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Mathline

Roll Out the Barrel
Computation and Estimation

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Objective

Students will apply mathematical modeling to solve a real-world problem.

Overview of the Lesson

Students are presented with a problem in which their manufacturing company is given two options for storing oil barrels. These options include a square storage unit and a rectangular storage unit, (twice the area of the square unit). Their task is to decide which of the storage units will provide the most inexpensive space to store 125 containers. Students are provided 35mm film canisters and paper mats to model storage arrangements for each unit. Students find that the arrangement of the cylinders in the storage unit will affect the cost. Students work in small groups collecting the data, performing the necessary computations, and constructing reasons for their unit selection.