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Relationships
Between Area and Perimeter
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In this activity, students explore the
relationships between area and perimeter by fixing one value and
maximizing the other. Mathematical Topics: Students will explore the relationship between perimeter and area of rectangles, use algebraic language to express the relationship, and the first derivative to maximize the general form of the area equation. Mathematical Thinking: Students will conjecture a relationship between area, perimeter, and the length of side x and will formalize the relationship using algebraic language. Technology: Students will use (and create) an interactive template to change the parameters in a maximization problem in order to look for patterns and generalizations. The template includes scroll bars and a geometrical representation of a rectangle. Students will also use several java applets for supplemental investigations.This file can be freely downloaded from: Microsoft Excel Interactive Projects
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Back to Project Activities | Back to Math Homepage Send questions or comments here. Last modified on July 27, 2001. |
