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Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
EngageNY
Secant and the Co-Functions
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
CK-12 Foundation
Reciprocal Identities
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
Curated OER
Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Curated OER
Math Honors 2: Trigonometry Review Questions
In this Algebra II/Trigonometry activity, students solve problems involving angle of depression or elevation, evaluate trigonometric expressions, solve trigonometric equations, and graph trigonometric functions. The one page activity...
Illustrative Mathematics
Trigonometric Ratios and the Pythagorean Theorem
Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Curated OER
Investigating Transformations
In this trigonometry worksheet, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page worksheet contains explanation, examples, and forty-seven...
Curated OER
Math Handbook: Trigonometry
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...
EngageNY
Extending the Domain of Sine and Cosine to All Real Numbers
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.
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
High School Examination: Algebra 2/Trigonometry
In this high school worksheet, students solve problems involving angles, functions, square roots, and sequences. They read word problems, write equations, and then solve them. This 28-page worksheet contains 39 problems.
Curated OER
Unit Circle Lesson Plan
Students identify different locations on a unit circle. In this precalculus activity, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Curated OER
How Tall is that Tree?
Students apply their math skills to develop an accurate estimate of the height of a tall tree. Three different methods are outlined. All grade levels should be able to perform the shadow method and the proportional method.
Interactive Mathematics
Interactive Mathematics: Trigonometric Functions
This is a excellent review lesson about trigonometric functions of any angle. Good examples here.