Section 4803. Board of managers

The board of managers of such school shall
  consist  of  not  less than five members to be appointed by the mayor of
  such city and of which board the superintendent of schools in  any  such
  city  shall  be  one member ex-officio.  Members of the board other than
  the said superintendent shall be appointed from  resident  taxpayers  of
  the  city  who  shall  serve for terms of four years commencing upon the
  first day of January succeeding the appointment.  Such terms shall be so
  arranged that the terms of no two of  the  members  so  appointed  shall
  expire in the same year, and for this purpose the terms of members first
  appointed  hereunder  shall  be as follows:  In case one member shall be
  appointed the term  shall  be  four  years;  in  case  two  members  are
  appointed  the  term  shall  be four and two years respectively; in case
  three members are appointed the term shall be four, three and two years;
  in case four members shall be appointed the terms shall be four,  three,
  two  and  one year respectively.  Such terms shall commence on the first
  day of January succeeding the appointment and their successors shall  be
  appointed for a full term of four years as above provided.  Appointments
  to  fill vacancies shall be for the unexpired portion of the terms.  The
  members of the board shall  serve  without  compensation.    They  shall
  receive  their  necessary  expenses incurred in the performance of their
  duties.  The amount of such expenses shall be charged against  the  city
  and  paid  in  the  same  manner as other city charges.  The board shall
  organize by the election of one of its members as chairman  and  another
  as secretary.