N.H. Rev. Stat. Ann. § 278:6

Related and supplemental instruction for apprentices, coordination of instruction with work experiences, and the selection of teachers and coordinators for such instruction shall be the responsibility of state and local boards of education. The state department of education shall be responsible and make provision subject to the department's decision on the allotment of its funds for related and supplementary instruction for apprentices as may be employed under apprenticeship programs registered and approved by the OA.