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Lesson Plan
Curated OER

Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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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
EngageNY

Using Trigonometry to Find Side Lengths of an Acute Triangle

For Students 9th - 10th Standards
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems. 
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Lesson Plan
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EngageNY

Revisiting the Graphs of the Trigonometric Functions

For Teachers 11th - 12th Standards
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
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Lesson Plan
EngageNY

Law of Sines

For Teachers 11th - 12th Standards
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
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Lesson Plan
EngageNY

Sine and Cosine of Complementary Angles and Special Angles

For Students 9th - 10th Standards
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous instructional activity in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also...
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Assessment
Concord Consortium

Broken Spreadsheet II

For Students 11th - 12th Standards
Work in reverse with the product becoming the given. Using a spreadsheet image of the graph of a trigonometric function, young scholars investigate methods of creating spreadsheet data that results in the given graph. The catch? The data...
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Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
Students explore the concept of sine. In this sine instructional activity, 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...
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Lesson Plan
Alabama Learning Exchange

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Students explore the concept of sine and cosine.  In this sine and cosine lesson, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the graph. ...
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Lesson Plan
Curated OER

Introduction to Law of Sines

For Teachers 10th - 12th
Students solve problems using the law of sines.  In this sines lesson, students work in groups and individually to solve problems using the law of sines.  They identify real life problems that require the use of the law of sines.  Real...
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Lesson Plan
Curated OER

Trig is SOH Easy!

For Teachers 7th - 10th
Pupils derive the six trigonometric identities. For this trigonometry lesson, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent ratios.
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Lesson Plan
Curated OER

Investigating Trigonometric Ratios Through Similar Right Triangles

For Teachers 9th - 10th
Students identify similar and congruent right triangles. In this geometry activity, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
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Interactive
CK-12 Foundation

Sine, Cosine, and Tangent Functions: Lighthouse

For Students 9th - 12th Standards
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances stemming...
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Interactive
CK-12 Foundation

Trigonometric Functions and Angles of Rotation: The Triangle in the Circle

For Students 10th - 12th Standards
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
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Lesson Plan
Curated OER

Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
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Worksheet
Curated OER

Trigonometry Worksheet: Verify Identities (4)

For Students 10th - 12th
Students verify the identities in one equation. In this trigometric identities worksheet, students verify the identity in one trigometric equation.
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Lesson Plan
EngageNY

Trigonometry and the Pythagorean Theorem

For Students 9th - 11th Standards
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
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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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Assessment
Inside Mathematics

Hopewell Geometry

For Teachers 9th - 12th Standards
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
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Worksheet
Curated OER

Pre-Calculus Test Chapter 5: Identities

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

Trigonometric Identities

For Teachers 10th - 11th
Students calculate the six trigonometric identities. In this algebra lesson, students verify other identities using the basic trigonometric identities of sine, cosine and tangent. They complete a worksheet with hints and then are graded...
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Worksheet
Curated OER

Graph Trigonometric Functions

For Students 9th - 12th
In this graphing trigonometric functions activity, students graph 1 sine equation.  Students plot the graph of the function y=-0.5sin(-3x).
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Assessment
EngageNY

End-of-Module Assessment Task - Geometry (module 2)

For Students 9th - 10th Standards
Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving. 
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Assessment
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.