Squares+and+Square+Roots

=__**Squares and Square Roots**__=

The Locker problem is a fun way for students to recognize that numbers that have an odd number of factors are perfect squares. I give 10 students reversible signs that say "Open" on one side and "Closed" on the other and have them "act out" what happens with the first few people.

The "Stories" include a chart that students can use to record what is happening with the lockers in the locker problem. I give each student group a locker number to "tell their story"- for example, if your group had locker 14 you would say that it was opened by 1, closed by 2, opened by 7 and closed by 14 so now it is closed.

-"extension" - trick for determining roots of perfect squares between 100 and 10000