Why can't she start Algebra on her own?
If she is that ahead verbally and that motivated, then she would likely be able to work through Pre-algebra this summer and then do Algebra on her own next fall. Then keep moving through the sequence. Some kids are able to do Alg 1,II, and geometry in a year on their own. If she skips 7th to HS then she would go into Pre-Calc as a Freshman then do Calc as a 10th grader.
Math is cumulative. If she can handle a rapidly accelerated pace, then she should just keep going. Then do dual enrollment. A mentor at the college level can arrange appropriate materials for math.
As for HS electives, chem, bio, physics - if they go through AP will work. But she may run out of things to take. I exhausted all my STEM electives at my HS by my Jr year.
Here is a success story along the lines.
http://www.palmbeachpost.com/commun...dy-heading-to-mit-1406226.html?sort=desc
