01 - Preheat the oven to 375°F. Line a baking sheet with parchment paper.
02 - In a large bowl, whisk together flour, cornmeal, baking powder, chili powder, cumin, smoked paprika, garlic powder, onion powder, and salt until thoroughly combined.
03 - Add olive oil and water to the dry mixture. Mix until a dough forms. Add additional water 1 teaspoon at a time if dough is too dry to hold together.
04 - On a lightly floured surface, roll out the dough to 1/8-inch thickness using a rolling pin.
05 - Using a knife or pizza cutter, cut the dough into 1-inch squares or use small cookie cutters for desired shapes.
06 - Transfer crackers to the prepared baking sheet. Sprinkle evenly with shredded cheddar cheese and dried oregano if using.
07 - Bake for 12 to 15 minutes until golden brown and crisp. Let cool on the baking sheet for 5 minutes before transferring to a wire rack to cool completely.
08 - Store in an airtight container for up to one week.