That would be an amazing feat. Are you sure that your kids can handle imaginary numbers, simultaneous equations, the quadratic formula, factoring, completing the square, plotting functions, finding slopes ...?
BTW, I have a 4th grader grandson who is using Saxon Math and I hear it is quite good.
I'm also successfully tutoring a 12 year old grandson in Algebra I after pushing him through a 1 year Pre-Algebra book in about 8 weeks last summer. He is a 7th grader getting an A competing against the best of the 8th graders at his school.
No insult meant to BobL by any means, but it's NOT amazing, when you consider that public schools do so much damage to the love of learning in children by age 10.
If a child skips the "whole math" and that sight-see un-reading method, they may be able to accomplish quite a bit. And, if tutored by someone who knows math and can demystify it, calculus can be achieved quite early.
Ask most humble homeschoolers their observations. Those with supposedly "over-achieving" kids will tell you that it's not miraculous; it's just removing the artificial barriers placed in front of children in our current institutional educrat system.
Look at history, perhaps even just American history (not the new-and-rewritten version), and see what 16-year-olds were doing. What ships they were captain of, businesses they were running, etc. Makes our current crop of 16-year-olds look like a bunch of lazies and loosers.
Sorry to have to say it.
Pitiful.
A friend of mine is homeschooling his son who is about fifteen years old. He was used the Saxon math books and his son seems to be doing well. I examined the book used for 6th grade math. It was pretty good.
I’ve noticed with my kids that they can barely hang on to that level at age 11, but are quite at ease with Algebra and advanced math by age 12. There really is a required brain structure to handle the abstract stuff, and I don’t think you can get it in a normal brain until well after puberty begins.
And Saxon rules. Especially the Algebra II book.
“Are you sure that your kids can handle imaginary numbers, simultaneous equations, the quadratic formula, factoring, completing the square, plotting functions, finding slopes ...? “
I think that the rest of your post answers your own questions. Age really has nothing to do with it. The key is that they learn the fundamentals and build on them. As long as they’re big enough to lift up a pencil, they can learn math.
But, you do have to use the right curriculum. The stuff today being used in most classrooms is designed for ‘self-esteem’ and crap like that. It is NOT meant for kids to excel in. You must use Saxon, Russian, or Singapore Math, REGARDLESS of what the ‘experts’ tell you. THEY ARE LYING.