Pour yeast into 1/4 cup of the warm water; add the sugar and let stand for 10 minutes.
Mix 2-1/2 cups of the flour with the salt into a bowl. Form a well in the center; pour in yeast mixture and remaining 1 cup warm water and 1 tablespoon of olive oil.
Begin to mix with your hand, adding remaining flour as needed. Turn out onto a floured surface and knead for about 10 to 15 minutes,, until the dough is smooth and soft but not sticky.
Oil a large bowl; place dough in the bowl and turn to coat the entire surface with oil. Cover with a damp cloth and put the dough in a warm, draft-free place for 1 to 1 1/2 hours or until doubled in size.
Place a heavy baking sheet or baking stone on the lowest rack of the oven.
Preheat oven to 475° F.
Roll out the dough, then fold and roll again. Do this a few times to get the air bubbles out of the dough. Divide into balls about 2 1/2 ounces each and cover with a dampened towel.
Flour 2 cloths and put one on top of the other, floured sides together.
Roll each ball into a circle on a lightly floured surface with a floured rolling pin, rolling and turning the dough as you would a pie crust. The circles should be about 7 inches in diameter. Place rolled dough circle between floured cloths as you complete each one.
Lightly sprinkle the hot baking sheet or baking stone with flour. (A well-seasoned baking stone will not need to be sprinkled with flour.) Place a few of the circles on the stone or baking sheet (or as many as will comfortably fit in the pan). Bake for about 2-1/2 minutes on each side, or until they just begin to show some color. Total cooking time is about 5 minutes.
Remove from the oven and cool on cooling rack. Cover pitas with towel during cooling process.
Repeat baking process until all pitas have been cooked.
Once cooled, place in food storage bags until ready to eat.