Dissolve yeast in 1 cup warm water in a medium bowl.
Add both flours to the bowl and mix with your fingers until a dough starts to form. You can also make this recipe using only all-purpose flour. It will be a loose dough in pieces at this point. Cover bowl with a clean kitchen towel and let rest for 30 minutes.
Add salt and yogurt to dough. Knead dough until all ingredients are incorporated. Cover bowl with towel and let rise at room temperature for 4 hours. Dough will rise faster if placed in a warmer spot. Refrigerate for 30 minutes before cooking.
Divide dough into 8 equal balls and roll into ¼" thick ovals or other shape on a floured surface. You can roll it thinner if you like a thinner flatbread as well.
Cooking Method: Pizza Stone in Oven
Put pizza stone in oven and preheat to 500°F. Let stone stand in oven for an additional 10 minutes after preheating.
Place 3 flatbreads (or whatever fits) on hot pizza stone and bake for 1-2 minutes. Flip with tongs and bake an additional 1-2 minutes. Brush olive oil on the side that bubbled up first and then flip again so the oil side is on the pizza stone. Bake for an additional 1-2 minutes. Remove from oven before oil smokes. Carefully wipe excess oil off pizza stone before working on next batch. Serve warm.
Cooking Method: Cast Iron Pan
Heat cast iron pan over high heat. Brush each flatbread with olive oil on both sides. Once pan is hot, add one flatbread to cast iron pan and cover with a lid. Bubbles will form and it will be ready to flip in about a minute. Flip, cover the pan again, and cook 1 more minute. Remove from pan. Serve warm.
Cooking Method: Grill
Heat grill on high heat. Brush each flatbread with olive oil on both sides. Once grill is hot, place flatbreads on grill. Cook 1-2 minutes. Flip flatbreads with tongs and cook an additional 1-2 minutes. Serve warm.
For Freezing
Freeze on sheet pan so flatbreads stay flat. Once frozen, store in a gallon zippered bag for up to 2 months.
You can make a double batch and freeze half to make flatbread pizzas or serve them with another meal later.