Sec. 9. (a) Each teacher may be absent from work with pay:
(1) on account of illness or quarantine for ten (10) days the first year and seven (7) days in each succeeding year (referred to as "sick days" in this chapter); and
(2) for death in the teacher's immediate family for a period extending not more than five (5) days beyond the death.
(b) If the teacher does not use all the teacher's sick days in a school year, the unused days accumulate up to a total of ninety (90) days. However, each teacher shall be credited with the accumulative days accrued to the teacher on January 1, 1966.