Chapter 1: Constructions

This GeoGebra example demonstrates a composite construction involving equilateral triangles, rectangles, and trigonometric functions, likely as part of an introductory chapter on geometric constructions. The core mathematical concepts include geometric construction of equilateral triangles and rectangles, the arithmetic mean, and the visualization of upper and lower Riemann sums for a trigonometric function. The construction uses GeoGebra's basic drawing tools to create the shapes, and likely employs sliders or sequence commands to generate the Riemann sum rectangles, illustrating how the area under a curve can be approximated. This resource is suitable for high school or early college students learning about the connection between geometry, functions, and introductory calculus, and can serve as a hands-on exploration or classroom demonstration.