When playing as Akali, most people use their E-E2-Auto-Q-W-Q or something along those lines. A lot of newer players forget to utilize ignite and her passive. Her passive deals a lot of damage when its up, so make sure to auto when your passive is up and utilize your ignite. A lot of people think, "well that's obvious", but you would be surprised how often people forget about them. Another thing to note, you can use your R and flash to hit multiple enemies. It will take some practice but it is very useful in team fights.