My DS6 was in K and 1st last year and neither grade had any real homework. No required reading time either.
That being said, every few weeks he would bring home Everyday Math worksheets to be completed. I only had him complete the 1st grade ones. The K teacher seemed fine with it. Most of the Everyday Math homework in K was more about number concepts. For example: one asked that you allow the child to play in water with various containers, another asked the child to count the number of steps from one place in the home to another. IMO, things we had done with our children since they were 2 years old. The first grade ones were only slightly more challenging. DS6 hated doing them.
Also at the beginning of the year in K we did get a list of sight words the children should work on weekly to be completed by end of year. Since DS6 read them all perfectly on the first day I threw the list away. Same with the first grade "difficult words" spelling list. I had DS6 spell them in the bathtub one evening and then threw the list way.
My DD5 is actualy attending Montessori K this year I already know that they do not get any homework except a few family "projects" near the end of the year.
