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Interactive
CK-12 Foundation

Pythagorean Theorem for Solving Right Triangles: Solving the Triangle

For Students 9th - 12th Standards
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
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Interactive
CK-12 Foundation

Length of a Chord: Distance Across a Ferris Wheel

For Students 9th - 12th Standards
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
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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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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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Lesson Plan
Curated OER

Exploration of Trigonometry

For Teachers 6th - 12th Standards
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the...
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Lesson Plan
Curated OER

Trig is SOH Easy!

For Teachers 7th - 10th
Students derive the six trigonometric identities. In 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

Law of Cosines

For Teachers 7th - 9th
Students model scenarios using functions and their properties. In this trigonometry lesson, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.
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Lesson Plan
Curated OER

Trigonometry in Action

For Teachers 9th - 12th
Young scholars examine how to apply the principles of trigonometry in authentic measurement situations. They work in groups to determine the height of an object such as a flag pole by determine the angle from their position to the top.
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Lesson Plan
Curated OER

Trigonometric Functions of Acute Right Triangles

For Teachers 9th - 11th
Learners derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
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Worksheet
Curated OER

The Tangent Ratio

For Students 10th - 11th
In this geometry worksheet, students have to calculate the tangent ratio, given the values of the sides of a triangle. Students should be familiar with basic trig functions. There is an answer key.
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Interactive
Curated OER

Inverse Trig Functions: Chain Rule

For Students 9th - Higher Ed
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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Interactive
CK-12 Foundation

Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

For Students 9th - 12th Standards
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
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Interactive
Curated OER

Integration of Trigonometric Integrals

For Students 9th - 10th
In this trigonometry worksheet, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.
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Lesson Plan
Curated OER

Solving Right Triangles

For Teachers 10th - 11th
Students investigate the basic trigonometric functions.  In this geometry/trigonometry lesson, students explore strategies to solve right triangles using basic trigonometric functions.  The lesson includes an application problem in which...
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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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Lesson Plan
Curated OER

Angles in Standard Positions

For Teachers 9th - 11th
Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
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Interactive
CK-12 Foundation

Angles of Elevation and Depression: Fly-By Calibration

For Students 9th - 12th Standards
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.
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Interactive
CK-12 Foundation

Right Triangles, Bearings, and Other Applications: Sailing Race

For Students 9th - 12th Standards
Help your class get their bearings when it comes to right triangles. Pupils determine distances traveled or components given the bearing of a sailboat using an interactive. The scholars develop a sense of finding the bearings of a given...
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Lesson Plan
Curated OER

Follow That Graph

For Teachers 4th - 6th
Students investigate the graphs of six trigonometric functions. They discover how changes in the equation of the basic function affect the graph of the function.
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Lesson Plan
Alabama Learning Exchange

As If Numbers Weren't Complex Enough Already!

For Teachers 9th - 12th Standards
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
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Lesson Plan
Curated OER

Hunter Fred's Quest for Dinner

For Teachers 9th - 12th Standards
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
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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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Lesson Plan
Curated OER

Introduction to Law of Sines

For Teachers 10th - 12th
Learners solve problems using the law of sines.  In this sines lesson plan, 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. ...
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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...