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Printables
Embedded Math

The Unit Circle

For Teachers 10th - 12th Standards
You and your learners will enjoy having a nicely organized, typed up unit circle, all filled in with degrees and radians as well as cartesian coordinates. 
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Lesson Plan
K20 Learn

Round and Round We Go

For Teachers 11th - 12th Standards
Connect the dots on trigonometry with K'nex. Scholars use a K'nex model of a Ferris wheel to collect data points to plot on a height versus time graph. They'll then consider what type of function best models the data in the graph—and...
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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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Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 9th - 12th Standards
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
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Lesson Plan
Texas Instruments

What's the Trig?

For Teachers 9th - 12th Standards
Learners determine the trigonometric relationships within a triangle as they construct a right triangle on the Ti-89. They find the sine, cosine, and tangent of various angles of their triangle construction.
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Lesson Plan
Curated OER

Ratios in Right Triangles

For Teachers 9th - 12th Standards
Learners calculate the sides of right triangles in this trigonometric ratios lesson. They use Cabri Jr. software and TI-83 or TI-84 calculators to find the side lengths and their ratios to each other for various triangles. The provided...
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Lesson Plan
Better Lesson

Better Lesson: Algebra Ii: The Trigonometric Functions

For Teachers 10th - 12th Standards
A lesson plan where students will interpret the trigonometric functions in terms of the unit circle, graph a sinusoidal function, and use a sinusoidal function to make interpretations in a modeling context.
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Handout
Math Bits

Math Bits Notebook: Trigonometric Functions

For Students 9th - 10th Standards
Provides a detailed explanation of trigonometric functions with examples of reference angles and ratios.
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Primary
Windstream

Ojk's Precalculus Study Page: The Law of Cosines

For Students 9th - 10th Standards
An introduction to solving acute and obtuse triangles by using the law of cosines, including a derivation of the formula. Includes several pistures and examples.
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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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Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Trignometry of Right Triangles

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the trigonometry of a right triangle, including finding the values of all six trig functions given a single value. There are example problems solved, problems for the student to...
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Interactive
Cool Math

Coolmath: The Unit Circle

For Students 10th - 12th Standards
Description and examles of the unit circle angles.
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eBook
Mathigon

Mathigon: Geometry: Circle and Pi: Degrees and Radians

For Students 9th - 10th Standards
Rather than dividing a circle into some number of segments (like 360 degrees), mathematicians often prefer to measure angles using the circumference of a unit circle - a circle with radius 1. This way of measuring angles is called...
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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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eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.3 the Unit Circle

For Students 9th - 10th Standards
Activities in this lesson explore how to identify the coordinates where special right triangles intersect with the unit circle in all four quadrants, use both degrees and radians to identify angles, and explore angles of different sizes...
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eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.2 Right Triangle Trig Extended to Circles With a Model

For Students 9th - 10th Standards
This section explores the relationship between right triangles, circles, and trigonometry. It investigates how a right triangle that is set inside a circle and rotates around the circle is connected to trigonometric functions and their...
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eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.5 Graphing Sine and Cosine

For Students 9th - 10th Standards
This section explores the graphs of sine and cosine functions. It investigates how these graphs are related to coordinates for different angles in a unit circle.
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Handout
Purple Math

Purplemath: The Unit Circle

For Students 9th - 10th Standards
Relates the unit circle to the method for finding trig ratios in any of the four quadrants. Demonstrates how the unit circle might be useful.