The only material you need for this instructable is your Rubik's Cube- so let's go! NOTE: You can view this instructable here, or download the abridged version as a one page .pdf
Use the picture as a guide- ULF would mean turn the Upper layer clockwise, then the Left layer clockwise, then the Front layer clockwise, whereas UL'F would mean turn the Upper layer clockwise, then the Left layer counter-clockwise, and the Front layer clockwise.
Step 1: The Cross
Now look at the edge pieces that make up your cross. Align all of them with the correct color of center piece that they touch. (This step is mostly intuitive, but might require flipping the F, R, L, or B layer twice to get the piece to B)
Step 2: Solving the Edges
From there, orient the cube with those pieces in F. Perform the algorithm L'UL to get the piece in place. Repeat this step only twice more with other pieces.