Preheat oven to 400°. Line a baking sheet with parchment paper; set aside.
In a medium bowl, combine flour, sugar, baking powder, and salt. Using a pastry blender, cut butter into flour mixture until mixture is crumbly.
In a small bowl, combine cream and vanilla. Add cream mixture to flour mixture, stirring just until dry ingredients are moistened. On a lightly floured surface, pat dough into a ½-inch-thick circle, and place on prepared pan. Bake for 15 to 17 minutes or until lightly browned. Let cool completely on pan.