Click to go to the next page. The notations for the moves are U for top face, R for right, L for left, D for bottom, F for front, and B for back. There is also M for the middle. If it has a ' in front of the letter, turn it 90 degrees counter-clockwise. If it is just a plain letter, turn 90 degrees counter-clockwise. If it has a 2, turn it 180 degrees. If it has a w, turn 2 layers at once.
With practice, this method can get you solving this cube in less than 40 seconds! (My record is 21 seconds) 2x2 Tutorial: Work in Progress