Plotting Polar Coordinates: Interactive Introduction

① This interactive example demonstrates how to plot points using polar coordinates, allowing learners to visually grasp the correspondence between (r, θ) and positions on a plane. ② Core mathematical concepts include the definition of polar coordinates, measurement of angle and radius, coordinate conversion, and the relationship between polar and Cartesian systems. ③ Construction highlights: using GeoGebra commands such as Ray (for the polar axis), Circle (for radius), Rotate and Angle (to construct angles), Textfield and InputBox (for interactive input), Intersect and Dilate (for locating points), Vector and Line (to show geometric relations), and Mirror (for symmetry operations), creating a dynamic adjustable environment for polar plotting. ④ Suitable for middle-to-high school mathematics (analytic geometry or trigonometry) and introductory college-level coordinate systems, ideal for classroom demonstrations or self-guided exploration.