Patterns in Mathematics -- Logic Patterns


$Introduction$ $Logic Patterns$ $Number Patterns$ $Word Patterns$



	Here is a math problem you may have seen. There are 28 students in your classroom. On Valentine's Day, every student gives a valentine to each of the other students. How many valentines are exchanged? How would you solve this problem? George Pólya, a mathematician famous for problem solving, said that when you have a tough problem you should make the numbers simpler. Twenty-eight may just be too many! Let's change it: There are five friends. On Valentine's Day, every friend gives a valentine to each of the other friends. How many valentines are exchanged? Before you proceed $next$ solve this problem and keep track of how you did it.