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My daughter “Kay” is taking AP Calculus A/B. She is the only AP Calculus A/B student, and her teacher is using a new book and finalizing the curriculum as Kay goes through it. Kay’s teacher has told her she does not need to do several sections of her calculus book for the AP test. My daughter checked with the college board, and then emailed the textbook author, and it turns out her teacher is unfortunately mistaken.
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My daughter is planning to simply study the missing sections herself. The problem is that next year, if Kay gets the good score I expect she will get, her teacher will assume the curriculum was sufficient as is, and the teacher will almost certainly not realize she is not teaching critical information. In general, the teacher is terrific, but she hates to be corrected. What should we do? I certainly don’t want to tell Kay to annoy her teacher, but I also know my daughter, and she will feel very guilty next year if she ends up accidently sabo