On March 29, 2009, I gave a brief lecture,under fifteen minutes in length, in an attempt to introduce a twelve-year old to number theory. The dinner hour was approaching, so I knew I had only a few minutes. We spent most of the time on mathematical induction, proving a basic identity.
You can hear the lecture by clicking on the link at the top of this post.
He is very bright, as you can tell when you listen to his comments near the end.