1770 would not get you into ivy league schools without a waiver or being on their football team.
Forget about Ivy League, 1770 isn't even getting you into flagship state schools. I know kids who were rejected from Penn State (Main Campus) with scores in the 2000's.
I think what they're doing to this kid is cruel. Let him be a kid. If he's got a lot of spare time on his hands, let him build things or figure out some iphone hacks or something. And then, at 15 or 16, if he still wants to be accelerated, let him head off to Stamford or MIT for some real challenges.
http://grad-schools.usnews.rankingsandreviews.com/best-graduate-schools/top-science-schools/quantum-physics-rankings
And none of those schools would accept an SAT score of 1770 for admission to their physics programs. To get into MIT for instance, the top ranked school for mathematics and physics, the low end of the SAT scores is 2180.
MIT, Massachusetts Institute of Technology
Critical Reading: 670 – 770
Mathematics: 740 - 800
Writing: 680 – 770
The mean average SAT scores of all students obtaining college admission is 1500. That includes low level state schools, 2 year colleges and community colleges. An SAT score of 1770, while quite impressive for an 11 year old, is not all that impressive among serious college bound students especially those seeking degrees in the hard sciences.
My concern is that by pushing him to attend college at 11 years old, with his mother by his side attending classes with him BTW, that he will only go so far before burning out, or maturing as he should in a more age appropriate setting even if among other very bright 11 year olds, that he’ll get an advanced degree from a low level school and then what?