Date: 201907
Local time of day: 1201-1800
Location: ZZZ.Airport, US
Flight conditions: VMC
Weather elements / visibility: 40
Light: Daylight
Aircraft: PA-44 Seminole/Turbo Seminole
Operator: FBO
Operating under: Part 91
Flight plan: None
Mission: Training
Flight phase: Landing
Airspace: Class D ZZZ
ATC / advisory: Tower ZZZ
Aircraft component: Landing Gear
Component problem: Improperly Operated
Reporter organization: FBO
Reporter function: Pilot Not Flying; Instructor
Reporter qualification: Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Instrument; Flight Crew Multiengine
Human factors: Distraction; Confusion
Second reporter function: Pilot Flying
Anomaly: Ground Event / Encounter Gear Up Landing
Detector: Person Flight Crew
When detected: In-flight
Result: Flight Crew Executed Go Around / Missed Approach
Contributing factors: Human Factors
Primary problem: Human Factors

Narrative: The student performed a single engine touch and go from the ILS approach to which we put in an engine failure after liftoff. Performance was negligible (single-engine absolute ceiling equaled the field elevation that day) so I added extra power after the student simulated feather the simulated dead engine. In the downwind the student said that he would wait to put the gear down because of the negative performance. At this point I believe both of our minds put aside the idea of putting the gear down. From there the student made a normal single-engine visual approach. Once over the runway the student put the simulated operative engine throttle to idle. The gear warning horn did not sound and the gear unsafe light did not activate. The student touched down on the runway and we then heard a noise. I immediately shoved both throttles forward and the student executed the go around (I may have also pulled back on the yoke but cannot remember). I then put the flaps down one at a time (full flaps; three notches; was used during this landing) and the student gave me flight controls to do a normal landing. The landing gear came down fine and minimal damage was sustained to the aircraft.


Second narrative: Training for multi-engine commercial add-on.  On the upwind; instructor cut engine (simulated).  In the downwind I did my usual GUMPS check; but decided to wait on the gear; given the high density altitude and thus lack of performance.  On final I almost always do a last prop forward/3 green verbal check; and still have no idea why I failed to do so on this approach.  On flare; felt a prop lightly contact and initiated go around procedures.  Had very sufficient performance to continue the climb out; got to TPA.  On the downwind we put the gear down; came down no issues.  Landed and taxied back to the runway.  Called the tower once we got back in the flight school.  I believe what caused the issue is doing my GUMPS check; minus the gear and waiting until final. Waiting on it was not a bad decision; I believe; but I should have done my whole GUMPS check at the same time; not in two separate parts. I also should have done a last prop forward/3 green check/call out on final.


Synopsis: Flight instructor; student pilot and Ground Controller reported a wheels up approach resulting in prop strike; go-around and subsequent landing.