Skyhawk 172/Cutlass 172
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Commercial; Flight Crew Flight Instructor
Flight Crew Last 90 Days 80; Flight Crew Total 975; Flight Crew Type 900
Situational Awareness; Communication Breakdown; Confusion
Conflict NMAC; Deviation - Altitude Excursion From Assigned Altitude; Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance
Flight Crew Took Evasive Action
Human Factors
We were at TPA (Traffic Pattern Altitude) (1000 ft.) and had entered a direct downwind Runway XXL as instructed by ZZZ Tower. Aircraft departing XXL; Aircraft X; did not comply with their departure instructions and began a crosswind departure in our direction. Tower called 'Aircraft X; fly runway heading; you were instructed to turn left at the river. Traffic 12 o clock; one thousand.' The aircraft responded 'We were cleared for a left standard departure' and Aircraft Y continued their climbing turn straight at us approaching our same altitude. TCAS alerted traffic. I had to take controls and immediately descended to the right away from the aircraft down to 700 ft. as they climbed above us. As Aircraft Y passed over they called Tower 'Below traffic in sight'.
Cessna 172 Pilot reported taking evasive action to avoid an aircraft that disregarded the Tower's instructions.