They usually fall into the following categories:
Separate classes
Gifted students are educated in either a separate class or a separate school.
Montessori method
In the Montessori Method children are in classes of three age groups which gives them the opportunity to advance while they are still among children of their own age. The montessori method gives children a lot of freedom which is very useful to gifted children who often learn at up to twice the speed of the average child.
Acceleration
Pupils are advanced to a higher-level class which is covering material that is more suited to the pupils' abilities. Some colleges offer early entrance programs that give gifted younger students the opportunity to attend college early.
Pull-out
Students spend a portion of their time in a gifted class, with the rest of their time with their peers.
Enrichment
Students spend all class time with their peers, but receive extra material to challenge them.
Home schooling
An umbrella term encompassing myriad educational options for gifted children: part-time schooling; school at home; classes, groups, mentors and tutors; and un schooling. In many states, the population of gifted students who are being home schooled is rising quite rapidly, as school districts responding to budgetary issues and standards-based policies are cutting what limited gifted education program remain extant, and families seek educational opportunities that are tailored to each child's unique needs.
Summer school
This covers a variety of courses, such as CTY and CTYI that take place in the summer.
Hobby
Some sports like chess give an extra intellectual challenge after school hours.