A Rotation–Sector Construction Linking Ratios, Expected Value, and Frequency Dis

This GeoGebra task demonstrates how rotating rays and constructing circles and circle sectors can visually encode statistical ideas such as ratios, expected value (expected value representation/weighting), exponent-based weighting, and frequency distribution. The underlying math concepts include Ratios, Expected Value, Exponent, and Frequency Distribution, with geometric measurements connected to the Pythagorean Theorem for consistent length/scale relationships. Construction highlights: it uses Rotate, Ray, Point, Segment, Circle, Intersect, Polygon, and CircleSector to place key points, draw rays and segments, create circles, compute intersection points to anchor the structure, and build polygonal regions and sector shapes that act as the geometric metaphor for frequency/weights. The construction is suitable for secondary-level math enrichment, probability & statistics visualization, and curriculum units that connect geometry, measurement, and model-based interpretation.