If it's any consolation, on the debacling thing, we made the same mistake three times ;D
small one is not that great at it though
3yo sounds like my eldest at the same age, people would be astonished at his eloquence. Could she string sentences together at 1?
You did spell algebra wrong but that's fine as long as you can do it ;D
it was the only type of maths I could actually do
Now if you decide to stick with the homeschooling you're going to both have the time of your life and wish you'd just packed her off to school all the way through (especially when she hits the teens and decides that she knows better than everyone about everything XD).