Luscombe Model 8/Luscombe 50
Flight Crew Sea; Flight Crew Glider; Flight Crew Flight Instructor; Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine
Flight Crew Last 90 Days 75; Flight Crew Total 7600; Flight Crew Type 500
Communication Breakdown; Situational Awareness
Conflict Airborne Conflict
Flight Crew Took Evasive Action
Procedure; Airspace Structure; Human Factors
I was flying with student advising of route I wanted him to fly during his supervised solos. Since wind was calm I had him depart; circle to West about three miles; re-enter pattern on 45 to downwind; execute an approach and land. He would then taxi to the end of runway XX and repeat the above per my clearance.We enter the downwind and he clearly announces doing so. I then noticed a Piper Cadet about 3 miles to SE in a descent toward our airport. By the time we reach midfield the Cadet was at our altitude and cut across around midfield heading right to us. I deviated right out of pattern and circled back onto downwind and which time the Cadet was about 2 miles to the SW and then headed directly to ZZZ1.After contacting the ZZZ1 tower the chief noted the aircraft came from a local flight school. The manner in which the flight was flown looked as if an instructor was practicing simulated engine failure with a student but no talking on ZZZ CTAF.
GA Flight Instructor reported an airborne conflict while on downwind.