My kids rarely choose academic things in the summer. I throw a little writing at DS 11 occasionally because he struggles greatly with penmanship and going a full summer without picking up a pencil is bad news come fall. Last summer he chose to complete the 6th grade math curriculum so he could start 6th grade in pre-algebra. DD 15 did the same thing prior to 6th grade. She took a summer when she was 5 to learn cursive and last year she took a high school summer playwriting course. In high school, they usually have summer required reading and an essay to do. That's about it for the academic things they have ever done in summer over the years.
They spend their summers doing interest based activities (which can suck up 20-30 hours a week) and relaxing.
We've been mostly an unschooling family, so our summers are really no different from the rest of the year, except that over the years they've been an opportunity to participate in some wonderful music, theatre and martial arts programs. This year with two kids in school I don't foresee much difference. The kids will do a week or two of music workshop. Maybe another week of sports- or arts-related camp. Nothing else structured, though. I'm a big believer in fallow time. I find it's what my kids need in order to recharge, enjoy themselves, fire up their imaginations, and become fully self-motivated creative thinkers and doers.
Miranda in rural BC, Canadamom to three great kids and one great grown-upunschooler, violist, runner, doc
We math, spelling, and grammar over the summer.
The truth may be out there but lies are in your head. Terry Pratchett
We'll probably join the local library's summer reading club again, and pick up one of those summer bridge activity books just so he doesn't get too rusty.