State law requires a health screening prior to entry (which may or may not specifically include vision, hearing, dental, or BMI exams).
New Mexico Administrative Code 184.108.40.206 Requirements
A. Target population for required screening: All public school students enrolled in pre-kindergarten, kindergarten, first grade and third grade including new students and transfer students in those grades shall have a vision screening test administered unless the parent (guardian) affirmatively prohibits the screening.
New Mexico School Health Manual
Manual addresses preventive health screenings at one or more time during elementary school.
New Mexico Statutes 22-13-30. Vision screening.
A school nurse or the nurse’s designee, a primary care health provider or a lay eye screener shall administer a vision screening test for students enrolled in the school in pre-kindergarten, kindergarten, first grade and third grade and for transfer and new students in those grades, unless a parent affirmatively prohibits the visual screening.