I don’t have a large family, but as missceegee mentioned my kids can do SCM family work independently. How old are your kids? My 5th grader is mostly independent. This is what he does pretty much on his own:
Math-U-See: I just watch the video of new concept w/him once a week, then he’s pretty much independent. I just grade and do corrections w/him.
Grammar: He used Jr. Analytical Grammar this year. I just do corrections w/him…he reads and does lessons on his own.
Science: We use Apologia Elementary. I bought the notebooking journal. He follows the schedule on his own and I just listen to narrations and help w/experiments, as needed.
History/Geo.: SCM module. We did module 2 this year. It was 4 ch. of Story of the Greeks each week, so I just scheduled him to read 2 ch. on 2 days per week, plus always had one of the age appropriate books going.He just narrates what he reads. He did the Geography Notebook(Middle East) on his own.
Bible: Unfortunately we had to drop this from the module because he may go to private school for high school and I’m trying to go through the modules a little more quickly. But he reads a devotional and from the Bible on his own. And we have family devotions w/dad.
Voc.: Wordly Wise. Workbooky:)
Literature: Ongoing classics on his own.
Writing: Writing Tales, pretty much independent. Plus a weekly written narration from history reading.
Spelling: Spelling Workout 2 days per week(workbooky/independent). Spelling Wisdom(dictation) w/me 2 days per week.
Spanish: Duolingo (free online and independent)
Piano and Drum practice
The only things I do w/him are Scripture Memory, English from the Roots Up, Logic w/sister, a read aloud of literature or character book, and the arts(which I haven’t been as consistent w/as I’d like). And of course, listening to above narrations and helping him when needed. His school day is only 3-4 hours per day.
With kids not reading yet, of course it’s more challenging. I have a friend w/8 kids and she follows Managers of Their Homes. She schedules out 15 min. increments all day so that during any given time frame she may be working w/eldest on math, another child is working independently on something, another child is playing or helping a younger child, etc.
Hope you find a good fit for your family! Blessings, Gina