Hi! I'm actually not a homeschooler, but I poses question about course documentation (specifically self-studied courses) in another forum and was directed to ask you knowledgable people here.
Basically, I ran out of math course at my local high school last year, and my school had neither an existing dual enrollment or independent study program and my guidance counselor unexpectedly left so I had no way to ask her to help me plan (Sorry for the excuses, no more, I promise!) I self-studied two math courses under the guidance of my dad, using textbooks and MIT's opencourseware. This year I worked with my guidance counselor to get an independent study plan approved for next year.
My question now lies in how I would mention this to colleges on my application. I'm not looking for credit as I want to retake these courses as a prospective applied mathematics major wherever I go so I cover the material in a more rigorous manner, but I don't want the admissions people to think that I slacked off and gave up on math my junior year.