Violence

My latest idea was to encourage teenagers to practice their math in preparation for the SAT, and to help review the topics that would be covered on the test.  My plan was to make a "raising pets" game where you do math problems in order to gain experience for your pets and in-game currency for yourself.  After my presentation, my classmates brought up the point that high-schoolers may not be all that enthused about raising pets.  Which is a very valid point.

Professor mentioned violence.  I love violence.  High-schoolers love violence.  High-schoolers hate math.  So let's use high-schoolers' love for violence to override the hate for math.

With that in mind, I'm now envisioning a game where you have a ninja (or any type of fighter, really), and you kill stuff to get stuff.  You have a limited amount of energy to do stuff per day, but you can regenerate energy by doing math problems.  Also, in order to progress to the next level, you need to pass an "exam," which will be just a mini-practice-SAT.  The exams will start extremely easy and get steadily harder, and later exams will continue to incorporate types of problems that were missed on the previous exam--thus, if you already know the math, you can go ahead and level up to the stuff you don't know, and you can still pass to the next level if you miss a few questions, you'll just need to keep doing those types of problems.  The idea is that practice will eventually make the user better at math.