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Lesson Plan
EngageNY

Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the argument...
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 2)

For Teachers 11th - 12th Standards
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson plan in the series of 32 continues to explore the concept of linearity started in the first lesson plan. The class explores trigonometric,...
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Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
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Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
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...
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Assessment
EngageNY

Algebra II Module 2: End-of-Module Assessment

For Teachers 10th - 12th Standards
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one potential...
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Lesson Plan
EngageNY

Graphing the Tangent Function

For Students 10th - 12th Standards
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
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Lesson Plan
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
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. 
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Lesson Plan
EngageNY

Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior

For Students 10th - 12th Standards
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson plan in this series on transformations, learners use trigonometric functions to model wheels of...
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Lesson Plan
EngageNY

Secant and the Co-Functions

For Students 10th - 12th Standards
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.
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Assessment
Illustrative Mathematics

Trigonometric Ratios and the Pythagorean Theorem

For Students 9th - 12th Standards
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...
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Assessment
1
1
Illustrative Mathematics

Calculations with Sine and Cosine

For Students 9th - 12th Standards
Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...
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Assessment
Illustrative Mathematics

Finding Trig Values

For Students 9th - 12th Standards
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the problem. 
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Lesson Plan
1
1
NASA

Earth, Can You Hear Me Now?

For Teachers 10th - 12th Standards
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...
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Lesson Plan
1
1
NASA

The Lunar Lander – Ascending from the Moon

For Teachers 10th - 12th Standards
What angle? Groups determine the height of the lunar lander as it ascends from the surface of the moon and calculate the angle of elevation of the lunar lander at specific times and distances. The provided series of questions lead the...
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eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
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Activity
Curated OER

Sunrise, Sunset

For Teachers 10th - 12th Standards
What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...
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eBook
Schoolcraft College

Trigonometry

For Teachers 9th - 12th Standards
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...
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
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Lesson Plan
Illustrative Mathematics

Seven Circles III

For Teachers 9th - 11th Standards
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
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Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
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AP Test Prep
College Board

Frozen in Time

For Teachers 10th - 12th
Take a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...