Any Unknown or Unlisted Aircraft Manufacturer
Flight Crew Commercial; Flight Crew Flight Instructor
Communication Breakdown
Conflict NMAC; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Took Evasive Action
Procedure
Following a weather brief ( winds 130/03) and unicom radio check (in which we were confirmed to be 'loud and clear' by the FBO dispatcher); my student and I declared on the CTAF frequency that we were taxiing from the FBO tie downs to the run-up area for runway 5. Prior to entering the taxiway from the tiedowns; both my student and I cleared left and right for traffic on the taxiway. After our engine run-up; we announced that we were taxiing from the run-up area to runway 5. Prior to takeoff; we heard another pilot announce that he was landing on runway 5. While holding short of 5; we cleared the approach end for 5 and 24 and announced that we were departing runway 5. There were no additional radio calls from time of  taxi to takeoff; other than 1 inaudible transmission. Shortly after departure (I assume around a couple hundred feet); an airplane approached head-on from the opposite runway then quickly veered off to the right (left of our course). After review of the time stamp (ADSB out); it is to my knowledge that both aircrafts had departed from opposite runways.
Flight Instructor reported at take off seeing opposite direction traffic resulted in evasive action.