TWIST (offered to student teams quickly accomplishing the goals of the project):
Because the color of the clay impacts the color of the flash of light, the toy manufacture eventually intends to offer the clay in a wide variety of colors. Provide recommendations for a cost-efficient package for several of the individual containers.
(Note to Teacher: The need to maximize volume while minimizing surface area blends algebraic functions and geometry. This PBL is designed to create a bridge between the investigation of linear functions and the introduction of the quadratic functions that can model the relationship between volume of open boxes formed from a given sheet of paper and their varying lengths.