OP, it’s called a homework diary.
Ermmm no it's not.
I really wish some posters would get their heads out of their arses and realise the world doesn't follow only their own experience.
Some 4 yos and older get on a school bus. Some go by taxi,some are taken by parents,dome walk by themselves.
Some reading records/home diary serve as both.
Some schools have homework diaries.
Some school have homework books,reading records AND a home/school communication diary.
Some school have teacher's emails available to staff.
Some schools have an open door policy. Some only by appointment.
Some schools might actually want constant updates, some just the important/urgent stuff if you can't chat with the teacher.
The list goes on.
Some have a mix of everything in between or something i haven't encountered yet. It's possible.