Solving the 2x2x2 using the Ortega Method
The Ortega Method is an intermediate 2x2 method. It is more efficient than using a 3x3 method but not as advanced as methods like CLL or EG that require a large number of algorithms. Learning to solve the 2x2 using the Ortega method requires very few algorithms and you probably already know most of them. It is a great method if you're looking to improve your 2x2 times. The method is broken into three steps.

Face 1The first step is to just solve any face. You do not need to solve a layerjust the face. This step is very easy and only requires a few moves. If you are not color neutral for solving the 2x2, you should make it a priority. It is pretty easy to do and makes this step even more efficient. This step should only take about 4 moves on average, so it's easy to start planning the OLL during inspection. 

OLLIn the second step, you'll orient the last layer. This is the same step as on the 3x3 except there are only 8 cases. If you can already orient corners in one step on the 3x3, you will already have an alg for this step, but since you can ignore edges and centers (there are none), we can use some shorter algs than usual. 

PBLIn the third and final step, you'll permute both layers. There are only five distinct cases. For two of them, you can use PLLs that work on the 3x3. A third case is only three moves long. This leaves only two cases to learn. 