
06145588
j
2013b.00594
Reiter, Harold
Holshouser, Arthur
Vennebush, Patrick
Don't fence me in!
Math. Teach. (Reston) 105, No. 8, 594599 (2012).
2012
National Council of Teachers of Mathematics (NCTM), Reston, VA
EN
G40
C30
geometric concepts
plane geometry
secondary school mathematics
mathematics activities
teaching methods
manipulative materials
problem solving
computation
doi:10.5951/mathteacher.105.8.0594
http://www.nctm.org/publications/article.aspx?id=32490
Summary: Getting students to think about the relationships between area and perimeter beyond the formulas for these measurements is never easy. An interesting, nonroutine, and accessible problem that will stimulate such thoughts is the lattice octagon problem. A ``lattice polygon" is a polygon whose vertices are points of a regularly spaced array. Therefore, a ``rectangular lattice octagon" is a lattice polygon in which each of the eight sides is perpendicular to its adjacent sides. This article provides a framework for solving this maximization problem and other problems that involve lattice polygons. In addition, it suggests ways to use this problem in the classroom and offers related problems that students can investigate. (ERIC)