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Chapman University

Graphs of the Sine and Cosine Function in Radians

For Teachers 10th - 12th
This bright, clear, graphical display of the sin(x) and cos(x) functions spans the domain between -2 pi radians and 2 pi radians. Use it as a poster, handout, presentation slide, or project it onto a...
Lesson Plan
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Curated OER

Graphing at all Levels: It's a Beautiful Thing!

For Teachers 8th - 12th Standards
Mixing math and art is done in this lesson plan by applying graphing knowledge to create a unique piece of art. This lesson plan varies acording to the graphing knowledge of the artist. First, learners identify and review various types...
Lesson Plan
Curated OER

Logarithmic Differentiation

For Teachers 12th - Higher Ed
Students analyze the steps required to take the derivative of an equation. In this calculus lesson, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine and tangent...
Worksheet
Curated OER

Defining the Circular Functions

For Students 10th - 12th
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
Lesson Plan
Curated OER

Geometry Exploration Basic Trig Functions

For Teachers 10th
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
Lesson Plan
Curated OER

Trigonometric Identities

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

Trigonometric Functions

For Students 9th - 12th Standards
Here is a worksheet that includes three short trigonometry problems. Learners must use trigonometric definitions and identities to solve. Use this resource to review trigonometry, or as an assessment.
Lesson Plan
Curated OER

Integrals with Odd Powers of Sine and Cosine

For Teachers 11th - 12th
Students review the power rule for integrals. They watch as the teacher demonstrates several problems. Students describe problems as an integral of u^n or du/u. They discuss problems that are not u^n because of the absence of a...
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 plan in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the...
Activity
National Council of Teachers of Mathematics

Tidal Waves

For Teachers 9th - 12th Standards
Periodically ship the class a trigonometric application. Pupils model the level of water in a port. Using their models, learners determine the times that a ship can safely navigate into and out of the port, along with determining other...
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.
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. In this geometry instructional activity, students find the missing angle and lengths of a right triangle. They use properties of trigonometry about sine, cosine and...
Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 10th - 12th
Students measure and analyze angles. In this trigonometry lesson, students measure angles and distances use non-traditional techniques. They identify the different ratios of sine, cosine and tangent.
Lesson Plan
Curated OER

Trigonometry Practice: Trigonometric Graphs #2

For Teachers 9th - 12th
In this trigonometric functions worksheet, students solve 8 multiple choice and graphing problems.  Students graph trigonometric functions given an equation and match graphs to a given scenario.
Lesson Plan
Curated OER

Using Trigonometric Ratios

For Teachers 10th - 11th
Young scholars solve problems using sine and cosine. In this trigonometry instructional activity, students apply the properties of sine and cosine to solve triangular problems. They identify when to use law of sines using angle-side...
Lesson Plan
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Curated OER

The Unit Circle

For Teachers 9th - 11th Standards
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Organizer
Curated OER

Year 10 Trigonometry Ch. 14 Answer Sheet

For Students 11th - Higher Ed
In this math worksheet, students find the solutions for the trigonometry problems. They label the hypotenuse, adjacent, and opposite sides. The calculations are done using sine, cosine, and tangent.
Assessment
Illustrative Mathematics

Sum and Difference Angle Formulas

For Students 9th - 12th Standards
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
Lesson Plan
EngageNY

Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
Activity
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Curated OER

Foxes and Rabbits 3

For Teachers 10th - 12th Standards
Use realistic data to find trigonometric models that best fit the populations of foxes and rabbits in a national park. Included are detailed explanations of the answers and process. This is a follow-up exercise to the lesson listed in...
Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Lesson Plan
Prestwick House

Connotative vs. Denotative Meanings

For Teachers 11th - 12th Standards
Besides the dictionary definition, words also carry the added weight of meanings that are inferred or implied, meanings conferred on words, or connotations. To gain an understanding the importance of connotation, class members...
Lesson Plan
Project Maths

Trigonometric Functions

For Teachers 9th - 12th Standards
From a circle to a cycle! The final lesson plan of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions....
Lesson Plan
Curated OER

River Width

For Teachers 6th - 8th
Middle schoolers determine the level of accuracy needed for computations involving measurements and irrational numbers. They use the correct number of digits in computation to achieve an appropriate unit or level of accuracy when...

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