EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
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.
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...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Math Open Reference
Math Open Reference: Derivative Function
A complete reference guide to derivative functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Power Functions
Gain an understanding of power functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Sine (Sin) Function Trigonometry
A complete reference guide to the sine function. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Function Composition the Chain Rule
Learn about the chain rule with this helpful reference tool. Provides a detailed definition, examples, and an animation that enhances further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Derivatives of the Trigonometric Functions
Gain an understanding of the derivatives of the six common trigonometric functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Cotangent
Learn about cotangents with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.