The AP program is modular -- students take courses and exams they are in interested in and ready for. Some gifted students will prepare for the exams on their own, without taking a course. The IB program is broader and has components that are not strictly academic, such as the CAS requirement
http://www.ibo.org/diploma/curriculum/core/cas/Creativity, action, service (CAS)
The CAS requirement is a fundamental part of the programme and takes seriously the importance of life outside the world of scholarship, providing a refreshing counterbalance to academic studies.
Creativity is interpreted broadly to include a wide range of arts activities as well as the creativity students demonstrate in designing and implementing service projects.
Action can include not only participation in individual and team sports but also taking part in expeditions and in local or international projects.
Service encompasses a host of community and social service activities. Some examples include helping children with special needs, visiting hospitals and working with refugees or homeless people.
Students are expected to be involved in CAS activities for the equivalent of at least three hours each week during the two years of the programme.
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I prefer the AP approach, but it's a matter of the values of the student and parent.
