If the course is less than level seven then you, as partner, are not eligible for a visa, as far as I know. Is this what you mean by 'under level 7'?
This is the relevant section of the operation manual -
Unless WF4.5 applies, partners of:
people granted student visas to study for a level 7 or higher qualifications in an area of absolute skill shortage as specified in the Long Term Skill Shortage List (see Appendix 4); or
people granted student visas to study towards postgraduate qualifications;
may apply for and be granted a multiple entry work visa under these instructions.
Note: In order to be eligible for a work visa under (a)(i) the qualification undertaken by the student visa holder must be specified on the Long Term Skill Shortage List at the time the work visa application is submitted.
Here is the link.
http://www.immigration.govt.nz/opsmanual/46524.htm