Squares and Differences
Pick any number. Subtract one from the number to create a second number, and add one to the first number to create a third number. For example, if 6 is my first number, then 5 is my second number and 7 is my third number.
How is the square of the first number related to the product of the second and third numbers? Is this relationship true for all cases? Explain your reasoning.

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.
Integer addition
Interactive math lesson on the addition of integers.
Submit your idea for an investigation to InterMath.
