This placement is based upon previous performance in math courses, and in some cases, on standardized tests and personal interviews. Incoming freshmen are placed according to performance in elementary school and on an entrance exam. Thus, a student signing up for Algebra I will be placed in a grouping where he can perform well and also face sufficient challenge to keep him interested. A well-qualified eighth grader may, with approval of the department, enroll in Algebra II. Mathematically gifted students may take two mathematics courses during the sophomore year with the approval of the department.