Lesson Plan
West Contra Costa Unified School District

Law of Sines

For Teachers 10th - 12th Standards
One must obey the sine laws. A lesson introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson checks to see if the Law...
Lesson Plan
Willow Tree

The Pythagorean Theorem

For Students 8th - 11th Standards
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Lesson Plan
1
1
Wind Wise Education

What are Wind Shear and Turbulence?

For Teachers 6th - 12th Standards
Let's go fly a kite. By flying a kite, class members observe the difference in air flow. The class notices the characteristics of banners tied to the kite string to determine where wind turbulence stops. Adding an anemometer to...
Handout
1
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...
Handout
Purple Math

Purplemath: Trigonometric Identities

For Students 9th - 10th Standards
Lists the basic trigonometric identities, and specifies the set of trig identities to keep track of, as being the most useful ones for calculus.
Handout
Windstream

Ojk's Precalculus Study Page: Sum and Difference Formulas for Sine and Cosine

For Students 9th - 10th Standards
An introduction to trigonometric identities, beginning with the sum and difference formulas. Some of the formulas are proven, some are left to the reader. Includes several examples and pictures.
Handout
Purple Math

Purplemath: Inverses of Trigonometric Ratios

For Students 9th - 10th Standards
You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse...
Handout
Wikimedia

Wikipedia: Trigonometric Function

For Students 9th - 10th
This page from Wikipedia, a free and open-source encyclopedia, covers how to solve a variety of trigonometric equations, most of which involve substitution with a trigonometric identity. The identities themselves are not covered, but...
Handout
Cuemath

Cuemath: Sine Law

For Students 9th - 10th Standards
This comprehensive guide explores the topic of sine law, by finding answers to questions like what is the law of sines, what are the applications of sine law, and proof of the sine law. Includes solved examples and practice questions.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Trigonometric Ratios

For Students 9th - 10th Standards
Find a quick, concise explanation of the trigonometric ratios: sine, cosine and tangent. Examples are given and clearly explained.
Handout
Windstream

Ojk's Precalculus Study Page: Sum and Difference Formulas for Tangent

For Students 9th - 10th Standards
This tutorial introduces the sum and differnce formulas for tangent, and gives several examples of problems to be solved as well as proving other identities. Assumes knowledge of the sum and difference formulas for sine and cosine.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Trigonometric Functions

For Students 9th - 10th Standards
This Northeast Parallel Architectures Center of Syracuse University site offers a quick overview of the six trigonometric functions from the standpoint of the unit circle.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Trig Function Graphs

For Students 9th - 10th Standards
Northeast Parallel Architectures Center provides a quick overview of the graphs of the six trigonometric functions, with angles measured in radians.
Handout
Wolfram Research

Wolfram Math World: Trigonometric Addition Formulas

For Students 9th - 10th Standards
This tutorial offers formulas and explanations on trigonometric addition formulas and features an easy way to remember the sine and cosine addition formulas using matrices.
Handout
University of Guelph

University of Guelph: Trigonometry Tutorial

For Students 9th - 10th Standards
A guide to calculating trigonometric functions.
Handout
Other

Dans Math: Lessons: Trigonometry

For Students 9th - 10th
College professor Dan Bach reviews basic trig concepts, including trig functions, right triangles, circles, radians, and polar coordinates. Site includes animated graphs and detailed examples.
Handout
Purple Math

Purplemath: Special Angle Values: 30 60 90 and 45 45 90 Triangles

For Students 9th - 10th
Explains a simple pictorial way to remember basic reference angle values. Provides other memory aids for the values of trigonometric ratios for these "special" angle values, based on 30-60-90 triangles and 45-45-90 triangles.
Handout
Johan Claeys

Math Abundance: Trigonometry: The Sine Function

For Students 9th - 10th Standards
Definition of a sine function. Range and period also are given. Graph of sine function given as well.
Handout
Wolfram Research

Wolfram Math World: Trigonometric Functions

For Students 9th - 10th Standards
This site provides a listing of the trigonometric functions and their inverses. Their notation is also addressed along with links to each of the fundamental trigonometric functions.
Handout
Windstream

Ojk's Precalculus Study Page: More Difficult Trig Equations

For Students 9th - 10th Standards
An introduction to solving trigonometric equations by using the reciprocal, negative, Pythagorean, and cofunction identities. Includes several examples and exercises with solutions at the bottom of the page.
Handout
Math Words

Math Words: Cofunction Identities

For Students 9th - 10th Standards
This MathWords.com site, which is a glossary of math terms, shows the relationship in radians and degrees between sin and cos, tan and cot, and sec and csc.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Often Used Values

For Students 9th - 10th
Northeast Parallel Architectures Center of Syracuse University provides a quick reference chart of the exact values of the sine, cosine, and tangent functions for the most common angle measrements in the first quadrant. Includes both...