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Tool: Cartesian Graphs and Polar Graphs
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Go to: http://www.keypress.com/.../CartesianPolarGraphs.zip (opens a new window)
Description:

Students compare rectangular graphs and polar graphs for functions of the form y = a sin(bx) and r = a sin(b?). Students analyze how the period and amplitude of a Cartesian graph correlate to features of the corresponding polar graph. The link to the tool itself is to a zip file that contains both the sketch and a pdf file of the corresponding activity.

This is a free sample activity from Exploring Precalculus with the Geometer's Sketchpad.

Technology Type: Sketchpad 
Authors: Key Curriculum Press/Daniel Scher
Scott Steketee
Paul Kunkel
Irina Lyublinskaya
Language: English 
Cost: Does not require payment for use

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Activities: Exploring Precalculus with The Geometer's Sketchpad
Cartesian Graphs and Polar Graphs
Courses: Trigonometry Polar Coordinates, Graphing Equations