Dissolve sugar in about 1/4 cup of the lukewarm water and then add the yeast and put it aside until it becomes bubbly about 5 minutes.
In a deep bowl, or your mixer bowl, add flour, salt and mix well. Add the yeast mixture start mixing and add the warm water gradually until your dough comes together.
Knead until it forms a smooth, elastic dough. Dough should be a bit moist.
Add the oil to a bowl, transfer dough to the oiled bowl and turn it around to cover lightly with oil. Cover and let it rest for 30 minutes.
Meanwhile, heat oven to 500F degrees and put your baking sheet in there to heat up.
Turn the dough onto a clean, lightly flour dusted working surface.
Divide dough into 4 equal parts and form each part into a ball. This of course depends on how big you would like your pita bread to be. Return balls to bowl and cover. We will work on them one at a time.
Take one ball and place on the work area, flatten lightly with hands then roll using your rolling pin to flatten to desired size. (We like our bread ultra thick and chewy so I roll mine to almost 6 inch circle).
Lift the dough circles carefully, making sure not to poke it with your fingers and place on your baking sheet. If your baking surface is large enough put two or more together.