<p>kyle -
“However, neither of my teachers in those areas really know anything about me.”
This is something that you can do something about. You can provide your math or science teacher with your list of extracurriculars, and mention which teachers do know you well. Spend a little time discussing Chicago - and your interest in math - with your math teacher. Just because he is distant doesn’t mean he is not capable of writing a good letter, given the pertinant information. In fact - if he is not asked to write a lot of letters, he may do a better job on yours if he does not have a pile of them to do.</p>