Akali is a mage burster who excels in doing just that, she does exceptionally well in combat like in a 1v1 situation she has great mobility with her shadow dash and can escape the most sticky of situations with her W (twilight shroud)

Pros Cons
-Insane amount of burst damage -Gets raped my CC (crowd control)
-Can escape with her q and w -Really squishy
-Can constantly poke her opponents with her q -No crowd control at all
-Snow balls if your doing good -Higher learning stat
-Mostly gets focused first when in sight
-Vision wards, oracles and others will
render akalis stealth useless

Personally i dont like to proc the other passive cause i just like to play all out ap and with the rune page that i have set will give you more sustain in battles because of the per level vitality, for the glyph of force that is not part of the build i put it in because they dident have flat ap in glyh for some reason which is Greater glyph of potency

21/9/0
More ap
More sustain

Switchable itmes
You can switch the boots around depending on the enemy team if they have alot of CC get mercury treads too much ad get ninja tabi, DFG (death fires grasp) can be replaced with a rabadans deathcap late game or mid if you wish to do alot more damage with your lich bane, WOTA (will of the ancients) can be replace for hextech gunblade either one will work well and you can fit in a ruby crystal in if your feeling squishy early game

Core items
Your core items should be Boots (any boots), crystal scepter and WOTA

With akali i always get flash and ignite standard assassin choice

Switchable summoner spells
-Ghost to run away quick
-Teleport to protect a turret or to teleport near a team fight and change the tide of it
-Exhaust to catch those who are slipping away from your grasp
-Cleanse to remove and CC on akali because CC will destroy her
-Heal if you want to tower dive and come out alive and more

Akalis combo is
-RQWEQ i use this if i want to suprise them
-QRQE when im close and they have vision of me and trow in your w anywhere in the combo if needed

well thats the end of my build this is how i play akali anddd yeah dont follow my teemo build that i have its a complete fail and cause i made it when i dident know how to play Leauge lol....