My son who is just finishingh fourth grade has been demanding harder math problems than he gets in school. He learned how to calculate square roots by hand from

My son who is just finishingh fourth grade has been demanding harder math problems than he gets in school. He learned how to calculate square roots by hand from a YouTube video and enjoys doing these problems on his own, checking his answers against a calculator. When I pick him up from school, when we’re walking home, he demands that I teach him algebra. I’ve taught him how to solve basic linear equations (ax + b = cx + d) and also I have him take a number and try to find all the sums and differences of pair-wise factors (I haven’t told him why but people who remember high school algebra will recognize this as a skill essential to factoring quadratics) We’re going to learn Trachtenberg Speed Math over the summer. He also enjoys coding and I remember being astonished watching him—without guidance—figure out how to rewrite a program he’d done in Scratch using Python (although right now JavaScript has become his favorite language). I’ve not pushed him into any of this (I really would prefer that he not pursue programming as a career as I fear that we’re heading to a dark ages of software development, but he can do what he likes). His twin sister, meanwhile, has been demanding that I teach her social studies so I’ve been doing my best to give her bits and pieces of history and government from my memory. She doesn’t demand the math, but I’ve noticed that she is paying attention during the algebra on the walk lessons as she’ll occasionally jump in with an answer herself. My purely selfish side wouldn’t object to them skipping a grade as my ex-wife seems committed to them doing K–8 in private schools (even though our local public schools are quite good except at the junior high level, but 6–8 is hell at any school) and skipping a grade would save me a year’s tuition expenses.