Preheat oven to 400 degrees F and arrange racks so that the pie can cook on the bottom rack. Line an 8-inch pie pan with crust. Fold over edges and pinch to flute. Set prepared dish on a large baking sheet that is lined with a silpat, parchment paper, or foil.
In a large bowl, combine apples, 1/2 cup sugar, 1/4 cup flour, 1 teaspoon cinnamon and lemon juice. Toss to coat.
To make the crumble topping, combine the brown sugar, 1 cup flour, the chilled butter pieces and the remaining cinnamon using a pastry blender in a large bowl. You want your butter to remain as small chunks about the size of a pea.
To assemble pie, mound apples on top of crust.
Then, carefully spoon on crumble topping, taking care not to spill too much over the edges and pressing down onto the apples as needed to make it stick.
Place prepared pie on baking sheet on bottom rack of oven. Cook for about 1 hour. If topping starts to brown, loosely tent with foil.
Allow pie to cool at least 30min to an hour, however it will slice best if you allow pie to fully cool.