She's obviously bright, but I've never been sure where she falls when you start to slice things more thinly--it's been hard to tell if she is a garden-variety, academically oriented, motivated kid of educated parents or something more unusual.
This is a wonderful observation, and exactly what the 'Talent Search' testing is all about. The idea is to take all the kids in the top 5% in ordinary school testing, and let them take an 'above level test' of things they haven't been taught and see how much self-teaching they've done - including what they can do spontaneously from learning from the test itself!
see http://en.wikipedia.org/wiki/File:Talentsearchmap.png
to see which region you are in and look up the name of the particular group.
Most likely this sort of testing will lead to summer and various enrichment programs outside of the school day.
Best Wishes,
Grinity
