The flight instructor reported that, during an instructional flight with the student pilot at the flight controls, the airplane encountered a microburst during the takeoff climb. The airplane started to descend, he assumed control of the airplane, checked the engine RPM's and throttle. Despite his actions the airplane continued to descend. Unable to maintain altitude, he elected to land on a soccer field. During the landing roll, the right wing impacted a tree that resulted in substantial damage. Witnesses located near the accident location reported that, the accident airplane encountered a “microburst” and “big gust of wind,” and it then began/started to descend toward the ground. One witness stated that it appeared as if the airplane was “…fighting to gain altitude.” A Federal Aviation Administration inspector reported that, the accident flight was captured on airport surveillance camera, and showed the accident airplane take off in a normal climb profile. About 50-100 ft above ground level (agl), the airplane was seen making small abrupt changes in altitude, that the FAA inspector indicated was consistent with a turbulence encounter. As the airplane continued the climb, about 200-300 ft agl, it flew into a wall of vertical dust and appeared to be in a descent. The video showed the airplane as it continued forward in the dust while still in a descent until it was no longer visible in the video frame. Prior to the accident, the airport’s automated weather observation station reported that, at 14:55 local time, the wind was from 160° at 4 knots. Shortly thereafter, the same automated station reported that, at 15:15 local time, the wind was from 110° at 5 knots, gusting to 21 knots. The airplane was taking off from runway 16.