; and (bb) who is a member of a household (as that term is defined in section 245.2 of title 7, Code of Federal Regulations (or successor regulations)) with a child described in item (aa). (II) Other children The term eligible child includes a child who is eligible for and receiving medical assistance under the Medicaid program under subclause (I) of section 1902(a)(10)(A)(i) of the Social Security Act ( 42 U.S.C. 1396a(a)(10)(A)(i) )— (aa) on the basis of receiving aid or assistance under the State plan approved under part E of title IV of that Act ( 42 U.S.C. 670 et seq.); (bb) by reason of section 473(b) of that Act ( 42 U.S.C. 673(b) ); or (cc) under subclause (II) of section 1902(a)(10)(A)(i) of that Act ( 42 U.S.C. 1396a(a)(10)(A)(i) ). ; and (B) by adding at the end the following: (iii) Without further application The term without further application has the meaning given the term in paragraph (4)(G). ; and (2) by striking subparagraphs (B) through (H) and inserting the following: (B) Agreement For the school year beginning on July 1, 2020, and each school year thereafter, each State shall enter into an agreement described in subparagraph (C) with the 1 or more State agencies conducting eligibility determinations for the Medicaid program. (C) Procedures (i) In general Subject to subparagraph (D) and paragraph (6), an agreement entered into under subparagraph (B) shall establish procedures under which an eligible child shall be certified as eligible, without further application, for— (I) free or reduced price lunch under this Act