1/2 tablespoon sugar
1/2 tablespoon baking powder
3/4 teaspoons kosher salt
1/2 stick salted butter, chilled and cut into a 1/4-inch dice
1/3 cup half and half
1/2 cup (about 4 ounces) grated Cheddar
1 tablespoon finely chopped fresh chives
Heat oven to 425° F.
In a large bowl, combine the flour, sugar, baking powder, and salt. Using a pastry blender or 2 knives held crisscross fashion, cut in the butter until the mixture resembles coarse crumbs. Stir in 2/3 cup of the cream. Add the Cheddar and chives and use your hands to combine; the dough should be crumbly. Knead the dough a couple of times until it comes together.
Gently pat it into a ball, then flatten slightly into a 1-inch-thick disk. Transfer to a baking sheet. Slice into quarters. Brush the top with the remaining cream. Bake for about 30 minutes or until golden.