(A) Records sufficient to demonstrate that the pupil or, if the pupil has not reached the age of majority, the pupil's parent, guardian, or educational rights holder, has consented in writing to the course for the purpose of improving a lower grade;

(B) Records sufficient to demonstrate that a school official has determined that the pupil will benefit from being assigned to the course period; and

(C) A written document maintained at the school in which the principal or assistant principal of the school states that, for the relevant school year, the school has met the conditions in subdivisions (b)(2)(A) and (B) for each and every pupil then being assigned to a course that the pupil has previously completed and for which he or she received a grade determined by the district to be sufficient to satisfy the district's minimum requirements for high school graduation and to satisfy the requirements for admission to the California public institutions of postsecondary education, and that no pupils are being assigned to such a course because there are not sufficient curricular course offerings for the pupil to take during the relevant period of the designated school day.