A packet is given on Friday that is due the next Friday; they typically include Math, Grammar, and Reading.
Third graders do not take home their chromebooks; they are left charging overnight in a cart in the classroom. It is one less thing they need to worry about when they're getting familiar with upper elementary.
Our two 4th grade homeroom teachers and two 5th grade homeroom teachers all teach both grades.
Yes, some subjects have finals at the end of the school year. The 5th graders take an on-level and off-level math final to help determine their placement for 6th grade (along with other data).
It depends on the subject area; they receive math homework every night.
Students have the option to take home their chromebook, as long as they remember to bring it back charged every day. There are also carts in each classroom for students to choose to leave it here overnight.