Rectangle Maker: Area Approximation

This GeoGebra example dynamically constructs rectangles to visually demonstrate the concept of upper and lower sums (Riemann sums) for approximating the area under a curve. It involves core mathematical concepts such as rectangle area, area under a curve, Riemann sums, and the geometric definition of the definite integral. The construction utilizes GeoGebra commands including Segment, OrthogonalLine, Point, and Intersect to dynamically generate rectangle vertices and compute total area. Ideal for high school calculus introduction, it helps students grasp the definition of the definite integral and the process of area approximation through interactive geometry and algebra.