Seems like "gifted" to me. I agree with others that it's the curiosity and making connections that seems key.
We didn't test for IQ until 6 1/2 because we wanted a good chance at a stable result.
Also agree that an appropriate educational environment is key. I think learning style and intellect are important. For instance, my DS does well in a Montessori environment because it tends to be self paced, and he is an organized, competitive, self starter. We have friends with kids of similar intellect who thrive in accelerated, traditional classrooms.
We looked, not only at acceleration, but curriculum. I wanted a Singapore math program because it tends to be visual and (I think) extremely analytical. I wanted a reading and language program that is engaging and teaches strong, quality writing. Whatever profession DS pursues in the future, he will need to be a critical thinker with advanced writing/presentation skills. To me, it's just a "given."
