The members shall be appointed by the governor subject to confirmation by the senate. Prior to appointing the ninth member as specified in section 262.1, the governor shall consult with the appropriate student body government at the institution at which the proposed appointee is enrolled. The term of each member of the board shall be for six years, unless the ninth member, appointed in accordance with section 262.1, graduates or is no longer enrolled at an institution of higher education under the board’s control, at which time the term of the ninth member shall expire one year from the date on which the member graduates or is no longer enrolled in an institution of higher education under the board’s control. However, if within that year the ninth member reenrolls in any institution of higher education under the board’s control on a full-time basis and is a student in good standing at either the graduate or undergraduate level, the term of the ninth member shall continue in effect. The terms of three members of the board shall begin and expire in each odd-numbered year as provided in section 69.19.