to an interval.  Students prove given identities.  This...
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Lesson Plan
Curated OER

Investigating the Idea of Sin

For Teachers 5th
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways...
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Worksheet
Curated OER

Even More Calculus

For Students 12th
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts.  The twenty-two page worksheet contains explanation of the topic,...
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Worksheet
Curated OER

Graphing

For Students 11th - 12th
In this graphing learning exercise, students solve and complete 8 different types of problems. First, they graph each set of axes completely. Then, students label the axes and shown a table of their results. In addition, they determine...