Curated OER
Solving Trigonometric Equations
Pupils will investigate trigonometric equations. In this trigonometry lesson, they explore solving equations using a TI-83 calculator and solve trigonometric equations by graphing each side of the equation as a function and locating the...
Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
EngageNY
Inverse Trigonometric Functions
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 instructional activity of a 16-part series. They use...
EngageNY
Solving Problems Using Sine and Cosine
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. When...
EngageNY
Modeling with Inverse Trigonometric Functions 2
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
Mathematics Assessment Project
Representing Trigonometric Functions
Discover the classic example of periodicity: Ferris wheels. Young mathematicians learn about trigonometric functions through Ferris wheels. They match functions to their graphs and relate the functions to the context.
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
West Contra Costa Unified School District
Introduction to Trigonometric Functions
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.
EngageNY
Unknown Angles
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 basic...
Project Maths
The Unit Circle
It's not just any circle—it's the unit circle. The fourth instructional activity in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit...
Curated OER
Identities and Trigonometric Values
Young scholars solve trigonometric equations. In this precalculus instructional activity, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different...
Curated OER
Trigonometry Practice: Trigonometric Graphs #2
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.
Virginia Department of Education
Special Right Triangles and Right Triangle Trigonometry
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...
Curated OER
Differentiation Quiz
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
Curated OER
Solve Right Triangle
In this trigonometric applications worksheet, students solve for the missing side of a right triangle using a trigonometric ratio. There are 46 questions, 10 of which are word problems.
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
NASA
Simulating Weightlessness
Floating across the top. Class groups examine the parabolas, written as parametric equations, that model the flight path of NASA's C-9 as it simulates weightlessness. They continue their exploration by changing the parameters to...
Curated OER
Solving Right Triangles
Students investigate the basic trigonometric functions. In this geometry/trigonometry lesson, students explore strategies to solve right triangles using basic trigonometric functions. The lesson includes an application problem in which...
Curated OER
Equations, Formulas and Identities
Students rewrite word problems using the correct symbols. In this algebra lesson, students find the trigonometric identities and use them to solve problems. They write equations for the trigonometric ratios.
NASA
Earth, Can You Hear Me Now?
How long did you say? Class groups plot the distances between Earth and Mars and determine the trigonometric function that models the data. Using a calculator, they graph the function to determine when the distance and communication...
EngageNY
Tides, Sound Waves, and Stock Markets
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.
Curated OER
Trig Review
Twelfth graders review the 6 identities of trigonometry. In this trig lesson, 12th graders review the importance of the right triangle as it relates to sine, cosine and tangent. They review the basic trig identities and how it relates to...
Curated OER
Integrals involving Trig Substitution
Twelfth graders solve derivatives using trig substitution. For this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
Curated OER
Integration Involving Inverse Trig Functions
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...