Welcome, Callie, I don't know anything abou the MAP so I can't address that. I would think about going deeper and wider rather than accelerating. For example, he could dabble a bit in geometry or looking at how to find the square root of numbers (mine loved this when we did it), or even working in Roman numberals instead of integers. Like, what is IV + II, without converting it to what is 4 + 2. We did that for a while as well.
Sorry I don't have much more to offer. I"m sure someone else will have words of wisdom for you.
