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first grade... how to keep up with his academic needs... working 4th grade math
You may wish to look into Gifted Homeschooler's Forum (GHF) website and fb.

Many families also find Homeschool Legal Defense Association (HSLDA) helpful.

Although testing and documentation may not be required in your state, because you mentioned you may like your child to attend a private school with a scholarship (which can be quite selective) and/or enter college early, it may be in your best interest to keep excellent records.