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Patterns in Perfect Squares: An Activity for Exploring Mathematical Connections

Jeff Farmer, Andrew Neumann 

November 2004, Volume 98, Issue 4, Page 260

Abstract:
A versatile mathematical problem that begins by asking students to find patterns in a list of perfect squares. The representations and explanations of those patterns can lead to connections between many mathematical concepts. The patterns are represented algebraically, geometrically, and pictorially. Patterns with multiples and arrangements are explored while developing reasoning and communication.

Keywords:
Article
Algebra
Communication
Grades 9-12
Geometry & Measurement
Teacher
Problems
Theory
Representation
Number Patterns
Number Theory