Cessna Single Piston Undifferentiated or Other Model
Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Instrument
Flight Crew Total 380; Flight Crew Type 300
Distraction; Situational Awareness; Training / Qualification
Conflict NMAC
Flight Crew Exited Penetrated Airspace
Environment - Non Weather Related; Human Factors; Airspace Structure
I took a student up for his/her first lesson in a Cessna 162. After departing HPN's airspace to the WNW; we turned north to follow the Hudson River. At this time I was told by the Tower that a frequency change had been approved; but I continued to monitor the Tower frequency. At this point I turned my attention to teaching the fundamentals of flight; and how to control the airplane. I had been looking outside for traffic; but I may have lost track of how far back east we had drifted after reaching the Hudson River. I didn't see any traffic off the nose of the aircraft; but I saw a jet behind and below me; which I assumed to be heading to HPN. Still monitoring Tower; I heard a jet call and report coming close to a training aircraft on the approach. I then flew the airplane to the other side of the Hudson River; well away from any airports; to continue the maneuvers. I was originally intending on departing NW of the airport; going over to the other side of the river to practice maneuvers; but momentarily forgot that HPN traffic was arriving on runway 16; and we drifted right of course. I always try to maintain the highest level of situational awareness; but I am; especially now; keeping in mind where approaching jet traffic to HPN is arriving from at all times.
An instructor pilot aboard a C-162 Skycatcher lost track of his position relative to HPN--their departure airport--while giving basic flight training to a Student Pilot. As a result a possible NMAC with an inbound jet arrival occurred.