K 15 years ago used to be about school readiness, phonemic awareness, nursery rhymes, and social skills. Most Title I schools I know did not offer remediation to K classes because K was simply too early to start worrying about reading.
These days, if your child starts K not knowing all letter sounds, letter names, and numbers, he or she may qualify for remedial services. It's not that K teachers expect entering students to be able to read novels but they expect them to be able to read beginning readers.
I haven't noticed much difference in math curriculum, however. From what I hear from moms around me, they find their children to be open to learning letters using flashcards but run away when they try to teach them math.
