Each grade level has a set of standards that are taught during the school year.  You can read more about the specifics of California Common Core State Standards (CCCSS) for Kindergarten by clicking the links below.

English Language Arts http://http://www.cde.ca.gov/be/st/ss/documents/finalelaccssstandards.pdf

Math Standards http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf