Trigonometry Teacher Resources

Combine the triangle and the Cartesian coordinate grid to produce Trigonometry. Trig functions, complex numbers, identities, vectors, and real life applications like circuits are here to energize your classroom.
Showing 1,446 resources
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Instructional Video7:34
Khan Academy

Parsec Definition

For Students 11th - Higher Ed
What is a parsec? Sal's video explains that a parsec is 3.26 light years, and that the word its self can be broken into par = parallax and sec=1 arc second. He uses illustrations, diagrams, and trigonometric equations to help viewers...
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Printables
Chapman University

Some Fascinating Properties of π

For Teachers 9th - Higher Ed
Decorate your calculus room! The properties outlined on this poster or handout focus on the more complex attributes of pi by using trigonometry and calculus to boggle the mind. 
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Printables
Chapman University

A Pythagorean-Style Proof of the Sine Sum-of-Angles Formula

For Teachers 10th - 12th
This well organized poster shows a step-by-step algebraic proof and related graphic. Understanding how formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will...
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Activity
Illustrative Mathematics

Satellite

For Teachers 9th - 11th Standards
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
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Lesson Plan
EngageNY

Incredibly Useful Ratios

For Students 9th - 10th Standards
Start the exploration of trigonometry off right! Pupils build on their understanding of similarity in this instructional activity that introduces the three trigonometric ratios. They first learn to identify opposite and adjacent...
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Assessment
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Illustrative Mathematics

Calculations with Sine and Cosine

For Students 9th - 12th Standards
Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...
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Assessment
Illustrative Mathematics

Finding Trig Values

For Students 9th - 12th Standards
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the...
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Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
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Instructional Video9:57
Khan Academy

Trig Identities Part 2 (Part 4 If You Watch the Proofs)

For Students 10th - 12th
In this video, Sal reviews the basic trigonometric definitions and identities, including the sum of angle formulas, and then derives the double angle formulas.
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Instructional Video9:22
Curated OER

Proof: cos(a+b)=(cos a)(cos b)-(sin a)(sin b)

For Students 11th - Higher Ed
Using a similar method that he used to prove the sum of angles formula for sine, Sal shows the proof the cosine sum of angles formula, cos (a+ b) = cos (a) cos (b) - sin (a) sin (b). This proof also uses the SOH-CAH-TOA model and some...
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Instructional Video9:22
Khan Academy

Proof: cos(a+b)=(cos a)(cos b)-(sin a)(sin b)

For Students 10th - 12th
Using a similar method that he used to prove the sum of angles formula for sine, Sal shows the proof of the cosine sum of angles formula, cos (a+ b) = cos (a) cos (b) - sin (a) sin (b). This proof also uses the SOH-CAH-TOA model and some...
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Instructional Video9:49
Khan Academy

Proof: sin(a+b)=(cos a)(sin b)+(sin a)(cos b)

For Students 10th - 12th
Sal proves the sum of angles formula for sine, sin (a+ b) = cos (a) sin (b) + sin (a) cos (b), through a clear but rather non-intuitive proof. The proof is interesting as it uses the SOH-CAH-TOA model and requires one to recall some...
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Instructional Video10:20
Khan Academy

Polar Coordinates 1, Parametric Equations and Polar Coordinates, Precalculus

For Students 10th - 12th
Sal defines polar coordinates and the relationships between Cartesian coordinates and polar coordinates using basic trigonometric identities and the Pythagorean Theorem in this introductory video.
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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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Instructional Video2:22
Khan Academy

Stellar Parallax Clarification

For Students 11th - Higher Ed
A short clarification begins where the last video on stellar distance left off. Its intention is to clarify the trigonometry involved in using Parallax to determine stellar distance. The instructor uses the equations from the previous...
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Lesson Plan
Curated OER

Solving Trigonometric Equations

For Teachers 9th - 12th Standards
Pupils will investigate trigonometric equations. In this trigonometry lesson, they explore solving equations using a TI-83 calculator and solve trigonometric equations by graphing each side of the equation as a function and locating the...
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Worksheet
Curated OER

Law of Sines and Law of Cosines

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students use the laws of sines and cosines to solve triangles. The four page worksheet contains thirteen problems. Answers are not included.
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Lesson Plan
Curated OER

Adding Trigonometric Functions

For Teachers 9th - 11th
Students identify trigonometric functions. In this trigonometry instructional activity, students add and subtract trigonometric functions. They add sine and cosine waves and relate it to the real world.
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Lesson Plan
Curated OER

Triangles & Congruence, Proportions & Similarity, Right Triangle & Trigonometry

For Teachers 9th - 12th
Students are introduced to the topic of congruence and proportions in Geometry. Using technology, they construct and validate the properties of various geometric figures and identify whether it is congruent or proportion to the objects...
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Worksheet
Curated OER

Trigonometry: Square Roots

For Students 8th - 10th
In this square roots worksheet, students mental calculate the square root of numbers. They determine the value of numbers raised to a power. This two-page worksheet contains 30 problems.
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Worksheet
Curated OER

Algebra 2 and Trigonometry Practice Series #4

For Students 10th - 12th
In this sum of a series worksheet, students complete 6 multiple choice problems relating to the topic. They create an infinite series that converges to -2. Students graph one function on their graphing calculator.
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Lesson Plan
Curated OER

Sled Kites and Trigonometry

For Teachers 9th - 12th
Students study the history of kites and their fundamental properties.  In this kites lesson plan students divide into teams and build and fly kites. 
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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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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...

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