The pilot had just taken off from Runway 25L when the plane went down nearby around 11:50 a.m., FAA spokesman Ian Gregor said.
The pilot was reportedly transported to the hospital with moderate injuries. She was alert and talking. No one else was on board.
The crash will be investigated by the FAA as well as the National Transportation Safety Board, the lead agency in the investigation, and that process typically takes about a year to determine the cause of a crash.
ABC7 News contributed to this report.