Akali is a burst oriented champion who is mainly played in the mid lane but can also be played top. Her early game (pre 6), is where Akali is very vulnerable and cannot do much and your main goal would be getting as much as CS as possible and focus on staying alive. Once level 6 has been reached that's where the game really starts for Akali because her ultimate Shadow Dance [img=skills/akali/r.png] is what makes Akali the champion she is.
This is the skill order I use everygame since Q is your main source of damage when proc. I don't see anything different than this working especially since Akali' shroud got nerfed.