This free classifying classic polar curves graphic organizer helps students organize and classify the classic polar graphs: circles, limaçons (inner loop, cardioid, dimpled, and convex), lemniscates, roses, and spirals of Archimedes. Each curve is shown with its general equation and a sample graph, so students can quickly see how the equation determines the shape.
How It Works:
Students use the organizer to compare the equations and graphs of each type of polar curve, noting what makes each one unique, such as the ratio of a to b for limaçons or the number of petals on a rose. It makes a great reference sheet for students to keep in their notebooks or binders while graphing polar equations, and it works well as a review before a quiz or test.
This organizer works very well with Pre-Calculus Unit 7: Polar and Parametric Equations.
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