Skyhawk 172/Cutlass 172
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Flight Instructor; Flight Crew Commercial
Flight Crew Last 90 Days 7; Flight Crew Total 520; Flight Crew Type 200
Situational Awareness
Deviation / Discrepancy - Procedural FAR; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter Other / Unknown
Flight Crew Took Evasive Action
Human Factors
Was flying with student to perform pre-checkride tasks. Checked weather and had flight following to ZZZ. We did 3 touch and goes on Runway XX with winds calm. In the right downwind; I visually cleared the XX final and traffic pattern and simulated an engine failure to see if the student would elect to and successfully land on the crossing runway. We began a slip towards the runway and did a go around at midfield at 10 ft AGL. At that point while scanning for traffic on the go around leg; I saw a skydiver at 11 o clock on a converging course. I immediately made a low altitude maneuver with 20 flaps to avoid and to overfly Runway XX putting the skydiver at 6 o'clock to create separation. I attempted to radio the drop zone and UNICOM to no avail. We checked back on with ATC and they had not spoken to any jump planes; nor did we hear any announcements on CTAF as we would have expected. The jumper had no radio despite radios being required via the chart supplement. Luckily I saw him or this would have been bad.
C172 instructor pilot reported flying with 800 feet of a skydiver who was apparently operating without announcing intentions on CTAF.