Small Aircraft
Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Multiengine; Flight Crew Instrument
Flight Crew Last 90 Days 5; Flight Crew Total 240; Flight Crew Type 230
Communication Breakdown; Situational Awareness; Time Pressure
Conflict NMAC
Flight Crew Took Evasive Action
Human Factors
While training with a student in the traffic pattern; we found ourselves on base inside a Aircraft Y's final. Aircraft Y had made an 8 mile out call; and I was unable to spot them visually (or on ADS-B) until we were on base. My student made his position call on base; and at that point they made a two mile call as we were on final. We flew to the numbers for a touch and go to clear the way. As we were lifting off; they made a call that they were going around. At that point my student continued the take off. Upon reflection; I should have taken control; aborted our takeoff; and put us back on the ground but I was hesitant to at the time. I view this as a learning opportunity. This was one of my first experiences instructing and will be a valuable lesson in the future. After we were airborne again; they offset to the left and we offset to the right of runway center to avoid each other.Additionally I would like to note that these incidents are not uncommon at BDN. With the volume of traffic both training and GA that this un-towered airport sees it should really have a Tower.
Instructor pilot reported a NMAC while conducting touch and goes with a student at an uncontrolled airport.