Interactive

Absolute Extrema and Optimization: Building the Biggest Box

Curated and Reviewed by Lesson Planet
This Absolute Extrema and Optimization: Building the Biggest Box interactive also includes:

Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume for the box and find the extrema. They determine which extrema values provide the greatest volume.

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Instructional Ideas
  • Lead a discussion on what it means graphically to find the optimization value
Classroom Considerations
  • The class should know how to calculate volume of a right prism
  • Requires signing up for a free CK-12 account
Pros
  • Provides some hints for problems
  • Allows students to view the correct answer
Cons
  • None