If the board increases the number of directors under Section 3843.051, the board shall appoint qualified persons to fill the new director positions and shall provide for staggering the terms of the directors serving in the new positions. On expiration of the term of a director appointed under this section, a succeeding director shall be appointed and qualified as provided by Subchapter D, Chapter 375, Local Government Code.
Tex. Spec. Dist. Loc. Laws § 3843.052