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activity has students write equations and draw circles using the Cartesian,
parametric, and polar coordinate systems. It also asks students to explore
translations and rotations of polygons.
Mathematics Topics: Students generate Cartesian, parametric and polar equations of circles. They also work with parametric equations to translate and rotate polygons generated from circles.
Mathematical Thinking: Students generate equations, connect equations and graphs, revise equations
Technology: Graphing calculators are used to draw parametric and polar graphs and trace points.
Sample Screenshots: Below are screenshots of: (1) circles generated from Cartesian, parametric and polar equations respectively, and (2) several polygons generated from altering the parametric equations and/or steps of the original circle.
Figure 1. A circle in three coordinate systems.
Figure 2. Three variations of the circle.
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Last modified on August 15, 2001.