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[quote=Anonymous][quote=Anonymous]Op here.  Thanks for the suggestions. I’m not sure how far he could realistically be accelerated.  I could potentially have him take Alg I in 6th grade- which I’m certain he would test into. But then he would be placing into calculus by 9th grade, then what?

Perhaps math competitions would be an avenue to explore.  Those with experience, tell me more.  I’ve never heard of these.  How do we get involved? Any ones you recommended? We are in Midwest [/quote]

Check with your school system about classes at the local community college. Perhaps your school system offers multivariable calculus and/or linear algebra in high school. Those would be the logical next steps after AP Calc. You can also inquire about research programs. There are several at the national level (MIT-PRIMES, PROMYS, Euler, HCSSiM, Ross Mathematics Program) for high schoolers and possibly some motivated 8th graders. I wouldn't be surprised if your local university has one of these or at least a Math Circle, which is a terrific way to learn about formal math in the real world (Nim style games, graph coloring, algebraic number theory).

Math competitions are open to everyone. You can download pretty much the entire set of past competition problems to see if this is your kid's cup of tea. Many schools have clubs (AMC-8/Mathcounts in middle schools; AMC-10/12/AIME in high school). These competitions cover most of the material in school but are quite different and challenging - getting students to think beyond what they learn in class and how to apply the concepts. AOPS online is a great resource, especially the forums. [/quote]

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