Final answer:
The school's policy permitting student-led, student-initiated prayer at football games may violate the Establishment Clause of the 1st Amendment.
Step-by-step explanation:
The school's policy permitting student-led, student-initiated prayer at football games may violate the Establishment Clause of the 1st Amendment. The Supreme Court has ruled in cases such as Santa Fe Independent School District v. Doe (2000) and Lee v. Weisman (1992) that prayer in public schools initiated and led by students or school authorities constitutes an unconstitutional establishment of religion. While a school cannot prohibit voluntary, non-disruptive prayer by its students, organized or facilitated prayers by school authorities, even in off-campus or extracurricular activities, may violate the Establishment Clause.