Narrative:

While climbing on departure leg; my student noted traffic on the ads-B screen; so he was already looking when I lifted the wing preceding a turn to left cross wind for runway xx at ZZZ. We saw the 182 at our 10 o'clock position; with nearly no lateral movement against the horizon; about 800 feet away. The student saw it first at about 800 feet distance; and yelled. I saw the aircraft at about 600 feet away; and pushed the yoke hard. I estimate the other aircraft passed nearly overhead and about 200 feet above us; slightly behind us; owing to the hard push we made on the yoke. The other aircraft (whose number we got from ads-b) was not talking on frequency. Nobody else in the pattern heard him either. The other aircraft cruised through our pattern south bound; two to three hundred feet below pattern altitude. He was about 200 or so yards inside -- that is; closer to the ZZZ runway -- than ZZZ traffic usually turns crosswind. Had we not seen him; I believe he would have hit us.

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Original NASA ASRS Text

Title: C172 instructor reported NMAC with transitioning aircraft while in the pattern at a non-towered field.

Narrative: While climbing on departure leg; my student noted traffic on the ADS-B screen; so he was already looking when I lifted the wing preceding a turn to left cross wind for runway XX at ZZZ. We saw the 182 at our 10 o'clock position; with nearly no lateral movement against the horizon; about 800 feet away. The student saw it first at about 800 feet distance; and yelled. I saw the aircraft at about 600 feet away; and pushed the yoke hard. I estimate the other aircraft passed nearly overhead and about 200 feet above us; slightly behind us; owing to the hard push we made on the yoke. The other aircraft (whose number we got from ads-b) was not talking on frequency. Nobody else in the pattern heard him either. The other aircraft cruised through our pattern south bound; two to three hundred feet below pattern altitude. He was about 200 or so yards inside -- that is; closer to the ZZZ runway -- than ZZZ traffic usually turns crosswind. Had we not seen him; I believe he would have hit us.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.