Ggoebel, thanks for your thoughts and ideas. I will check out all the books you mention.
You're right, we do have a good working relationship with this teacher and that is worth its weight in gold! I am so grateful for this. As for the principal, he has been welcoming and generally supportive but in a "hands off" kind of way. I get the impression he is happy to have another warm body in the school to boost his enrollment, but doesn't want to be directly involved in the process of what we're doing with DD. He has already said he can't promise me anything for next year (in terms of finding another teacher who is willing to let DD work ahead). I feel that I am better off just working out arrangements with the teacher and leaving the principal out of it. I have also found from experience with another school (the one we pulled DD from after the first three weeks of this year), that having a supportive principal is worth nothing if the teacher isn't willing to accommodate the plan. That is a miserable situation with resentments all around, and not good for the child.
Thanks for the suggestions on the classics. I will definitely start steering DD towards those types of books. Recently for "family reading time" (me reading aloud to all three kids, ages 5, 7 and 11) we have been reading through Roald Dahl's books. We have all thoroughly enjoyed Dahl's creativity and his inventive use of language! So far we've read: James and the Giant Peach; Matilda; The BFG; Charlie and the Great Glass Elevator... and have some other of Dahl's more obscure books lined up next.
Oh, thanks also for the feedback on ALEKS. I am very interested in this program. Do you (or anyone reading this) have any idea how ALEKS compares to the Accelerated Math program?