Teacher Peter
Independent Work?

Never help a child with a task at which he feels he can succeed.
— Maria Montessori
https://hollismontessori.org/blog/2018/2/13/independence-and-the-montessori-child
I don't usually assign homework in my class, for many reasons. My main reason is that it's never been proven to be effective at the elementary level. More here: https://www.alfiekohn.org/homework-myth/
According to Dr. Maria Montessori, "work" is a task that is "freely chosen" and helps a child develop according to their needs at a particular time. I do like to assign Habits.
Daily reading should be a HABIT, just like brushing your teeth, getting dressed, daily writing etc.
If your child IS interested in doing more Math or other Montessori work at home, there are many "Montessori like" apps that are available for free on your Apple/android device. Many are not very good. However, here are two that I know have been developed by Montessori teachers and very closely mirror the experience children have in the classroom:
Large Bead Frame (For +, -, X, and Division)
Checkerboard (mainly for multiplication)
Can't think of your own BIG numbers for problems?
Math Aids is a free website that I use to create custom Math worksheets for my students in grades K - 12. Even if you don't have a home printer, you or your child could design a custom set of problems, take a screenshot and work at home.