Narrative:

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 northwest 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.

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Original NASA ASRS Text

Title: 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.

Narrative: 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.

Data retrieved from NASA's ASRS site as of July 2013 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.