Polar Function Graphing

① This example demonstrates an interactive polar equation grapher in GeoGebra, allowing users to input custom theta min/max values and observe the curve being traced dynamically. ② Core mathematical concepts include polar coordinates, polar equations r=f(θ), the relationship between angle and radius, and how parameter ranges affect the shape of the graph. ③ Construction highlights: uses Textfield and InputBox for user input, CurveCartesian to convert polar to Cartesian coordinates for plotting, Rotate and Angle to visualize angular components, buttons (button1-5) to control trace display/clearing and animation, a slider (speed) to adjust drawing speed, and objects like t, A, r, B, C, D, E, F to build dynamic geometric relationships. ④ Suitable for high school or early college students learning polar coordinates and function graphing, as well as for teachers demonstrating how changing parameters in polar equations alters the resulting curve.