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Lesson Plan
EngageNY

Law of Cosines

For Teachers 11th - 12th Standards
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
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Lesson Plan
EngageNY

Putting the Law of Cosines and the Law of Sines to Use

For Teachers 11th - 12th Standards
Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...
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Interactive
CK-12 Foundation

Law of Cosines: Angles in the Outfield

For Students 10th - 12th
Take me out to the trig class. Individuals use an interactive to see how angles on a baseball field change as the position of two runners change. A set of challenge questions has them apply the Law of Cosines to solve problems.
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Interactive
CK-12 Foundation

Law of Cosines: Baseball Diamond

For Students 10th - 12th
Catch a great resource! Individuals use an interactive that allows them to move players on a baseball field. They calculate distances between players using the Law of Cosines.
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Interactive
CK-12 Foundation

Law of Cosines: Get on Base

For Students 10th - 12th
Baseball is all about math. Young baseball and mathematics enthusiasts determine the distance between players on a baseball field using the Law of Cosines. An interactive helps them find relevant distances and angles to use in their...
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Interactive
CK-12 Foundation

Law of Cosines: Building a Zip Line

For Students 10th - 12th
Zip this resource into your lesson plans. Here is an interactive that shows how angles and lengths change based on conditions for a zip line. Scholars use the Law of Cosines to solve problems in this context.
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Lesson Plan
Curated OER

Concepts in Precalculus 1: Trigonometry

For Teachers 11th - 12th
Learners investigate trigonometry.  In this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...
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Worksheet
Curated OER

A Different Proof of the Law of Cosines

For Students 9th - 12th
In this proofs worksheet, students construct 1 proof of the law of cosines.  Students construct a right triangle within a circle to  prove the law of cosines.
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Lesson Plan
EngageNY

Using Trigonometry to Find Side Lengths of an Acute Triangle

For Students 9th - 10th Standards
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems. 
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Worksheet
Curated OER

Section 6.1-6.2 Precalculus: Trigonometry

For Students 9th - 12th
In this trigonometry instructional activity, students solve 15 triangle problems.  Students use the law of sines and law of cosines to find the missing angles and side lengths of a triangles.
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Lesson Plan
Curated OER

Law of Cosines Practice

For Teachers 8th - 10th
Students practice solving problems with non-right triangles. In this precalculus instructional activity, students define and identify the properties of the Law of Cosine. They solve problems and investigate the history behind Cosine.
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Lesson Plan
Curated OER

Law of Cosines Word Problem

For Teachers 10th - 11th
Students solve problems using the law of cosines. In this precalculus activity, students meet different criteria as they solve problems. They apply the formula for cosines to solve word problems.
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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

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

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Students explore the concept of law of sines and cosines. In this law of sines and cosines lesson, students construct a triangle tool from card stock and markers. Students use their triangle tool to aid in solving problems involving...
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Lesson Plan
Curated OER

Algebra And Trigonometry - Week 3: Law of Sines

For Teachers 12th - Higher Ed
In this law of sines worksheet, students read story problems. They use both algebra and the law of sines and cosines to solve problems. This two page worksheet contains seven problems.
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Worksheet
Curated OER

Law of Cosines

For Students 10th
For this Law of Cosines worksheet, 10th graders solve 10 different problems related to applying the Laws of Cosine. First, they determine the length of a side rounded to the nearest integer. Then, students determine the largest angle of...
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Handout
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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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Assessment
Mathed Up!

Sine and Cosine Rules and Area of Triangles

For Students 9th - 12th
Learners discover how to find missing sides and angles using trigonometry. Scholars first watch a video covering the Law of Sines and Cosines, as well as the area formula for a triangle. To test their knowledge, they complete a learning...
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Assessment
EngageNY

End-of-Module Assessment Task - Geometry (module 2)

For Students 9th - 10th Standards
Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving. 
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Interactive
CK-12 Foundation

Determination of Unknown Triangle Measures Given Area: Jib Sheets

For Students 10th - 12th Standards
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
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Lesson Plan
Curated OER

Law of Cosines

For Teachers 7th - 9th
Young scholars model scenarios using functions and their properties. For this trigonometry lesson, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.
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Lesson Plan
Curated OER

Trigonometry Involving Figures - Week 11

For Teachers 10th - 11th
In this trigonometry worksheet, students use trigonometric functions to determine the measurement of angles and the length of sides in given figures. Most figures are comprised of rectangles containing parallel and perpendicular lines,...
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Worksheet
Curated OER

The Law of Sines

For Students 9th - 12th
In this law of sines activity, students use the law of sines to find the missing measurement in a triangle. They determine the value of angles and the lengths of triangles. Students compute the area of triangles. This four-page activity...

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