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Maximum Volume & Area with the Geometer's Sketchpad

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Visit this site: http://mathforum.org/sketchpad/maxvol/

Author:David Purdy, Wisconsin Heights High School, Mazomanie, WI
Description: Common in calculus and advanced algebra texts, these well-known optimization problems now appear in high school geometry texts as interesting explorations that integrate measurement, model building, polynomial functions and use of the graphing calculator. David Purdy's sketches offer another way to view view and explore kind of problem. Construct the largest box possible from a 10-inch-square piece of flat paper; fence in the largest possible area, using only 20 linear meters of fencing material for three sides of the pen, and the barn for the fourth side.

Levels: High School (9-12)
Languages: English
Resource Types: Lesson Plans and Activities, Problems/Puzzles, Documents/Sketches/Galleries, Geometer's Sketchpad
Math Topics: Polynomials, Measurement, Higher-Dimensional Geometry, Euclidean Plane Geometry

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