Date: 201412
Local time of day: 1201-1800
Location: 1D2.Airport, MI
Flight conditions: VMC
Weather elements / visibility: 10
Light: Daylight
Aircraft: Skyhawk 172/Cutlass 172
Operator: Other Flight School
Operating under: Part 91
Flight plan: IFR
Mission: Training
Flight phase: Final Approach
Airspace: Class E D21
ATC / advisory: TRACON D21
Reporter organization: FBO
Reporter function: Pilot Not Flying; Instructor
Reporter qualification: Flight Crew Multiengine; Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Instrument
Human factors: Communication Breakdown; Confusion
Second reporter function: Trainee
Anomaly: ATC Issue All Types; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Detector: Person Air Traffic Control
When detected: In-flight
Result: Air Traffic Control Issued New Clearance
Contributing factors: Human Factors; Chart Or Publication
Primary problem: Human Factors

Narrative: During an instrument training flight with a student; upon contact with Detroit Departure shortly after takeoff from YIP; I requested to fly a VOR-A approach at Plymouth-Canton Mettetal airport (1D2). We were then told to proceed direct to Salem Vortac (SVM); the initial approach fix. Shortly thereafter we were cleared for a VOR-A approach; which my student and I believed to be the approach into Mettetal. Upon crossing the Vortac after the procedure turn; ATC asked us if we were established on the approach course and told us that we appeared to be passing through the approach course. I answered 'affirmative' and told him that we were inbound on the VOR-A to Mettetal; at which point he told us we had instead been cleared for the VOR-A approach into YIP; for which SVM is also the initial approach fix. It is unclear to us whether the controller had specified at which airport we were cleared for the approach and we failed to acknowledge; or if the controller did not specify which airport we were cleared for the approach at. Being that I am not sure if the controller had specified the airport for which we were cleared for the approach; I cannot say definitively that I would have liked to see anything done differently to prevent this situation from having happened. It does not seem that on every circling approach that I fly; I am told specifically what airport that I am cleared for the approach at. I would like to hear that at the end of every approach clearance in the future to avoid confusion. Also; from now on I will always read back the airport I am cleared for an approach at; and I will teach my students to do the same.


Second narrative: There was no traffic in the vicinity that needed a traffic resolution; so we were cleared for the VOR A at 1D2.


Synopsis: After departing YIP a flight instructor and his instrument student were cleared direct to SVM; 'cleared for the VOR A approach;' as requested. After departing SVM; the IAF/FAF; on course for the VOR A approach to 1D2; Canton-Plymouth-Mettetal airport ATC advised of a track deviation. Further inquiry determined the clearance had been for the VOR-A approach at YIP; not the VOR-A to 1D2. SVM is the IAF for both procedures. The reporter did not recall if the airport name had been appended to either the clearance or his readback.