just my way of getting items, do you wanna read HOW TO play akali check some other guides :P
this is not a 2000word essay about akali, simple items, skill order etc.
When i "read" guides i cba to read those fancy 2500word essays with letters in different colors and so on, i don't even read it, the thing i check is.... items, skill order maybe masteries, nothing else lol. its TOO much

i might add something more later on if i bother
nuff said

guess i can say something anyhow. so my runes specify in getting more than 20ap @ level 1
this allows you to buy long sword, which will give you both akalis passivs

hm where to start, i go for 10-20-0 with improved ignite and cleanse, some may go differently go ahead, i take this because akali will get targeted and need the extra survivability

due to the fact that 2 of my items are stackable some may want to change them with bad start or just new on akali.

With Rylai's, get giants belt first if against hard dmg team, get the AP items first if you feel secure without the ~400hp extra. get Rylai's relatively early due to health,AP and slow, with this item you can kill any squishy champion in no time and they cant run with the slow+ultimate

get hextech revolver first when you start with gunblade.

if the game isnt over yet get large rod and build it into deathcap

your mission in team battles is to.... take out squishy carrys/any squishy- ashe,teemo,ezreal those champs!!!!
DO NOT engage with your Shadow Dance on the squishy champs, rather wait a bit to be sure than get 1vs5 :P
Try to make Crescent Slash hit as many as possible to allways recharge your Shadow Dance with assists,
Jump around between squishy champs with Shadow Dance and put Twilight Shroud between your carrys/squishy champs and the enemy, still close enough so you can hide tho!
if they got any healer/mundo put ignite on mundo/the target the enemy healer currently is healing.