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Search Results for “functions”

By Jenny Covington
Even and Odd Functions With a Tangent Twist
This app allows you to visually conceptualize even and odd functions while also discovering the function of a tangent line.

Tags: calculus, even-and-odd-functions, tangent

By Nick Halsey
Epic Circle Trace 2
A triangle, defined by three points that are located proportionally around a circle by functions of t, is traced as t varies from 0 to 2Π. What are the functions of t, f(t), g(t), and h(t), that define the points D, E, and F, respectively? Hint: one of the functions is _(t) = t.

Tags: Trace, puzzler, circle, triangle, proportional-point, functions

By Larry Ottman
Conveyor Belt*
This app explores a physical motion problem and its connection to trigonometric functions. (F-TF 5)

Tags: Functions, Common-Core, Trigonometry, modeling, Unit-Cirlce, radians

By Larry Ottman
Offcenter Cam*
This app explores a physical motion problem and its connection to trigonometric functions. (F-TF 5)

Tags: Functions, Common-Core, Trigonometry, modeling, Unit-Cirlce, radians

By Larry Ottman
The Cosine Function
This app allows the user to explore the relationship between the unit circle and the cosine function. (F-TF 2, 3)

Tags: Functions, Common-Core, Trigonometry, Cosine, Unit-Cirlce, radians

By Larry Ottman
The Sine Function
This app allows the user to explore the relationship between the unit circle and the sine function. (F-TF 2, 3)

Tags: Functions, Common-Core, Trigonometry, Sine, Unit-Circle, radians

By Phil Todd
Tangents to Polar Functions
The purple curve has polar equation r=f(θ). A lies on this curve, and B is a point at the intersection of the tangent at A with the line perpendicular to OA. The red curve is the locus of B The grey curve is the curve r=g(θ) rotated by the quantity on the slider. What function g() will rotate to lie on top of the red curve?

Tags: polar-function, tangent, spiral, Archimedes

By Nick Halsey
Epic Circle Trace
A line passes intersects a circle at two points. Each point is located proportionally around the circle in terms of a given function of t. The path of the line’s movement is traced as t varies. Try changing/animating t. Can you figure out how each point is constrained, in terms of t? Look at the gx source file for the answer. Hint: look at the period of the movement, and how it changes as t changes.

Tags: Trace, puzzler, circle, proportional-points, functions

By Emily
First and second derivatives!
Enter any f(x) function and see the relationships of derivatives.

Tags: graphs, functions, derivatives, slope, concavity

By Larry Ottman
The Tangent Function
This app allows the user to explore the relationship between the unit circle and the tangent function. (F-TF 2, 3)

Tags: Functions, Common-Core, Trigonometry, tangent, Unit-Cirlce, radians


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