Place your water, yeast and sugar into a mixing bowl and stir to dissolve.
Add your whole wheat flour and ¼ cup of all purpose flour. Place in a warm place to rest for 10-15 minutes.
After resting add more all purpose flour 1 ¾ (reserved ½ cup), your olive oil and salt and mix well with a wooden spoon until all the flour is moistened.
Pour dough out onto a work surface and knead with lightly floured hands for 2 minutes. The dough should be soft and moist.
After you knead your dough, cover it with a kitchen towel and let it rest for 10 minutes.
Turn dough onto your work surface. Knead lightly for 2 minutes, until smooth. Cover and let rest for 10 minutes, then knead again for 2 minutes. You will have ½ cup of reserved all purpose flour but try not to add it all back in, if any.
Place in a bowl, cover with plastic wrap and a kitchen towel and let rise in a warm place for 1 hour or until doubled in size.
After an hour, take your dough out of the bowl and divide into 8 pieces. Roll each piece into a ball, leave on your work surface but cover with a damp kitchen towel and let sit for 10 minutes.
Preheat a cast iron skillet on medium high.
Roll out each piece of dough using a floured rolling pin. Roll each ball out to about a 6 to 8 inch circle and about ⅛ of an inch thick.
The dough will shrink a bit but that is okay.
Place your dough into your hot skillet and bubbles should start forming, turn your dough over and after about 2 minutes, it will puff up. Watch the heat of your skillet because the dough may burn too quickly. You may have to turn the heat higher and lower depending on how your pitas are cooking.
Transfer cooked pitas into a kitchen towel lined dish and wrap to keep warm.
Repeat with all the pitas and serve with your ful medames.