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Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
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Lesson Plan
Curated OER

Trigonometry

For Teachers 10th - 12th
Students investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...
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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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Worksheet
Curated OER

Trigonometry Worksheet: Addition Formula

For Students 9th - 12th
In this trigonometry learning exercise, students solve 2 problems involving the addition formula.  Students find the sine of a given angle using the addition formula.
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Lesson Plan
EngageNY

From Circle-ometry to Trigonometry

For Students 10th - 12th Standards
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
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Interactive
CK-12 Foundation

Unit Circle: Medieval Castle Defense

For Students 10th - 12th Standards
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
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Worksheet
Curated OER

Ten Trigonometric Review Problems - Calculator Required

For Students 11th - Higher Ed
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
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Worksheet
Curated OER

Solve for the Arc Length Problems

For Students 11th - Higher Ed
In this arc length worksheet, students solve for the arc length for four angles.  Three of the angles are given in degrees while the other angle length is given in radians.  The solutions are not provided.
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Activity
Teach Engineering

Stay in Shape

For Teachers 7th - 9th Standards
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
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Worksheet
Curated OER

Angles and Angle Measure

For Students 10th - 12th
In this trigonometry activity, students convert between degrees and radians. They use the unit circle to identify the measure of angles. There are 28 questions with an answer key.
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Worksheet
Curated OER

Trigonometric Table

For Students 11th
In this trigonometry worksheet, 11th graders convert between degrees and radians using a conversion chart. They use the unit circle to help visualize the relationship between radians and degrees. There is an answer key.
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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
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
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Worksheet
Curated OER

Inverse Trig Functions

For Students 10th - 11th
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
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Worksheet
Curated OER

Inverse Trigonometric Values

For Students 11th - 12th
In this trigonometry worksheet, students solve functions using the properties of inverse trig. They write out the 6 trigonometric functions in standard position and solve for missing angles. There are 15 questions.
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Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
In this trigonometry/Algebra II learning exercise, students use convert between radian and degree measure, find the value of trigonometric functions, and show that given relationships are true. The three page learning exercise contains...
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Lesson Plan
Curated OER

Algebra 2/Trigonometry Regents Exam

For Teachers 11th - 12th
Students review for the Regents Exam. In this math lesson plan, students review core concept for the Regents exam by working a variety of problems. A printable worksheet is provided.
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Lesson Plan
EngageNY

Special Triangles and the Unit Circle

For Teachers 11th - 12th Standards
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
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Worksheet
Curated OER

Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, high schoolers solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded...
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Lesson Plan
Curated OER

Applications of Triangles

For Teachers 9th - 11th
Students apply the properties of a right triangle. In this triangle instructional activity, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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Lesson Plan
Curated OER

Unit Circle Lesson Plan

For Teachers 11th - 12th
Students identify different locations on a unit circle. For this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
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Worksheet
Curated OER

Graphing Trig Functions

For Students 9th - 11th
In this graphing trig functions worksheet, learners find the amplitude of each function. They graph the function. This four-page worksheet contains 12 problems. Answers are provided on the last two pages.
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Worksheet
Curated OER

Trigonometric Functions

For Students 11th - 12th
In this trigonometric functions worksheet, students solve and complete 35 various type of problems. First, they find the values for all six trig functions that pass through the given points. Then, students prove different identities as...
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Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...

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