Insert knife into tip end of whole avocado until knife reaches pit. Rotate knife around pit until avocado is cut lengthwise in half. Gently pull avocado apart by twisting the 2 halves in opposite directions. Score avocado skin of each half into thirds, cutting just to, but not into, flesh of avocado. Using paring knife, pull back center strip of avocado peel. Then, pull back 2 side strips of peel.