I have two boys, too -- 7th and 10th grades.  I do have them follow a public school type of curriculum, because their plans change and I truly don't know what they will need in the future.  My older son is leaning toward linguistics right now, but last year he wanted to be a music editor.  So... I have him do the PS curriculum because who knows what he'll want to do next?  LOL! 

My goal is to train up my kids so that they'll have a choice. If they get to 18 and don't want to go to college, and do want to go to a vocational school (or whatever), then fine -- that's their choice for a career.  However, if they choose college and advanced education, then they're prepared for that as well.

That said, I adjust curriculum all the time to fit my kids.  Geography last year was WAY more fun for us when I introduced Netflix documentaries about various places on earth + used the book Material World, which shows families from all over the world posed with their stuff. What an eye-opener!  Both my boys liked it, asked for it, and I think it's helped my older son choose a career where he'll be traveling more.

PS requires two years of math; they don't say which ones.  My son worked his way through Algebra I last year and got an A.  Wow!  No help from me, I'm afraid.  This year he asked to be released from continuing on and gave me some well-thought-out reasons (including that he'll likely do community college which will require the types of basic math he's doing in high school).  We agreed to have him do A Beka's Consumer Math this year, which he enjoys and is MUCH harder than he expected, LOL!  Figuring out what an insurance company would pay for an accident left him with his jaw hanging down.

We utilize the kids' interests all the time for school.  My boys are interested in weapons and have quite a few knives and swords.  We found an amazing guy who teaches knife-throwing and quarter staff training who has an enormous collection of weapons. He lets the boys come over and train, and they spend a lot of time in the armory learning about weapons (which means they're learning about the battles/conflicts/wars in which they were used, which means they're learning history).  They get more from our friend than they'd ever get out of a book.

To me, the joy of homeschooling is the flexibility.  My younger son likes to get up, get the work done, and be finished by lunch, if possible (unless mean Mommy has assigned a paper to write).  My older son likes to sit down about 10, work for a couple of hours, eat, relax, play on the computer, work for a couple of hours, eat, relax, play on the computer, work... As long as he's done by 10:00 p.m. (lights out), I'm fine.  And as long as any input from me is done by about lunch time I'm okay too.  I've had to REALLY adjust to this; it is not my way at all.  However, he's getting his work done and maintaining high grades, so I'm letting him work it out. I just don't want to have to sit down at 9:00 p.m. and quiz him for a Spanish test.  That's something public school moms have to cope with.