Step 1

For the Dough: Adjust oven rack to middle position and preheat to 375°F (190°C). Whisk flour, baking powder, sugar, and salt together in a medium bowl. Toss cheddar with dry ingredients until well combined. Stir in cream, mixing with a flexible spatula until dough comes together. Transfer to a lightly floured surface, knead until pliable and smooth, then divide in half. On a lightly floured surface, roll each portion into a roughly 15- by 11-inch rectangle, no more than 1/8-inch thick. Transfer each to a parchment-lined half sheet pan, then cut into 1-inch squares using a fluted pastry wheel.

Step 2

For the Egg Wash: Whisk egg, yolk, water, and salt together in a small bowl. Brush over prepared dough, then sprinkle with additional salt to taste. Using a bamboo skewer or chopstick, press a small indentation into the center of each dough square. (This is strictly for a Cheez-It look and is therefore optional.) Bake until golden brown, about 24 minutes. Cool to room temperature and enjoy immediately, or store up to 1 month in an airtight container at room temperature.