You mentioned that she isn't learning anything at school. How does she feel about this? Is she happy at school? At home?
Can your family afford homeschooling? Are there homescooling networks near to you?
I think homeschooling won't be a problen for a shy kid if you are willing and able to haul her to homeschooling activities. The social time is richer often.
A good place to start is to call the gifted coordinator at the school and ask for a grade skip. That will get the ball rolling for IQ testing and maybe choosing teachers who will be more thoughtful. Read through the posts here about advocacy and homeschooling. Look at your state education website to see what the state policy on gifted student is. Join your state gifted association and attend their programs and ask around. Call the flagship state university and see if they have someone to advise you.
That AR problem has happened to many gifted kids. Lots of gifted kids who are not prodigies need modifications in their educational plan.
Keep posting and letting us know how it goes.
Grinity
