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Delving Deeper: Squares within Squares and Cubes within Cubes

Abstract

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.

Keywords: Non-routine problem-solving, Geometry

How to Cite:

Schwan, R. & Daye, S., (2023) “Delving Deeper: Squares within Squares and Cubes within Cubes”, Ohio Journal of School Mathematics 94, 31--40.

Rights: Ruby Schwan, Sarah Daye

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  • Ruby Schwan
  • Sarah Daye

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