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Maximizing & Minimizing the Area of Rectangles Given a Fixed Perimeter (SMILE)

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Visit this site: http://www.iit.edu/~smile/ma9601.html

Author:Tim Amrein, Franklin Fine Arts Center
Description: A lesson for grades 5-8 designed to teach students to analyze and solve problems in which rectangles with identical perimeters are compared to maximize or minimize area; collect data and search for patterns and generalizable relations; represent problem situations with models; analyze fixed perimeter problems using x,y coordinate graphing; and find fixed perimeter rectangles with maximized or minimized area using qualitative and quantitative analysis. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.

Levels: Fifth Grade, Middle School (6-8)
Languages: English
Resource Types: Manipulatives, Lesson Plans and Activities, Problems/Puzzles
Math Topics: Measurement, Euclidean Plane Geometry, Graphing of Data

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