Traditional physics labs at the high school level are often closed-ended. The outcomes are known in advance and students replicate procedures recommended by the teacher. Over the years, I have come to appreciate the great opportunities created by allowing students investigative freedom in physics laboratories. I have realized that a laboratory environment in which students are free to conduct investigations using procedures of their own design can provide them with varied and rich opportunities for discovery. This paper describes what open-ended laboratory investigations have added to my high school physics classes. I will provide several examples of open-ended laboratories and discuss the benefits they conferred on students and teacher alike.