Delving Deeper: Squares within Squares and Cubes within Cubes
Keywords:Non-routine problem-solving, Geometry
This article examines the steps to find out how many squares can be drawn within a 100 by 100 array of points. Strategies of pattern analysis and organization are discussed, and the problem is then extended to include a spatial awareness component. The writers solve these fascinating problems step-by-step and then explain how they could be implemented in the high school Geometry classroom.
Ohio Department of Education. (2017). Ohio Learning Standards for Mathematics. Ohio Department of Education.
Stevenson, F. W. (1997). 25. Squares within Squares and Cubes within Cubes. In Exploratory Problems in Mathematics (pp. 87–88). Essay, National Council of Teachers of Math.
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Copyright (c) 2023 Ruby Schwan, Sarah Daye