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Worksheet
Curated OER

Precalculus Test

For Students 10th - 11th
For this calculus activity, learners match cosine values with sine values. They solve trigonometric equations and graph functions. There are 20 questions with a bonus question.
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Worksheet
Curated OER

Further Trigonometry

For Students 11th - Higher Ed
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
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Lesson Plan
Curated OER

Angles in Standard Positions

For Teachers 9th - 11th
Students 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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Worksheet
Curated OER

Cosine

For Students 10th - 12th
In this cosine worksheet, students find the cosine of x for different measurements of triangles. Students complete 10 cosine problems.
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Lesson Plan
Curated OER

Intro to Trigonometry

For Teachers 6th - 8th
After being introduced to the basic trigonometry functions, learners calculate the height of school landmarks. They experiment with different angles to find the correct height.
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Lesson Plan
Curated OER

Right Triangles and The Pythagorean Theorem

For Teachers 8th - 9th
Students play a game to reinforce concepts of the Pythagorean Theorem. For this geometry lesson, students find the missing angle and lengths of a right triangle. They use properties of trigonometry about sine, cosine and tangent to solve...
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Lesson Plan
Curated OER

Some More Trigonometry

For Teachers 9th - 10th
Students define the law of cosine and its correct usage. In this trigonometry lesson, students define the law of Heron's area formula and use it to solve problems. They review other trigonometric values and identify the identities.
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Worksheet
Curated OER

MT-A141 PreCalculus: Worksheet 6.4

For Students 10th - 11th
In this precalculus learning exercise, students predict the graph of given functions and draw conclusions about each one. Students define a transformation, and determine the amplitude, period, phase shift and vertical shift of given...
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Lesson Plan
EngageNY

Ferris Wheels—Tracking the Height of a Passenger Car

For Students 10th - 12th Standards
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
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Lesson Plan
Curated OER

Worksheet 11 - Points of Discontinuity

For Teachers Higher Ed
In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.
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Lesson Plan
Curated OER

Applications of Triangles

For Teachers 9th - 11th
Young scholars apply the properties of a right triangle. For this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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Worksheet
Curated OER

Solving Trigonometry Problems in Two and Three Dimensions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students solve trigonometry problems in two and three dimensions. The eleven page worksheet contains explanation, examples, and twenty problems. Answers are not included.
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Lesson Plan
Curated OER

Trigonometry in Action

For Teachers 9th - 12th
Learners 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

La Toteca- A Tropical Paradise

For Teachers 7th - 11th
Students collect data on the time of the ferry. In this algebra lesson, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.
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Lesson Plan
Curated OER

Exploring Centers of Triangles

For Teachers 7th - 10th
Pupils explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
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Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Trigonometric Identities

For Students 9th - 10th Standards
The University of Saskatchewan provides an explanation of trigonometric identities, including the reciprocal identities, the addition and subtraction formulas with sine and cosine, and the double angle formulas. There are links to...
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Inverse Trigonometric Ratios

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to use inverse trigonometric ratios to solve for missing angles in right triangles.
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Handout
Purple Math

Purplemath: Trigonometric Identities

For Students 9th - 10th Standards
Lists the basic trigonometric identities, and specifies the set of trig identities to keep track of, as being the most useful ones for calculus.
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Activity
Other

Brown Math: Remembering Trig Identities

For Students 9th - 10th Standards
Faced with a large number of trigonometric identities, students tend to try to memorize them all. This site the emphasis is on understanding how the functions work and on memorizing only about a half dozen of them - all the others work...
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Activity
Clark University

Clark University: Dave's Short Trig Course: Summary of Trig Identities

For Students 9th - 10th Standards
This Clark University page is an excellent reference page for trig identities. It is a little difficult to read so take your time with the formulas. If you remember soh - cah - toa, the other formulas are right here.
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Activity
Math Is Fun

Math Is Fun: Trigonometric Identities

For Students 9th - 10th Standards
A good introduction to trigonometric identities, equations that are always true for a right triangle and require knowledge of the functions sine, cosine, and tangent.
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Handout
Windstream

Ojk's Precalculus Study Page: Sum and Difference Formulas for Sine and Cosine

For Students 9th - 10th Standards
An introduction to trigonometric identities, beginning with the sum and difference formulas. Some of the formulas are proven, some are left to the reader. Includes several examples and pictures.
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Activity
University of Vienna (Austria)

Univ of Vienna: Trigonometric Functions

For Students 9th - 10th
An interactive tool to discover how the trig functions came to be. Applets are used in this interactive learning tool. Examples exercises are also given.