Mix the water and yeast together in the bowl of a stand mixer (a large bowl will also work if you do not have a mixer), and let sit for about five minutes until the yeast is dissolved. Add 2 1/2 cups of the flour (saving the last half cup for kneading), salt, and olive oil. If using a stand mixer attach the dough and knead the dough on medium speed for 8 minutes, adding more flour until you have a smooth dough. If using your hands sprinkle a little of the extra flour onto your clean work surface and turn out the dough. Knead the dough for about 5-7 minutes, until the dough is smooth and elastic.

Clean the bowl you used to mix the dough and wipe iit with a little olive oil. Set the dough in the bowl and turn it until it's coated with oil. Cover with a clean dishcloth or plastic wrap and let the dough rise until it's doubled in size, about 1 hour.

At this point, you can refrigerate the pita dough until it is needed. You can also bake one or two pitas at a time, saving the rest of the dough in the fridge. The dough will keep refrigerated for about a week.

Gently deflate the dough and turn it out onto a lightly floured work surface. Divide the dough into 8 equal pieces and gently flatten each piece into a thick disk. Using a floured rolling pin, roll one of the pieces into a circle 6-7 inches wide and about a quarter inch thick. Lift and turn the dough frequently as you roll to make sure the dough isn't sticking to your counter. Sprinkle with a little extra flour if it starting to stick. If the dough starts to spring back, set it aside to rest for a few minutes, then continue rolling. Repeat with the other pieces of dough.

Warm a cast iron skillet over medium-high heat (you want a hot pan). Drizzle a little oil in the pan and wipe off the excess.Lay a rolled-out pita on the skillet and bake for 30 seconds, until you see bubbles starting to form. Flip and cook for 1-2 minutes on the other side, until large toasted spots appear on the underside. Flip again and cook another 1-2 minutes to toast the other side. The pita should start to puff up during this time; if it doesn't don't worry about it, it will be delicious anyway. Keep cooked pitas covered with a clean dishtowel while cooking any remaining pitas.

Serve warm.