I did not have any success getting our (public) school to provided differentiated material for my kids. When DS6 was in K (half day), he just did whatever the class was doing, i.e. mostly crafts, coloring, listening to stories, singing. I would pick him up for lunch and then we would do "afterschooling" which was math workbooks (Singapore Math) and reading at his level.
Ultimately, we decided to try a gradeskip for him because the school wouldn't do subject acceleration. His writing was weakest, but is good enough
and he is doing well in the higher grade.
DD10 has a much more scattered profile of strengths and weaknesses, so acceleration wouldn't work for her without a lot of accommodations which the school is unwilling to provide. She self-enriches pretty well at home, though, and seems happy at school.
