; or (ii) receive benefits under a means-tested Federal benefit program while the student is enrolled in an undergraduate academic program leading to a degree. (C) Attended a public or nonprofit private secondary school, in which the enrollment of children counted under a measure of poverty described in section 1113(a)(5) of the Elementary and Secondary Education Act of 1965 exceeds 40 percent of the total enrollment of such school. (D) Are first generation college students. (10) High-need local educational agency The term high-need local educational agency means a local educational agency— (A) that serves not fewer than 10,000 children from families with incomes below the poverty line; (B) for which not less than 20 percent of the children served by the agency are from families with incomes below the poverty line; or (C) that is in the highest quartile of local educational agencies in the State, based on student poverty. (11) High school The term high school has the meaning given the term in section 8101 of the Elementary and Secondary Education Act of 1965. (12) Historically underrepresented student The term historically underrepresented student — (A) means a student, or a prospective student, at an institution of higher education who is at risk of educational failure or otherwise in need of special assistance and support