Cube notations are an essential thing to know when cubing. It is how all algorithms are represented. If there is an apostrophe behind one of the letters that is called prime. (example: B' is pronounced B prime) In the pictures below, you move the shaded areas in the direction of the arrow. If these don't make sense to you, you can use this website: HERE The cube on the right is what it will show you with. (shown)
When a letter has a 2 after it, it means do the move twice. (A U2 and a U'2 are the same) The prime don't matter when doing a move with a 2.
These are R and R' Moves. You move the shaded area in the direction the arrow faces. Example: If you hold the cube white top green front, if you do an R' move, there will be white and blue on the top with green and white on the front.
These are L and L' moves. You move the shaded part in the diretion of the arrow. If you had white top green front and did an L move, you would have blue on the left part of the top and white on the left part of the front.
These are U and U' moves. As always, you move the shaded part in the direction of the arrow. With a white top green front, and you do a U' move, You have a full white top and orange on the top layer of your green side.
These are D and D' moves. As always, the part that is shown is the face looking at you, not the top. You move the shaded part in the direction of the arrow. With a white top and green front, and you do a D' move, you get red on the bottom part of the face at you.
These are F and F' moves. Keep in mind that the cube shown is the part facing you. The F move is the whole face that is at you clockwise, while F' is counterclockwise.
These are B and B' moves. B stands for back. You don't touch anything on the face that is at you when doing B or B' moves. If you have green front white top, and do a B' move, you will have orange and white on top. If you did that then that is a B' move.