I just want to advocate for my daughter if she is gifted or just let her be a very bright child, if she is not.
Your daughter seems bored and is ready for more. The school's achievement testing appears to back it up. Honestly, I'd start from there. Speak to the teacher again, and move up from there if you meet more resistance. If the school can't meet her needs and you start thinking about private school, then do so. You have evidence of achievement. I would start there -- IQ aside, the test scores should make it clear that she should be able to handle more and that grade-level instruction is not well suited to her needs.
