Can totally relate, @Mom2aphysicsgeek ! Holy cow, I was always running to catch up with my oldest, and there were years that I was flying by the seat of my pants, not knowing what to do with his rage to learn math, in particular. He took a very unschoolish, meandering path some years. As for his math/physics path:
By age 4, he would ask for “tests” while swinging, and he was doing mult./division/ square roots and so on. In K, he was in 3rd grad math, in 2nd, I made the jump to algebra, and we spent 3rd doing this fun “soft” algebra curriculum. In 4th, he did a semester of geometry taught by a college prof that homeschooled his kids for a year. Mu son also read a lot of math books and played math games over the years.
In 5th, I didn’t know what to do, so we repeated algebra with a deeper text. In 6th, my dad tutored him in Alg II/trig until my dad got ill, and then my son just did MathCounts. In 7th, he started calculus with a tutor who wanted him to go take Calc at the local UC because the tutor couldn’t teach him anymore, but we did not want that! We compromised and had him begin online community college classes starting with pre-calc. He also went to state MathCounts that year, but didn’t enjoy it. He also did physics that year.
In 8th, he did one semester of online Calculus at the local CC, and no math second semester. He audited a general physics class at a local Christian university for a year and loved it! He took the math II and physics subject tests along with Physics B AP that year. Summer after 8th, he took stats online at the local CC
In 9th, he went on campus of the local CC, taking Calc II, III, and two semesters of Calc-based physics and took 4 AP exams. 10th found him finishing all math and physics at the CC. Since we didn’t want him going away from home early (and we certainly weren’t in the position to move for his college), we found creative ways to meet his need to learn. He used an online math tutor/mentor for 2 1/2 years in a very unschoolish way covering things like more Dif Equations, Dynamical Systems and Real Analysis. He also audited three semesters of upper division physics classes at the local state univ and did physics research, as well as became a tutor for one of the upper division physics classes and actually worked for the univ for a semester. He rejoined math and physics competitions in 10th-12th, and those were probably the biggest academic challenges he had.
Never was there pushing; always there was a need to be creative and to find resources since we had made the decision to keep him home until age 18, and he was on board with that. He has friends that chose to graduate early because they did not want to be held back. Different scenario for different personalities. The boy in the article and his family clearly had a way for him to go to college early with the family nearby. It seems to have worked very well for them.
We stumbled upon a lot of this. For instance, after he ran out of physics classes mid-sophomore year, I had no clue what he was going to do for 2 1/2 years. He had taken bio and chem (and disliked them), but wanted more physics. So I looked at both state univ. and opted to contact a professor at the one very close by, explained the situation, he agreed to meet my son and let him audit and fully participate (tests and all), and then invited my son to do graduate level research the following summer-nothing I could have planned!
Sorry so long winded, but what I see about kids like the OP and many (but certainly not all!) gifted kids is their innate need to learn. Boredom has its place in birthing creative solutions, but if you bore a gifted kid too much, he/she might shut down. @rhandco , if your youngest is hungy for more advanced work, I would encourage you to explore the idea of moving her up, which might eventually necessitate going outside of the standard curriclum. While it’s true that schools like students to take the hardest curriculum, if a student is ready for more and they choose to go find it, I guarantee they will like that even better. And isn’t education about the learning rather than what colleges want to see anyways?