Flight Crew Flight Instructor; Flight Crew Commercial
Communication Breakdown; Situational Awareness
Conflict NMAC; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Took Evasive Action
Procedure; Human Factors
While on midfield downwind on left traffic for Runway XX with the Student Pilot at the controls; I; the Instructor; realize of a traffic coming from the west slightly higher than traffic pattern altitude descending and heading towards our airplane. I announce 'I have control' and I commence a pitch down to avoid otherwise an impact from the other airplane. The traffic never appeared on TCAD [Traffic Collision Avoidance Device] and I presumably did not have an operational transponder since the flight was not tracked by any software. After evasive action; the traffic joins the downwind very close to us while I am inquiring in frequency to attempt to communicate with that traffic. I established communication with the traffic and I arrange the sequence for the arrival to the runway ahead of that traffic.
SR20 flight instructor reported an NMAC while operating in the pattern at a non-towered airport.