Even if that 125 is right on target (and I'm not saying I think it is), it seems to me that this is still a situation where a grade skip would be in order. It is pretty clear from the achievement scores that your child has already mastered most, if not all, of the K skills, (and probably many or all of the first grade skills). So why would you want to repeat those K lessons? Give your child a chance to work with material that won't be so boring or even insulting or depressing. If the level of giftedness really isn't too extreme, this single grade skip could end up being enough to accommodate the need for acceleration for at least a few years, if not most of elementary school. And if you are right, and the LOG is higher, then it may be that another skip will be in order during this school year, and it will almost certainly be easier to get that from first grade than from K.