Place a heavy baking sheet on the middle rack of your oven and preheat to 450℉. Lightly flour your work surface with the extra flour.
In a medium bowl, whisk together the flour, baking powder, kosher salt and crushed red pepper flakes. Make a well in the center and add the water and oil. Gradually stir until the mixture is combined and a dough forms. Turn the dough out onto the floured work surface and knead gently until the dough comes together into a smooth ball.
Divide the dough into 6 equal parts. Cover the dough you aren't working on with a piece of plastic wrap. Divide one piece into 4 equal pieces. Roll the pieces into long oval shapes, then use a rolling pin to flatten the dough. Dough should be very thin. Prick the dough several times with a fork and place on a piece of parchment paper. Repeat until you have 8 pieces of dough on the parchment paper. Lightly brush the extra olive oil on the top of each cracker and sprinkle salt and red pepper flakes on top of the crackers.
Slide the parchment paper on top of the preheated baking sheet and bake for 5-6 minutes, until the crackers brown in spots. Remove from oven. Allow to cool completely on a wire rack.