Flight Instructor reported a NMAC while conducting maneuvers with a student. Flight Instructor took evasive action to avoid a collision.

Narrative

Flight Conditions: Clear Skies; Wind calm; Visibility +10sm. Aircraft involved: Aircraft X (PA28-161) and Aircraft Y (SR22)On Day 0; I was conducting a training flight under Company with a new private pilot student in a PA28-161; Aircraft X. It is Company's SOP to conduct all flights with Flight Following when available. We were conducting our training flight in our West Practice Area approximately 25nm West of ZZZ. We were heading south performing Slow Flight Maneuver when ATC alerted us of a traffic advisory at the same altitude; close proximity; behind us; and heading towards us. I reached for my Ipad to pull up ADSB traffic information as our aircraft did not have any internal ADSB-IN functionality aside from an installed stratus device. ATC also advised to look at ADSB information. I immediately recognized the threat of Aircraft Y as it was heading directly towards us with no indication of avoided us. I took controls; recovered from slow flight; and initiated a descending left turn in order to spot the hazardous aircraft. ATC; at this time; also suggested changing heading to avoid collision. I was able to spot hazardous aircraft. It appeared that Aircraft Y was not making any maneuvers to avoid collision. After the threat was safely avoided; I inquired about whether Aircraft Y was communicating with ATC and what the tail number was. ATC responded that the other aircraft was not communicating with them and that the tail number was Aircraft Y from ADSB information. I believe that failure to look at ADSB traffic lead to this incident and in the future I will incorporate scanning for ADSB traffic prior; during; and after all maneuvers.