What precalc text are you planning on using? Unless it's a very advanced one I'd just go for it now. I'd expect a lot of the algebra portion of it to be review already. AOPS intermediate algebra covers all of the algebra portion of a standard precalc text and more. If you find any holes, you can always go back to fill them in.

Exponent worksheet generator -- http://www.homeschoolmath.net/worksheets/exponents.php In general if you know what you need specifically, googling ______ practice worksheet will bring up useful results. I'm sure Key to Algebra would help as well but this is completely free :P

They're really dated and omit a huge amount of great modern literature. Don't waste your money on it. You can implement this just as well with library books yourself. Ambleside online has more books, better books (still a bit dated), and is free, but I would still add more modern books as well. AO is religiously based if you read their site, so you may have to pre-read (you can't just hand everything to your kids) but still a pretty good place to start. Math: Consider MEP maths, which is a great program and free except for the printing. Math Mammoth is another very affordable alternative -- you can buy everything for under $200, covering grade 1 through pre-algebra, and it would be usable for all your kids. https://store.kagi.com/cgi-bin/store.cgi?storeID=5KN_LIVE&page=Math_Mammoth_LightBlue_Series

I also think it sounds like Saxon is not a fit. I'd use any program you think will be a fit, except for something very heavily topic-based like MUS (swapping out of that one can cause problems). If he has any gaps the incremental nature of Saxon will fill them in when he gets to the school.

I use both shall and shan't.

They're covered in algebra 2, in 5.1.5 and 5.2.3 -- did she do their algebra 2? The way you're saying "both algebra and geometry" makes it sound like she just did an algebra course and a geometry course, in which case it is not at all surprising that she is finding precalculus overwhelming.

Imo he'll need physics even more for that, so I'd still go with physics.

https://math.dartmouth.edu/~matc/math5.geometry/ Interesting program for her. I don't think I'd use it to replace a high school course but units would be very awesome added to a geometry class.

There's actually a lot of math involved in computer generated art. It may be something she's interested in. Architecture also might be a possibility. In the long term, I know many people who are a professional x and a very talented amateur artist as well. It's challenging to make a living doing that but it's something that works very well added on to a day job.

For some kids it really works better to let them jump into the deep end and fill in the gaps as they go, rather than work for a gap-free education. I was one such. If he is chomping at the bit I would let him try. If he gets frustrated and needs to back off he will appreciate why he needs to fill in those holes more, and if he does not get frustrated clearly he did not need to fill them in.

Yeah I don't eat much in the way of fruits either. They're generally more expensive and lower nutrition than vegetables, and unlike vegetables the frozen ones don't tend to save much money so it's an issue if you shop seldom :P As far as getting in vegetables, I do pretty well on raw numbers (you don't want to know how many pounds of broccoli I go through in a week) but rather less well on variety simply due to income constraints. I figure getting the quantity in is better than doing nothing because the variety is expensive. I do almost solely frozen. I do baked vegetables most days -- I just toss a bag of frozen on a baking sheet and put it in the oven until it's at the desired level of cooked. This feeds my laziness and also is nutritious. I also do a lot of soup/stew and I just throw chopped greens, onions, and tomatoes into everything I make. When I was using the usda food tracker they tracked lentils as part meats and part vegetables so I believe they should count as well. I don't care for salad or any raw vegetables outside of carrots and tomatoes so I just don't eat them. Maybe it would be healthier to do that but again, I'm not letting the perfect be the enemy of the good.

Algebra 2 and precalc very commonly cover a lot of the same material, just precalculus does it faster and harder. I'd be surprised if they didn't look somewhat similar.

They've backed down on that recently -- http://well.blogs.nytimes.com/2015/02/19/nutrition-panel-calls-for-less-sugar-and-eases-cholesterol-and-fat-restrictions/?_r=0

Maybe, if you're good enough at math and work hard enough to fill in any holes. Going from algebra 2 to college precalculus is unduly challenging for most people. I'm going to list off the biggest things that cause people to really struggle in my precalculus class if they are not rock solid (I teach this class very frequently). 1) Fractions. You really need to be able to do fractions unthinkingly. 2) As an extension of fractions, you need to be able to manipulate rational expressions without struggle (not necessarily unthinkingly). 3) Multiplying polynomials and especially expanding squares. Multiplying something like (x+1)^2 and getting x^2 + 2x + 1 needs to be automatic. 4) Factoring. You need to be able to do factoring quickly. It's ok to have to think about the more challenging ones but you should be able to whip out a factorization of x^2 - 3x + 2 or a similar quadratic immediately. 5) Cartesian coordinates and equations of lines. Again, these need to be drilled enough to be nearly unthinking. 6) Functions. Even though they are taught in this class, it is almost certainly a quick review. It is very common (for example) for people to try to evaluate sin (A+B) by doing sin A + sin B, because it looks like multiplication. They do the same thing with square roots and logarithms. 7) Did I mention fractions? Lack of geometry is not usually an issue although you should have some idea of the concept of proof when we get to trigonometric identities. The most geometry we use is usually similar triangles, vertical angles/transversals, the distance formula, and the Pythagorean theorem.

I do eat the same thing many days. It's always meat + a vegetable, but it very often ends up being broccoli and chicken legs because I like them, they're nutritious, and they're cheap. I have this for breakfast and supper. I'm adding in a starch lately because I need to not lose weight, and that's variable -- it's been a potato or some rice lately. Lunch is a lot more variable.

I can't see why it would be illegal. If I write a text it's because I not only think that this is the best way to teach the class, but I think that the other textbooks out there are so far away from what I want to do that I cannot make them usable (it really is an immense undertaking).

Look up Semple Math -- one of my friends uses it for her kid with a similar IQ and swears by it.

Instructor. Tried using MyMathLab for the first time last semester. Had to shift gears mid-semester because of abysmal grades on the midterm even on students who had been doing well with the online homework. Came in and explained to the class that clearly this was not working and since I was concerned about their grades we were shifting to a mixed system. Trying it again this semester and it's going better. What I'm doing is assigning the single-step problems with numeric answers on MML as a primer, to be sure they're on the right track, and then hand-grading the more involved problems. The jury is still out since it's mid-semester, but these are the best hand-graded assignments I've gotten.

Consider a book like this -- http://www.amazon.com/Just-Algebra-Trigonometry-Calculus-Edition/dp/032167104X

I'd also recommend checking out thrift stores if that's at all a possibility, as many people will be selling off summer clothing at this time of year.

Restrict topics started by new accounts to one per hour or somesuch. Genuine new people will be only mildly inconvenienced.

For cheddar, I have always found Cabot's Adirondack cheddar to make a pretty creamy sauce. I usually use a mix of that and Muenster. It's one of the few cheddars that really melts enough to make a proper grilled cheese sandwich as well.

I found Mathematica incredibly easy to learn.

I liked the movie quite a bit. Personally I loved the corny lines :D

Yes. If you run into a college that won't recognize them, they probably are too unused to dealing with academically talented/accelerated kids to be a good fit anyway. Latin would actually be a great one to continue because of it being a non-spoken language. You can probably find a classicist somewhere who would be interested in doing an independent study/reading via correspondence with a talented and enthusiastic high school student. I mean, you'd still have to pay them, but it's the easiest to do via correspondence. By the time he gets to HS, another option for continuing foreign language study might be a summer exchange program, if it is financially and otherwise feasible.