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Stir the flour, sugar, baking powder, cinnamon, and salt together in a medium bowl. Use your fingers to break up any clumps of brown sugar.
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Add the butter and use your fingers to cut it into the flour mixture until it comes together and forms large crumbles. (If you want some bigger crumbles, just squeeze the topping in your hands to form larger ones.)
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Sprinkle the topping evenly over the blackberries.
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Set the baking dish on a large rimmed baking sheet to catch any juices that might spill over. Bake 25 to 35 minutes (possibly a little longer for frozen berries), until the berry juices are bubbling around the edges and the topping is turning light golden brown.
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Cool for 20 to 30 minutes to let the juices set up a little bit, then serve.