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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.
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Handout
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1
Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas. 
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Lesson Plan
EngageNY

Why Are Vectors Useful? 1

For Teachers 11th - 12th Standards
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a robot. 
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Worksheet
Curated OER

Trigonometric Identities

For Students 10th - 11th
In this trigonometric worksheet, students solve problems using the 6 trigonometric ratios. They solve problems using the properties of a right triangle. There are 11 questions with an answer key.
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Worksheet
Curated OER

Precalculus Exam

For Students 11th - 12th
For this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Lesson Plan
Curated OER

Why We Study Trigonometry

For Teachers 10th - 11th
Students investigate the different properties of trigonometry. For this precalculus lesson, students find the six different identities of trigonometric ratios. They relate the ratios to that of a right triangle and apply it to real life...
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Lesson Plan
Curated OER

Whatcha Gunna Do When the Hulkster's Measuring Too??

For Teachers 8th - 10th
Pupils measure using tools they have made. In this algebra lesson plan, students measure the height and distance using non-traditional measuring methods. They apply their findings to algebra and trigonometry properties of measurements.
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Lesson Plan
Curated OER

Graphs of the OTHER Trig Functions

For Teachers 10th - 11th
Learners graph trigonometric functions. For this precalculus lesson, students identify the properties of secant ,cosecant and cotangent. They use the unit circle as their formula to graph and analyze these functions.
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Lesson Plan
Curated OER

Simply Similar at Sea: Simple Triangles

For Teachers 10th
Tenth graders answer a variety of problems based on similar triangle and learn about the rule of thumb. They will test the rule of thumb by estimating the distance to an object in the classroom.
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Worksheet
Curated OER

Solving Trigonometry Problems in Two and Three Dimensions

For Students 11th - 12th
In this Pre-calculus/Trigonometry instructional activity, students solve trigonometry problems in two and three dimensions. The eleven page instructional activity contains explanation, examples, and twenty problems. Answers are not...
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Laws of Sines and Cosines

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to find missing sides and angles in non-right triangles using the Laws of Sines and Cosines.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Law of Sines and Law of Cosines

For Students 9th - 10th Standards
This tutorial examines the law of sines and the law of cosines. Includes class notes, examples, and a variety of practice problems with solutions. The teacher resource consists of a lab that utilizes the law of sines and the law of cosines.
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Unit Plan
Khan Academy

Khan Academy: Laws of Sines and Cosines Review

For Students 9th - 10th Standards
Review the law of sines and the law of cosines, and use them to solve problems with any triangle.
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Handout
Wolfram Research

Wolfram Math World: Law of Sines

For Students 9th - 10th Standards
This MathWorld page gives a good explanation of the Law of Sines, which relates the lengths of the sides of a triangle to the sines of the opposite angles. This site gives a picture to help clarify the variables used in the equation....
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Handout
Georgia State University

Georgia State University: Hyper Physics: Laws of Sines and Cosines

For Students 9th - 10th Standards
At the bottom of this page from the Georgia State University, you will two real-world applications of the Laws of Sines and Cosines (in the context of velocity vectors.)
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Activity
University of Vienna (Austria)

Trigonometry: Law of Sines

For Students 9th - 10th Standards
This is demonstration of how the law of sines works. It uses Java applets to manipulate the triangle and allows the user to explore what happens to the values of the triangle as the sides are changed.
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Activity
BBC

Bbc: Gcse Bitesize: Sine and Cosine Rules

For Students 9th - 10th Standards
BBC provides a three part lesson on solving triangles, by using the sine rule and cosine rule.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Law of Sines and Law of Cosines

For Students 9th - 10th Standards
Sixteen problems present practice working with the Law of Sines and Law of Cosines. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Law of Cosines

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Use Law of Cosines and Law of Sines in different triangle situations.
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Unknown Type
Khan Academy

Khan Academy: General Triangle Word Problems

For Students 9th - 10th Standards
Solve word problems that involve general triangles using trigonometry. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Activity
Math Is Fun

Math Is Fun: Triangle Identities

For Students 9th - 10th Standards
View examples of triangle identities, equations that are true for all triangles: Law of Sines, Law of Cosines, and Law of Tangents. Follow links to learn more about the purpose and examples of each identity.
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Lesson Plan
Oswego City School District

Regents Exam Prep Center: Working on a Rescue Team Lab

For Teachers 9th - 10th Standards
Your students are part of the Yellowstone National Park rescue team which has just been dispatched to help located a downed plane. How can they effectively use the Law of Sines and the Law of Cosines to assist them in finding the plane?...
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Unit Plan
CK-12 Foundation

Ck 12: Determination of Unknown Triangle Measures Given Area

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Looks at triangle problems where you are given the area and must use trigonometry to find unknown sides or angles.
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Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Trig Ratios

For Students 6th - 8th
Investigate the cosine, sine, and tangent ratios of trigonometry using this interactive Learn Alberta math resource. Students will use these ratios to determine a right triangle's unknown side or angle. Be sure to follow the link to the...

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