My son never skipped a grade but was placed in Alebra as a fifth grader. While school placement is OK, we find that he needs additional challenes to really stay interested in math.
Look into www.artofproblemsolving.com , they offer classes as well as excellent books that your mentor might want to use.
An interesting way of exploring math is through solving problems from different competitions. You will find tons of old problems posted online. I am against using a formal textbooks for working with a mentor.
We have also worked hard at starting a math circle at a local university. I am thrilled to report that our efforts have been
succesful and today is the first meetingfor the kids !