Difference of Squares
What positive integers can be written as the difference of the squares of two integers?

Extensions 
What positive integers a, b, and c satisfy the equation a^{2} + b^{2} = c^{2}? Can you identify more than one solution? Explain.

Related External Resources 
Digits, squares, and cycles
Explore fascinating patterns that lurk among the digits of whole numbers.
Blanketyfive squared
BlanketyFive Squared is a fun game that will teach you to square twodigit numbers that end in five.
Assorted problems
Assorted problems of the day from Highland Middle School.
Can this be done?
Determine the largest sixdigit number that can be written following two simple rules.
Submit your idea for an investigation to InterMath.
