A school district or other public or private nonprofit school or agency receiving reimbursement pursuant to this article shall meet standards adopted by the Superintendent for all of the following:

1. (a) The definition of a “nutritionally adequate breakfast.”
2. (b) The definition of a “nutritionally adequate lunch.”
3. (c) Standards for determining the eligibility of children to receive free or reduced-price meals.
4. (d) Standards for the protection of the identity of children for whom reimbursement is made pursuant to this article.