Activity
Wake Forest University

Authentic Activities for Connecting Mathematics to the Real World

For Students 6th - 12th Standards
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
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...
Activity
Cut the Knot

Cut the Knot!: The Law of Cosines (Cosine Rule)

For Students 9th - 10th Standards
This site from Cut The Knot provides an overview of the law of cosines, complete with an explanation of the law and a proof of the law.
Activity
Georgia State University

Georgia State University: Hyper Physics: Law of Cosines

For Students 9th - 10th Standards
This page from the Georgia State University provides a definition of the Law of Cosines. Also includes a "calculator" to help you find side lengths and opposite angles when you are given either three sides or two sides and a third angle.
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"...
Activity
Other

Trig Without Tears: Solving Triangles

For Students 9th - 10th Standards
This page provides a good explanation of how to solve oblique triangles (triangles containing no right angles.) The Law of Cosines section is about halfway of the way down the page.
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.
Activity
Analyze Math

Analyze Math: Cosine Law Problems

For Students 9th - 10th Standards
Here are four problems to solve using the Law of Cosines. Two are SSS problems; two are SAS problems. Two have detailed solutions; two have answers given only. Notice the link at the bottom that takes you to a Law of Cosines calculator -...
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.
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.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: To Pythagoras and Beyond

For Teachers 9th - 10th Standards
Based off of the hit television show NUMB3RS, this lesson has students discover the Pythagorean relationships of different triangle types. By the end of the lesson, students should be able to take three given side lengths and compute...
Activity
Analyze Math

Analyze Math: Triangle Problems

For Students 9th - 10th Standards
Here are five triangle problems to solve using the Law of Sines, Law of Cosines, Pythagorean Theorem, and trigonometry. All problems have detailed written solutions included.
Activity
Other

Karl's Calculus Tutor: Trigonometric Functions

For Students 9th - 10th Standards
Great application of trig and introduction to the trig functions. Also found here are the Law of Sines and Law of Cosines as well as other trig topics to review.
Activity
University of Georgia

University of Georgia: Navigation Problems

For Students 9th - 10th
These two navigation problems employ the use of the law of sines or cosines and basic trigonometry. Each problems includes links to a sketch of the problem for visual help, and to a solution.
Activity
Math Is Fun

Math Is Fun: Solving Triangles

For Students 9th - 10th Standards
Find guidelines to help you "solve" triangles, which means finding the value of missing sides and angles. Provided are examples of six scenarios in which you can solve a triangle's missing measurements, as well as relevant equations,...
Activity
Other

Trigonometry: A Crash Review

For Students 9th - 10th
This site really is a crash review on trigonometry! Formulas, functions - you name it, it's covered! Also includes self quizzes for practice.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry

For Students 9th - 10th Standards
Concepts in Trigonometry are explained and illustrated here by a member of the math department at Borough of Manhattan Community College.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Where's Cheetah?

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson has students set up a search region for a yacht that sank into the ocean. Using cylindrical coordinates and a little trigonometry, students are able to block off a certain portion...
Activity
Interactive Mathematics

Interactive Mathematics: Trigonometric Functions

For Students 9th - 10th
Just about everything you need to know about trigonometry can be found here. Interactive examples and demonstrations help to enhance the lessons. Although not required, the tutorial uses Live Math and Scientific Notebook.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice: Right Triangles and Trigonometry

For Students 9th - 10th Standards
Practice using your graphing calculator for solving right triangle trigonometry and non-right triangle trigonometry. If you get stumped or if you would like to check your work, then select the View Solution button, which is located...
Activity
Other

Brown Math: Remembering Trig Identities

For Students 9th - 10th Standards
Faced with a large number of trigonometric identities, students tend to try to memorize them all. This site the emphasis is on understanding how the functions work and on memorizing only about a half dozen of them - all the others work...

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