If the change to an elected school board is approved by the voters, the appointed members of the school board in office at the time of the referendum approving the change shall continue in office for the balance of their appointed terms except that each term shall expire on the December 31 immediately succeeding the June 30 expiration date for the appointed term. In the event of a vacancy in an unexpired term of any appointed school board member, a replacement shall be elected at the next regularly scheduled general election to fill the remainder of the term. No special election shall be held, however, if the general election at which it is to be held is scheduled in the year in which the term expires. At the first and each succeeding November election, one school board member shall be elected for each position on the school board occupied by an appointed member whose term expires the following December 31 until the school board is composed entirely of elected members. Successor school board members shall be elected each November for four-year terms commencing on January 1 of the year following the election. The requirement of subsection B of § 22.1-57.3 that the same number of members of the governing body and school board be elected at each November election shall not be applicable.