DA40 Diamond Star
Flight Crew Commercial; Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Flight Instructor
Flight Crew Last 90 Days 150; Flight Crew Total 675; Flight Crew Type 300
Communication Breakdown
Conflict NMAC
Flight Crew Took Evasive Action
Human Factors
I was with a student [who] made the initial call of what we were; where we were; and altitude. Did not hear the other aircraft but saw him in the distance and on TCAS. He then popped off of our TCAS and about two minutes later they popped up directly in front of us with about 400 feet and closing in. I took controls from my student and veered the plane to the right. On TCAS he appeared to be climbing and I pulled back and got us up about 300-400 feet. I then made a call and said traffic at 6500 we were right above you. The pilot then stated we had a NMAC and then descended down. My student and I finished our lesson and went back to ZZZ.
GA flight instructor reported a NMAC while maneuvering near a practice area.