I don't homeschool, but we are seriously considering this.
One of my daughters would do math, and the other would read some stuff on the computer. However, I think mostly they would sit around and do art projects.
I think my son could sit on the computer playing games all day long for many months if I let him.
We thinking of homeschooling my daughters, and I've already been asking them what they would like to learn. So far the leading topics are volcanoes, Egypt, and sea animals.
That's the beauty of homeschooling, you can tailor it to the individual child. Math and Language (writing/reading/grammar) are non-negotiable. But until they get to jr high or high school you can really let them take part in deciding what science and history studies will be learned. I guarantee they'll remember more than any of us remember from 5th grade social studies.
My son balked every time I assigned him a book to read. It was such a battle. I was picking all the books at this point. One day a couple of years ago at the library he picked up the Jessica Lynch bio (he's a military/war story buff, even when he was in fifth grade). He wanted to check it out. I laughed to myself....I cant get him to read a 100 page book and I think there was like 250 in this one. Well, to my shock and pleasure he read it in two days! I immediately began letting him have some input in his reading list. Some things are mandatory, but most are ones of his liking. We also have the luxury of choosing topics that we're interesting in and parking on them for weeks at a time. We still cover the other basics, but it allows for much more love of learning for the kids when they can actually do something they enjoy. It also helps us recognize their strengths and help them develop those areas where theyre likely to end up in a career one day. I'm not so much worried about how many facts my kids have memorized and forgotten byb the time theyre 18....I want them to have a broad knowledge base and mainly to know how to think. That way they can go into any college program and learn the particulars in their chosen field.