Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they create a scatter plot and regression curve for the possible volumes. 

Concepts

math modeling, polynomial equations, regression analysis, cubic functions, volume

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Additional Tags

math

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Instructional Ideas

• Make the task a competition: the box with the maximum volume wins
• Ask each group to share their strategy for finding the maximum volume of their box

Classroom Considerations

• Pupils need construction paper, scissors, and rulers for the activity

Pros

• Includes step-by-step activity instructions
• Provides a set of problems for independent practice to solidify concepts from the activity

Cons

• None

Common Core

HSN-Q.A.2 HSA-SSE.A.2 HSA-APR.B.2 HSA-APR.B.3 HSA-APR.D.6 HSF-IF.C.7.c MP3