ABSTRACT
Let’s start by investigating a problem we call the Triangle Game. The Triangle Game shows that a mathematics problem may not have just a single answer and that some solutions to a problem can lead to other solutions as well as intriguing new questions in a direct and interesting way. The Triangle Game illustrates a fundamental mathematical idea: it shows that a problem can be presented to elementary school students in the third or fourth grade and can be solved mainly by trial and error. As the problem is approached in a more sophisticated way, we can use fundamental tools from algebra to reduce the trial-and-error approach to the actual solution.
