.The public schools will likely not deviate from the Algebra II/Geometry/Pre-calculus/Calculus sequence in grades 8-11.
Have they told you this or is it an assumption? I’d certainly find out for sure before making a decision.
My DD13 is 2 grades advanced and still getting 100% on everything. But rather than even more acceleration, we decided on enrichment. She’s taken Number Theory, Game Theory, Combinatorics, etc. through AoPS, CTY, and others. We also found a local ARML team where she’s covering advanced topics with college grad student teachers, and alongside a member of the US math olympic team. Building a broader base and skill set, rather than running through the curriculum, is preferable, IMHO.
Search for an article titled “The Calculs Trap”, which explains this approach very well.
