I am not trying to give you flak but I don't understand why either of your daughter would be taking a course to "get ready for this algebra/geometry combo". Particularly if they already took AOPS Pre-Algebra outside of school last year, then repeated Pre-Algebra in school this year, what is there to get ready for? This seems to be a very painfully repetitive way to do math - particularly if they are GT math students. You can always test your DD with AOPS pre-tests to make sure they are ready for the next course and post-tests to make sure that they have learned the material from a previous course. I would also suggest quickly passing alcumus Pre-algebra topics but it would be redundant in their case since they already did AOPS Pre-Algebra last year.
Please note that I am not anti-summer math at all, but let them learn new interesting material like discrete math topics or let them develop problem solving skills with math competition level problems. As you are on this forum, your kids must be brighter than the average bear so why would they need to spend double the time and repeat double the work?
