Sounds typical to me. My daughter's K curriculum (through K12, online schooling) had what sounds like a lot more...in K, she had a full history course in which they not only learned the continents and oceans, but about 50 countries, flags, cultures, rivers, etc...and that was just history. In Language Arts they covered a variety of literature I would've never thought to read to a five year old. By the end of her K year she had her math facts memorized and could read.
Now, at the beginning of first grade, she's adding and subtracting two digit numbers where you have to carry a number, history has moved on to ancient Mesopotamia (for now), Language Arts is literally covering (for now) subject vs. predicate, nouns, verbs, adjectives, adverbs, alliteration in poetry, and complex critical thinking questions about literature. Phonics is going into the crazy rules...in science, they are measuring with grams, centimeters, milliliters, etc...and school just started a few weeks ago. In Art they are studying famous works and concepts/methods, in Music she is doing solfege and listening/critiquing classical music...and like I said, we're only about three weeks into first grade.
You aren't specific about what her school considers basic skills. I do know our local public K school teaches one letter a week, is doing "paint by numbers" to learn numbers and colors...and apparently, that's what they consider worthy of K. That's one of the reasons I chose online schooling, for the more advanced curriculum.
It actually sounds to me like your daughter is fine...at the start of K, it sounds like she knows everything she needs to. What are they saying she needs help with?
And I wouldn't be too concerned if they want to give her a little extra help...better that, and that she catch up and fly by everyone, than she fall behind.