What do the math teachers, gifted coordinator (whatever title) and guidance counselor suggest?
It is the rare gifted kid who needs extreme acceleration, but those who do will thrive with it. Some kids already have the knowledge and skills to move ahead, others may get A’s but would do better sticking with 8th or 9th grade algebra. I know of a girl who did well with the acceleration and did a college math course by senior year. The gifted coordinator in our district (I was on parent committees) also said there were some kids who took 8th grade algebra and then did it as a HS freshman. They found that kids need a firm foundation to do well in later math classes. Getting an A without much time/effort is vastly different than spending a lot of time and effort. If you are forcing your child to do massive amounts of work then they just don’t get it and would be best off taking an extra year before tackling algebra et al.
Repeat- find out the advice of those in the school.
Do not push. Those that forge ahead are not being pushed, they are not being held back. We all like to think our kid is smart/gifted. The vast majority are not gifted, despite parents being medical doctors, PhDs and the like. My son is genuinely gifted but he also had the time to be a kid. Sure, we could have pushed every opportunity on him but it wouldn’t have worked. Do not get sucked into any prestige things either- no one cares.