State law requires a health screening prior to entry (which may or may not specifically include vision, hearing, dental, or BMI exams).
Ohio Revised Code 3313.673 Screening of beginning pupils for special learning needs.
(A)Except as provided in division (B) of this section, prior to the first day of November of the school year in which a pupil is enrolled for the first time in either kindergarten or first grade, the pupil shall be screened for hearing, vision, speech and communications, and health or medical problems and for any developmental disorders.
Ohio Revised Code 3313.674 Body mass index and weight screening.
(A) Except as provided in division (D) of this section, the board of education of each city, exempted village, or local school district and the governing authority of each chartered nonpublic school may require each student enrolled in kindergarten, third grade, fifth grade, and ninth grade to undergo a screening for body mass index and weight status category.
Ohio Revised Code 3313.69 Hearing and visual tests of school children - exemptions.
The board of education or board of health providing a system of medical and dental inspection of school children, as authorized by section 3313.68 of the Revised Code, shall include in such inspection tests to determine the existence of hearing and visual defects in school children. The methods of making such tests and the testing devices to be used shall be such as are approved by the department of health.