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.
Blankety-Five Squared is a fun game that will teach you to square two-digit numbers that end in five.
Assorted problems of the day from Highland Middle School.
Can this be done?
Determine the largest six-digit number that can be written following two simple rules.
Interactive math lesson on the addition of integers.
Submit your idea for an investigation to InterMath.