Well first off I would explain that you should first solve the first layer edges and then the corners. For solving the edges I would make sure the people reading the tutorial knew too:
1. Keep the Cross you make on top (the U face).
2. Too solve the edges, first find a white edge, put it on the down face, rotate the down face until the non-white color of the white edge matches the center piece of whatever face it is on and then just rotate the face upwards twice.
3. The algorithm for inverting the colors of an edge piece (R' U F U').
I might not have explained this very well, but I think all of my points are explained more clearly and with diagrams on page 3 of this PDF: http://www.rubiks.com/solving-center/pdf/Rubiks_cube_3x3_solution-en.pdf
As for solving white corners, I think it would be useful too explain what the correct position of an edge is (as in, it's final position), how too rotate a corner so that it is directly under its correct position, and the algorithm too bring it up too it's final position (R' D' R D). Again, all of these points are explained on page 4 of the PDF I linked above. If you want too add some other useful algorithms for this step, you could put in some of the ones at the bottom of this page: http://cubewhiz.com/beginner1corners.php.
These are just my two cents, anyhow, and I still think it's an excellent tutorial.