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Sixth Grader wants to take high school algebra next year??

My sixth grader really wants to take high school Algebra next year in seventh grade. She had to make an 85 on two tests or she wouldn't get in. On one of the tests, she made a 100%, but on the other, she made a 73%. Her teacher doesn't understand why she made the 73% and thinks she makes stupid mistakes because she goes too fast. She is willing to recommend her for Algebra regardless of the scores, but I have to write a letter to the principal. My daughter is crying and begging to take the class but I don't think it is a good idea to push her beyond her capabilities. Her friends all got in and I think this is more of a friendship thing than an I love math thing. I am torn. Any advice would be appreciated.