Flight Crew Student
Flight Crew Last 90 Days 30; Flight Crew Total 50; Flight Crew Type 50
Confusion; Distraction
Conflict NMAC; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance
Flight Crew Became Reoriented; Flight Crew Took Evasive Action
Human Factors
On initial climb out 600 ft. AGL; [an] airplane climbing from [the] parallel runway turned left crosswind in front of me with no ATC clearance; causing me to level off for collision avoidance. ATC was supposed to call our turns but the other aircraft did not follow instructions.
I; [the] Flight Instructor; took a private pilot; whom I have never flown with before; up in the traffic pattern to 'kick off some rust' as he hadn't flown in the last 60 days. We had done 8 touch-and-go's prior and were completing one more to end the lesson. Upon takeoff; Tower called and stated; 'Aircraft Y continue upwind; I will call the crosswind.' We continued the upwind and I began talking with the private pilot to do the right traffic; etc. At this point; Tower called up to unknown aircraft and states; 'Turn left crosswind.' I did not hear the tail number clearly and could not confirm it was for our aircraft. [The] private pilot states the call was for us and was given to turn left crosswind. I stated I did not hear the call and cannot confirm. I began to second-guess him and asked 3 times; and each time the private pilot stated yes; we have the okay to turn left. [The] private pilot turns left and Tower called and stated; 'Aircraft Y; turn right crosswind.' [The] private pilot got on the mic and stated; 'We are in the wrong downwind and made the incorrect turn.' Other aircraft later transmits it was a 'close one' to Tower.To avoid this from happening in the future; I believe as Flight Instructor I should have called the Tower due to the miscommunication. At the end of the day; I have more experience and it is my duty to make sure the aircraft is operated correctly and safely. I also believe the private pilot should have recognized they were unsure of the radio call and [to] call to Tower as well. If the communication was better in the cockpit and we were more authoritative to speak with Tower; this situation could have been avoided.
Pilot Flying in light aircraft and Private Pilot and Flight Instructor in another light aircraft reported encountring an NMAC with each other in the pattern after the latter misunderstood a clearance.