Lesson Plans and Creative Lessons for Calculus and AP Calculus Classrooms

This lesson walks students through a classic optimization problem involving building a (lidless) box from a sheet of paper. The lesson uses a worksheet in The Geometer’s Sketchpad.

Students will explore some classic optimization problems using The Geometers Sketchpad. This lesson has students begin by exploring a pattern, then has them extrapolate their findings into a generalization about inscribed shapes. Extension questions are included.

This is a fun problem that has students investigate how many triangles they can create out of rods of various lengths. Students use the triangle inequality, and look for a pattern in their solutions.

Students find the area of an annulus and find that the result is unexpectedly intuitive.

A second problem to investigate the concept of linear programming

Students use the idea of volume of a cylinder to figure out the length of a single fiber of cotton candy.

A worksheet with five common optimization problems.

This lesson will explain the concept of a limit from various points of view.

This resource is a list sorted by subject and individual lessons that include web pages for students to obtain extra practice.