; and (B) (i) for which one or more schools served by the agency is identified by the State for comprehensive supports and interventions under section 1111(c)(4)(D)(i) of the Elementary and Secondary Education Act of 1965; or (ii) for which one or more schools served by the agency has a high teacher turnover rate or is experiencing a teacher shortage in a high-needs field, as determined by the State. (17) High-need school (A) In general The term high-need school means a school that, based on the most recent data available, meets one or both of the following: (i) The school is in the highest quartile of schools in a ranking of all schools served by a local educational agency, ranked in descending order by percentage of students from low-income families enrolled in such schools, as determined by the local educational agency based on one of the following measures of poverty: (I) The percentage of students aged 5 through 17 in poverty counted in the most recent census data approved by the Secretary. (II) The percentage of students eligible for a free or reduced price school lunch under the Richard B. Russell National School Lunch Act. (III) The percentage of students in families receiving assistance under the State program funded under part A of title IV of the Social Security Act. (IV) The percentage of students eligible to receive medical assistance under the Medicaid program. (V) A composite of two or more of the measures described in subclauses (I) through (IV). (ii) In the case of— (I) an elementary school, the school serves students not less than 60 percent of whom are eligible for a free or reduced price school lunch under the Richard B. Russell National School Lunch Act