You were looking for theeee build - this is it .. test it and find I speak the truth .
You will shock everyone in your party and yourself. As for the skill levels .. try to put all points into running and toxic shot - the rest of the points go into noxious trap to help give a little more bump to your attacks and to slow the enemies down more for you.
Now don't judge - constantly ingame first comments I get are oh hell no this F@@@er is tankish,ap - in truth I am tankish and speed the ap is just a bonus to what I m really after and it shows mid game really well . By lev 10 the comments change to oh dam did you just see teemo slay them three guys and destroy that tower 0 0 - go go go teemo rush their base we ll gaurd the base while you solo it lol...
You'll see....
Enjoy- and don't comment a no idea comment unless you actually took the time to test my build out - at least give it three matches then comment on this build . You ll be surprised.

After purchasing all needed items you then purchase all the potions increase atck dam, speed, ap , etc go all out - your char will drink all the potions on the spot - (can t purchase them when dead )- - u would be shocked how many don't know this trick still -

Go all out on attack damage and some extra health to buy you time to do your thing.

Just do it as its given- League of Legends did their research they made those items default choice for a reason. And then get the warmog armor- one because I said so , two because you get health for every minion kill ,three because it regenerates your health when you get assists and kills which is bonus plus the 10 regeneration with it .
Try it then do your own thing I told you the right way be stubborn and do it your way after you try mine for three matches . Then make your suggestions what should be bought instead - and mess it up ( half of you will - the other half will actually know what their talking bout )