This is the solutions from a set of scaffolded tasks that enable students to investigate patterns in the Wheel of Theodorus. This provides purposeful practice of Pythagorean theorem. Buy these solutions or the whole set of tasks as a bundle.
A Mathematics Investigation of maximum possible area of different 2D shapes with a given perimeter. Students can determine the area of each and make a conclusion about which of the shapes will have the highest possible area. Requires trigonometry for the pentagon/hexagon/octagon.