Which of the following is a reason a school may disclose personally identifiable information without consent?

Disclosing personally identifiable information without consent for emergency purposes, such as potential self-harm, is justified under certain circumstances as it falls under the exceptions provided by FERPA. When there is a legitimate threat to a student's immediate health or safety, schools are permitted to share relevant information with necessary parties to protect the student or others. This aligns with the principle of prioritizing student well-being in crisis situations, allowing school officials to act swiftly to provide the necessary support or intervention.

In contrast, the other choices involve routine administrative practices or evaluations that generally do not qualify for the same emergency exemptions under FERPA. Administrative record-keeping, academic performance evaluations, and enrollment in educational programs typically require consent from the individual and do not arise from a direct threat, thus not permitting disclosure without prior consent in the same manner as matters concerning safety and emergency situations do.