Preheat oven to 400°F. Trim only the very bottom, woody part of broccoli1 stem. Peel tough outer layer from stem, from the florets down to the end of the stalk. Starting from stem end, cut broccoli at a 45° angle into ¾"-thick slices until you reach the florets. Break florets apart with your hands into bite-size pieces (this avoids getting bitsy trimmings all over the place).