; and (B) that may include a teacher organization or a nonprofit educational organization. (2) Family engagement The term family engagement means a shared responsibility of families and schools for student success, in which schools and community-based organizations are committed to reaching out to engage families, especially parents of non-Native English speakers, in meaningful ways that encourage the families to actively support their children’s learning and development, as well as the learning and development of other children. The shared responsibility is continuous from birth through young adulthood and reinforces learning that takes place in the home, school, and community. (3) High-need local educational agency The term high-need local educational agency means a local educational agency— (A) (i) that serves not fewer than 10,000 low-income children; (ii) for which not less than 20 percent of the children served by the agency are low-income children; (iii) that meets the eligibility requirements for receiving funding under the Rural Education Achievement Program under part B of title V of the Elementary and Secondary Education Act of 1965 ( 20 U.S.C. 7341 et seq.); or (iv) that has a percentage of low-income children that is in the highest quartile among such agencies in the State; and (B) (i) for which one or more schools served by the agency is persistently low achieving; or (ii) for which one or more schools served by the agency has a high teacher turnover rate. (4) Institution of higher education The term institution of higher education has the meaning given the term in section 102 of the Higher Education Act of 1965. (5) Low-income children The term low-income children means— (A) children from families with incomes below the poverty line (as defined by the Office of Management and Budget and revised annually in accordance with section 673(2) of the Omnibus Budget Reconciliation Act of 1981) applicable to a family of the size involved