Lesson Plan
EngageNY

Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
Lesson Plan
EngageNY

The Definition of Sine, Cosine, and Tangent

For Students 9th - 10th Standards
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
Lesson Plan
EngageNY

Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...
Lesson Plan
Alabama Learning Exchange

"I Saw the Sine"

For Teachers 9th - 12th Standards
Discover trigonometric ratios that complement each other. Using two videos, the lesson plan introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
Lesson Plan
Project Maths

Trigonometric Functions

For Teachers 9th - 12th Standards
From a circle to a cycle! The final lesson of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars...
Lesson Plan
EngageNY

Properties of Trigonometric Functions

For Teachers 11th - 12th Standards
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...
Lesson Plan
Curated OER

Does Your Field Measure Up

For Teachers 9th - 11th
Young scholars measure angles using a plane table kit. In this geometry instructional activity, students use trigonometric identities to find the values of the length of a football field.
Lesson Plan
EngageNY

What Is a Trigonometric Identity?

For Students 10th - 12th Standards
Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.
Lesson Plan
West Contra Costa Unified School District

Introduction to Trigonometric Functions

For Teachers 9th - 12th
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
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
Curated OER

Graphs of the OTHER Trig Functions

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

Solving Problems Using Sine and Cosine

For Students 9th - 10th Standards
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....
Lesson Plan
West Contra Costa Unified School District

Law of Sines

For Teachers 9th - 12th Standards
Laws are meant to be broken, right? Learners derive the Law of Sines by dropping a perpendicular from one vertex to its opposite side. Using the Law of Sines, mathematicians solve for various parts of triangles.
Lesson Plan
EngageNY

Trigonometric Identity Proofs

For Teachers 10th - 12th Standards
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Lesson Plan
EngageNY

Applying the Laws of Sines and Cosines

For Students 9th - 10th Standards
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...
Lesson Plan
Curated OER

Exploring Trigonometric Ratios

For Teachers 9th - 10th
Learners identify the ratios of trig functions. For this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Lesson Plan
Curated OER

Exercise Set 5.4: Inverse Trigonometric Functions

For Teachers 9th - 12th
For this trigonometric functions worksheet, students solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. Students graph inverse trigonometric functions.
Lesson Plan
K20 LEARN

Round and Round We Go

For Teachers 11th - 12th Standards
Connect the dots on trigonometry with K'nex. Scholars use a K'nex model of a Ferris wheel to collect data points to plot on a height versus time graph. They'll then consider what type of function best models the data in the graph—and...
Lesson Plan
Curated OER

Trig functions and Triangles

For Teachers 7th - 9th
Here is a basic plan for the beginning teacher to use for introducing the class to the right triangle trigonometric functions. It outlines the lesson objectives, class procedures, and basic instructional techniques that could be...
Lesson Plan
Curated OER

Trigonometry Practice: Trigonometric Graphs #2

For Teachers 9th - 12th
In this trigonometric functions worksheet, students solve 8 multiple choice and graphing problems.  Students graph trigonometric functions given an equation and match graphs to a given scenario.
Lesson Plan
EngageNY

Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th activity of a 16-part series. They use inverse functional...
Lesson Plan
Odell Education

Special Right Triangles and Right Triangle Trigonometry

For Teachers 9th - 11th Standards
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...