Your child, though, will probably encounter some of the same board and miserable feelings if she goes to college. I went to private school all of my life, and when I graduated, I got a two-year scholarship to our local Community College(same courses that Freshmen and sophomores take at the State college, of course). The first two of the three math courses I had to take consisted mostly of things I had learned from 9th-11th grade(What they called "college Algebra" was called "Algebra I" for 9th graders at my school). I was so board, but had to come to class to take the quizes and turn in homework. Yeh, I could have exempted them, but I still would have had to take other credits.
The sad part was that there were students who literally didn't know such simple algebra concepts as 4/2=2.
She did just fine in college. She tested out of the basics as fast as she could, took other classes, had a ball--the college she went to had professors who were delighted to teach her. Although she was diagnosed with rheumatoid arthritis a few years ago, there's nothing wrong with her brain, so she's now working for a very innovative electronics company. It's a good place for her. She can use her intelligence and her creativity. Talk about thinking out of the box! That's my kid.