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To make the dough: Weigh your flour, or measure it by gently spooning it into a cup, then sweeping off any excess. In a large bowl, whisk together the flour, sugar, salt, baking powder, curry powder, and spices. Add the butter and shortening and work them in with your hands, a pastry blender, or a hand mixer until the mixture looks mostly dry and crumbly with a few pea-size pieces of butter, about 2 minutes.
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Drizzle 1/2 cup plus 1 tablespoon (128g) of the ice water over the flour mixture, tossing gently to combine. Mix in enough additional water in 1-tablespoon increments until a chunky, shaggy dough comes together; the dough should hold together without crumbling when you squeeze it in your hands. Beware of kneading the pastry too much and/or adding too much water, as both will toughen the crust.
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Transfer the dough to a piece of parchment. Press it into a rough rectangle and fold the dough into thirds, like a business letter. If any areas look dry or crumbly, spritz them with cold water, then flatten and fold the dough again to incorporate any errant bits.
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Wrap the dough in plastic or your favorite reusable storage wrap and chill for at least 1 hour and up to 3 days.
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To make the filling: Heat the oil in a large skillet over medium heat. Add the onion, fresh ginger, and garlic and cook, stirring occasionally, until the onion is soft and translucent, 3 to 5 minutes.
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Add the ground beef and cook, breaking it up and stirring occasionally, until evenly browned, 5 to 7 minutes. Stir in the salt and pepper.
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In a small bowl, whisk together the water and flour to form a slurry. Stir the slurry into the meat mixture. Add the scallions, ketchup, thyme, and chile and stir to combine. Cook over low heat, stirring occasionally, until the filling is slightly thickened, 6 to 8 minutes. Taste and adjust the seasoning as needed. Remove from the heat and set aside to cool completely. The filling can be made up to 1 day in advance.
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To assemble and bake: Preheat the oven to 375°F with a rack in the center. Line two baking sheets with parchment, or lightly grease them.
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Remove the dough from the refrigerator and unwrap it on a floured worked surface. (To avoid turmeric stains, work on a piece of floured parchment.) Divide the dough into 12 pieces (about 90g each). Working with one piece at a time, shape the dough into a ball, then use a floured rolling pin to roll it into a 6" round, about 1/8" thick. Divide the rounds between the prepared baking sheets. Refrigerate one of the baking sheets, uncovered, while you work on the first baking sheet.
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Heap a scant 1/3 cup (about 50g) of filling on one side of each dough round. Using a pastry brush or your fingertips, brush the perimeter of the dough with ice water. Fold the dough up and over the filling, lining up the edges to create a half-moon shape. Gently press out any air pockets, then seal the edges with the tines of a fork. Brush the top of each patty with egg wash.
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Bake the patties for 24 to 26 minutes, or until light golden brown in places.
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While the first tray of patties is baking, remove the second from the refrigerator and repeat the process to form patties. Bake as directed.
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Serve the patties warm or at room temperature.
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Storage information: Store leftover Jamaican beef patties in the refrigerator for up to 3 days. To reheat, place patties on a wire rack set over a baking sheet and bake at 350°F for 20 minutes, or until warmed through.