need to go that far.. we are in Penfield NY a suburb of Rochester. Pittsford HS (also in Rochester) is constantly rated one of the best high schools in NY. There is also a school in Buffalo (City Honors School at Fosdick-Masten Park) that is ranked very high in the nation.
DD read at 2 and skipped 1st grade. In 8th grade she took Geometry, Biology, and Spanish (although she could have taken French). While this is an advanced schedule about 40 kids took it so it is not unusual. There are AP classes for every subject starting in 10th grade. Finding things to challenge her has not been a problem. I know there are some classes that you can take in correlation with local colleges here, but we aren't to that yet so we haven't looked into it.
I think a large public school in a nice suburb would most likely meet your needs. Our school is not uncommon for our area. The Davidson Institute looks amazing but is only for the top 1% of kids. The SAT would be the entrance exam I believe. (DD took this and was close, but not quite there last year.)
While Ivy League schools will look at schedule and grades, she will also need to be well rounded. Is she doing any clubs and volunteer work?
Good luck!
This is an important point I think.
You say she wants to go to Harvard - that's a nice goal to have, it's a lovely school. However, it honestly doesn't matter much what she does or how fast she does it, her chances of getting into Harvard are incredibly slim regardless, so I wouldn't encourage an idea that she can get in if she just... whatever.
Their acceptance rate was running someplace <7% last I saw. That's 7% of kids who all had reason to believe they had enough of a shot that they went to the trouble and expense of applying to Harvard.
Even for kids with perfect SATs, 5.0 GPAs, who are 14 and play three instruments, it's still a low, pretty random chance as to whether they'd get in. I mean anyone may, just saying I'd not raise her expectations too highly that it'd be a lock for her.
I know kids with very, very high test scores, grades, great recs, from fantastic schools - who have everything from captaining teams to building houses for the poor in Ecuador or whatever, who don't even bother applying to Harvard, because they figure it's like buying a $75 lottery ticket.