Piper Single Undifferentiated or Other Model
Flight Crew Commercial; Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Flight Instructor
Flight Crew Last 90 Days 110; Flight Crew Total 1200; Flight Crew Type 300
Communication Breakdown; Confusion; Situational Awareness
ATC Issue All Types; Conflict NMAC; Deviation / Discrepancy - Procedural Clearance
Flight Crew Executed Go Around / Missed Approach; Flight Crew Took Evasive Action
Procedure; Human Factors
While doing pattern work on Runway 30L; we requested a full-stop on Runway 3. Tower instructed us to 'make left downwind.' My student and I turned left to enter the left downwind Runway 3; at this time; Aircraft Y traffic was mid-field downwind Runway 30L. Traffic was cleared touch-and-go Runway 30L. Without further instruction; my student and I proceeded with a standard left pattern Runway 3. On 0.25 nm final; I see the traffic landing the parallel is still rolling on the runway; and I did not anticipate them being clear of my runway by the time my student and I crossed the threshold Runway 3; so I instructed my student to execute a go-around. This resulted in our Aircraft X directly overflying the Aircraft Y right as they rolled across Runway 3 on Runway 30L. They were not yet airborne.In hindsight; I believe Tower's instruction to make left downwind may have been intended as extend downwind; or they would call my base. Since this instruction was not given; we made a normal pattern and did not anticipate a conflict until short final.Earlier on the same flight; we had been doing full-stop-taxi-backs; and we landed Runway 30L; and exited left onto Taxiway B. The same controller gave us taxi instructions 'Runway 30L taxi via Delta' and I asked if I needed 'cross Runway 3.' During this same flight; I had prompted the previous controller a couple of times; and gotten the instruction to cross each time; but only after prompting for it. The next controller volunteered; 'we don't normally do that.' She did give me the crossing; but I am wondering why we do not volunteer that crossing since it is necessary to cross the full-hold bar for Runway 3 in order to turn left onto Taxiway D from Taxiway B; or the other way to turn right onto Taxiway B from Taxiway D.
Flight Instructor reported a NMAC during go-around on a training flight.