Four ingredients, an electric mixer, lots of kneading, some resting and a brief period to let the dough rise and you will have homemade pita bread. The time and effort making these pitas from scratch will be better than store bought pitas, even if they don't puff up enough for you.
Turn dough onto lightly floured counter top and divide into 6 equal pieces. Roll the dough pieces into a ball shape. Lightly cover the balls of dough and let them rest for 10 – 15 minutes.
Roll each dough ball into a thin disc, about ¼ inch thick. Do your best to keep an even thickness. Let the pita rounds rest on the counter top, lightly covered for 30 – 40 minutes until they are slightly puffed.
Mine did not puff enough to cut open to use the pockets, so I used them as flatbread. Make sure to really flour the counter top before putting the dough balls down and re-flour the counter top before rolling the dough balls into discs. I had difficulty removing some of the pitas because they stuck to the counter top; I had to use a frosting spreader to scrape off the undersides without tearing the dough discs.