This page explains the Ortega Method of solving a 2x2. This method is for intermediate level solving. There are twelve algorithms for this method, but you may already know the majority of them, because they are also used in solving the last layer of the 3x3 Rubik’s Cube.
Step 1: Orientate first layer.
Solve the white face. You don't need to have the pieces in the correct position. They should only be orientated correctly.
Step 2: OLL - Orientate Last Layer
You will now have one of eight cases to orientate the Last layer. Many of the algorithms are the same as 3x3 OLL Algorithms, but there are shorter algorithms to use as there are no centers or edges.
Hold your cube with the solved face (white) on the bottom and check your top face for the patching pattern.
Step 3: PBL - Permutate Both Layers
You will now have one of five cases to permutate both layers together. Hold your cube with yellow on top and white at the bottom. Choose from the options below that matched your situation and follow the algorithm to solve the 2x2.
2x2 Algorithm Sets