In a medium bowl, whisk together the flour, baking powder and ½ teaspoon salt.
Add the yogurt and stir until a shaggy dough forms.
Turn the dough onto a lightly floured surface and knead until smooth and elastic, about 2 minutes.
Cover and let rest for 30 to 60 minutes.
Divide the dough into 8 equal pieces and roll each into a ball.
On a lightly floured surface, use a rolling pin to roll each ball into a 6-inch round flatbread.
In a large skillet over medium heat, cook the flatbreads in batches until lightly puffed and charred in spots, 2 to 3 minutes per side.
In a small bowl, stir together the olive oil and za'atar.
Brush the warm flatbreads with the flavored oil and serve.
