Combine the water, yeast, oil, sugar, salt and 1 ½ cups (7 ½ oz, 212g) of the bread flour in the bowl of a stand mixer. Mix until it forms a thick batter. Switch to the dough hook. If mixing by hand add flour until you can no longer stir, then turn the dough out onto a floured surface to finish by hand.
With the mixer running on low, add the remaining flour until the dough begins to clean the bottom of the bowl and form a ball around the hook.The dough will be a little sticky. You can sprinkle in a little extra flour if the dough is extremely sticky. Knead for 5 minutes.
Place the dough in a lightly oiled bowl, turn once to coat the dough and cover the bowl. Rise for 1 - 1 ½ hours or until doubled in size. (The dough can also rise in the refrigerator overnight). Turn the dough out onto a lightly floured surface. Divide the dough into 8 equal pieces. Roll each piece of dough under your cupped hand to form a tight ball. Cover the dough balls and let them rest for 10 minutes.
Preheat the oven to 450°F450 °F. If you have a baking stone or steel place it in the oven. If you don’t have a baking stone, place a baking sheet in the middle rack of the oven to preheat. If you have a dark colored baking sheet use that. A dark pan will absorb heat better than a light-colored pan, so the bread will puff better.
Roll each piece of dough to 6-7” around. Roll two pitas and immediately place them on the preheated baking stone or baking sheet in the oven. Bake until they are puffed and the bottom is lightly browned, about 3-5 minutes. You don’t need to flip the bread. Remove the baked breads and wrap them in a clean kitchen towel while you continue rolling and baking the pitas.
The pitas are best the day they are made, but they also freeze very well.