Except as otherwise provided in this chapter, as used in this chapter—

(1) the terms “elementary education” and “secondary education” have the meaning given such terms under State law;

(2) 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; or

(B) for which not less than 20 percent of the children served by the agency are from families with incomes below the poverty line;

(3) the term “institution of higher education” has the meaning given such term in section 1001 of this title;

(4) the term “Secretary” means the Secretary of Education;

(5) the term “State” means each of the 50 States, the District of Columbia, and the Commonwealth of Puerto Rico; and

(6) any other term used that is defined in section 7801 ¹ of this title shall have the meaning given the term in such section.