I've been tutoring a 3rd and 4th grader for over a year. The students I tutor get homework each week on Monday and have to hand it in on Friday. Their homework has activities on three areas spelling, mathematics and integrated studies.
Spelling usually consists of L.S.C.W.C, reading and activities involving their spelling words. There's usually no creative or essay writing. Any writing tasks are usually just incorporating spelling words into a sentence. At a 4th grade they know nouns, adjectives and verbs and therefore tend to learn about adverbs, pronouns, conjunctions, etc. I wouldn't suggest essay writing unless they're being taught that in class at the time which so far I haven't heard of being done thus far. Mathematics focuses on multiplication, division and problem solving/ application. (e.g. Ben has a dozen eggs and wants to share them with his 4 friends, how many could he give each friend?) Integrated studies is usually where more lengthy writing occurs. It tends to cover current events or topics they're studying (endangered animals, the Olympics, geography, etc.) For example, the child I tutor had to invent a new sport and write about it and another activity was writing a letter of encouragement to an Olympic athlete.
This is just my experience in tutoring primary school students who go to a public government school so what homework children get will probably vary depending on the school.
Anyways, hope that helps you.
