I was working full time as a teacher when I homeschooled my daughter.
In the evening we would go over what she was going to work on and what resources she would use, then I left her to it. One time I came home and she had wired the house with a rudimentry alarm system because she was interested in learning about electricity, another time she did an exstensive pictoral representation about the history of rascism. Sometimes she was just mundanely working on a computerized math course. She wrote and directed two Fringe plays, created a video that won national awards and worked as a stage manager for a professional company during this time something she would not have done otherwise.
I didn't monitor her closely because I was more interested in her pursuing what interested her so she could regain the love of learning I saw her loosing in the reqular school. Luckily she is a deeply curious person so I didn't worry about lack of initiative. I just worried about getting the resources she needed.