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Polar Graphs: Rose Curves and Lemniscates

Andy Dorsett
Organization: Wolfram Research, Inc.
Education level


Students will be able to recognize from the equation whether the polar function is a rose curve, lemniscate, limašon, or a circle, and determine information about the polar graph, such as orientation, radius, diameter, number of petals, etc. from the equation. Students will also learn how to plot these graphs using Mathematica.

This notebook covers topics that fulfill the following NCTM standards:
  • Algebra 9ľ12: understand patterns, relations, and functions
  • Algebra 9ľ12: use mathematical models to represent and understand quantitative relationships

*Education > Precollege
*Mathematics > Algebra
*Mathematics > Geometry > Analytic Geometry
*Mathematics > Geometry > Trigonometry

Pre-Calculus, Algebra 2, College Algebra, Trigonometry, Analytic Geometry, Polar Graphs, Polar Equations, Rose Curves, Lemniscates, Petals, Symmetry, High School, Precollege, NCTM
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PolarGraphsRoseCurvesLemniscates.nb (1.2 MB) - Mathematica Notebook