Reported are methods of accelerating and individualizing science and mathematics curricula for extremely gifted junior high school students as developed by the Study of Mathematically Precocious Youth (SMPY) and the Intellectually Gifted Child Study Group. Given are examples of acceleration such as allowing the student to take more advanced courses in the standard sequence, taking advanced placement courses, taking special out of class college level courses, or receiving tutoring through the Oxford-Cambridge Tutorial Preceptory System of SMPY. A question is raised regarding the amount of laboratory work that is necessary for highly gifted science students. Sources of further information are provided. (DB)