I found this recipe on 30 Bucks a Week. Joel used pita for his lunches very often so we decided to see what it would be like to make it ourselves. He made this one day while I was at work. While it used ingredients we always have on hand, he was discouraged by how long it took to make these. Although it tasted ok, we decided that from now on, it might be worth spending the extra buck or so to buy pre-made pita.
3 cups Flour
3 tablespoons Extra Virgin Olive Oil
2 teaspoons Instant Yeast
2 teaspoons Salt
1/2 teaspoon Sugar
Combine flour, oil, yeast, salt, and sugar in a food processor. Turn it on and add 1 cup of warm water through the feeding tube. Process for about 30 seconds. The mixtrue should form a sticky ball. If you need more water for the dough to come together, add it gradually 1 tablespoon at a time. Form the dough into a smooth round ball. Transfer the dough to an oiled bowl and cover with plastic wrap and a towel. Place the bowl in a warm, draft free place for 1-2 hours, until the dough doubles in size. When it is ready, divide it into 6 pieces (it could be more, depends on how big you want your pita). Roll each piece into a a round ball and place it on a lightly floured surface. Sprinkle each with a little more flour and warp with plastic wrap and a towel again. Let them rest until they puff slightly, about 20 minutes or so. Roll our each ball into less than 1/4 inch thickness on a floured surface. Let the discs rest for another 20 minutes or so while the oven preheats to 350 degrees. Slide the discs onto a pizza stone or a cast iron skillet (or on a cookie sheet) and bake them until they are lightly browned on each side, about 2-3 minutes per side.