My son just turned 13, he's "in" grade 7 (though we're all over the map of course). He's never been to school, but I think he wouldn't do well... he has ADHD and Asperger's, and one of the BIGGEST issues he has is lack of self-motivation. It's part of how his brain is wired, the "executive function" doesn't work well, so he even has a hard time organizing and accomplishing tasks he WANTS to do.
It's taken years of experimentation, but we've found that he actually does do best with independent studies rather than me "teaching" him or parent-directed coursework. In order to keep him on the ball, I use homeschoolskedtrack.com to schedule his assignments in great detail -- he needs things broken down into small steps or else he's overwhelmed, can't figure out how to break it down himself. Each morning he gets a printed checklist of his assignments for that day. He's free to do them in whatever order he wants and take as long as he wants -- BUT he's not allowed on the computer games or onto Facebook (just turned 13, just joined, he's rather enamored of it lol) or other electronics stuff until his work is done.
It's even not too big of a deal if he doesn't finish ALL his assignments for that day -- maybe we went out to do some errands instead, or he wasn't feeling well, or he didn't finish before his other activities started, etc etc... The website automatically carries over every assignment that didn't get finished and shifts the whole schedule to adjust. :)
We keep each assignment pretty brief. Many are just 5-10 minutes. Stuff he likes better, like his computer programming course, I give him about a half hour. He has about 4 hours per day of assigned work, but 1 hour of that is music practice (he has 4 instruments to practice!!) and it also includes music theory, reading, knitting, etc. Not all of it is traditional "seat work".
Usually he's done by 2 or 3 pm, but when he's really motivated (like today) he's often done by lunchtime.
Sometimes I look at what he's done in a day and think 'gee, are we doing enough?' But over the course of a year I see his progress and I'm satisfied. We do standardized testing each year as well (optional for us but we like it) and he consistently scores through the roof heh...
We do a wide variety of courses. Some are things I insist on - like math, though I've worked hard to find math resources he enjoys. Others are things he's chosen, like the computer programming course, and for instance right now he chose a unit study on World War II history. And just about everything is designed for self-study. I just check in now and then to make sure he's understanding things alright.
I'm not suggesting you follow our method exactly -- just saying that yes, it's possible. :) You might need to use a carrot, and it's up to you and your daughter to determine what kind of carrot will work best for her. I've tried things like tying his allowance to how much work he got done, for instance... wasn't our best solution but it might be for someone else. Some families use 'workboxes' instead of a checklist. But in general, I'd say that as long as the kid is INVOLVED in the choice of subjects to pursue and how to go about pursuing them, feels they have some control over their education, motivation is less of a problem than people often expect. Some kids don't need any monitoring at all, but manage their own studies completely on their own.
You may benefit from a 'deschooling' period before launching into studies anyway, and during that time of decompression and relaxation, you can start to talk with her about what the best way to proceed will be. And if you try something and it ends up not working, the great thing about homeschooling is that you can always change it and try something else. :)
