Delving Deeper: Squares within Squares and Cubes within Cubes

Authors

  • Ruby Schwan student at Miami University
  • Sarah Daye

Keywords:

Non-routine problem-solving, Geometry

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.

References

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.

Downloads

Published

2023-08-02

How to Cite

Schwan, R., & Daye, S. (2023). Delving Deeper: Squares within Squares and Cubes within Cubes. Ohio Journal of School Mathematics, 94(1), 31–40. Retrieved from https://ohiomathjournal.org/index.php/OJSM/article/view/9536

Issue

Vol. 94: Summer 2023

Section

Articles

License

Copyright (c) 2023 Ruby Schwan, Sarah Daye