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...
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.
Lesson Plan
Curated OER

The Law of Sines and the Law of Cosines

For Teachers Higher Ed
For this college level trigonometry worksheet, students apply the Law of Sines and the Law of Cosines to solve triangles. The four page worksheet contains forty-four problems. Solutions are not provided. 
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,...
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.
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.
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...
Worksheet
Curated OER

A Different Proof of the Law of Cosines

For Students 9th - 12th
For 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.
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. 
Lesson Plan
Curated OER

Concepts in Precalculus 1: Trigonometry

For Teachers 11th - 12th
Students 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...
Lesson Plan
Curated OER

Law of Cosines Practice

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

Section 6.1-6.2 Precalculus: Trigonometry

For Students 9th - 12th
In this trigonometry worksheet, 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.
Lesson Plan
Curated OER

Law of Cosines Word Problem

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

Law of Sines and Law of Cosines

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

Some More Trigonometry

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

End-of-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
Lesson Plan
Curated OER

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Young scholars study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Lesson Plan
Curated OER

Introduction to Law of Sines

For Teachers 10th - 12th
Students solve problems using the law of sines.  In this sines lesson, students work in groups and individually to solve problems using the law of sines.  They identify real life problems that require the use of the law of...
Lesson Plan
Curated OER

Journey of the Nez Perce

For Teachers 10th - 12th
Students study the retreat of the Nez Perce Native Americans into Montana while tracing their journey on a map. They use the law of cosines to solve problems based on the navigational methods of the Nez Perce. They work with both the law...
Worksheet
Curated OER

Law of Cosines

For Students 10th
In 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 a...
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 worksheet...

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