Hi!
I'm a euwest summoner, i played teemo about 100-150 games and i think that ap teemo is the best way to use this awesome carry. This won't be a great guide, is only for learn to play teemo this way instead of rushing ad items or as without doing damage. If you vote leave a comment so i can improve the guide and my playstyle

Now start..this is Teemo's lore for understand your champ:
Teemo is a legend among his yordle brothers and sisters in Bandle City. As far as yordles are concerned, there is something just slightly off about him. While Teemo enjoys the companionship of other yordles, he also insists on frequent solo missions in the ongoing defense of Bandle City. Despite his genuinely warm personality, something switches off inside Teemo's mind during combat so that the lives he must end while on patrol do not burden him. Even as a young recruit, the drill instructors and other trainees found it a little disconcerting that, while Teemo was normally charming and kind, he turned deadly serious and highly efficient the minute combat exercises began. Teemo's superiors quickly steered him toward the Scouts of the Mothership, which is one of Bandle City's most distinguished Special Forces unit alongside the Megling Commandos.
While most yordles do not handle solo scouting missions with a great deal of finesse, Teemo is remarkably efficient at them. His record of success in defending Bandle City from infiltrators easily makes him one of the most dangerous yordles alive, though you'd never know it by having a cup of honey mead with him at his favorite inn. Bandle City chose Teemo as their first champion for the League, and he has taken to it like a duck to water. His signature weapon - a blowgun - uses a rare ajunta poison he personally gathers from the jungles of ***ungu. To help cope with his lengthy periods of isolation, Teemo recently struck up a friendship with Tristana, a fellow League champion and fellow member of Bandle City's Special Forces. This connection is healthy for both yordles, though now Valoran's voracious media outlets circulate rumors that the friendship is turning into a romantic relationship. Regardless, Teemo is a crowd favorite in the League of Legends, and a pint-sized foe that many have come to fear.

"Teemo rides a thin line between chipper compatriot and unrepentant killer, but there's no one else I'd rather have as a friend."
― Tristana

ok this is the lore..i think that teemo has got a strange concept and this makes him funnier to play for me

.I use the as marks for get more early as that is good and will increase the impact of the nashor tooth
I take health marks for early game when have lots of health is a good thing and you'll not be squishy like a paper sheet and you'll get 80 bonus hp for runes and masteries.
The glyphs are flat ap for get more early game damage that will help you to take the first blood.
Instead of taking AS we'll take AP quints, always for early game damage

now, the offensive tree enchanches your as, give you 5 AD/AP when you 'll use ignite and if you take it you'll use it in early game lots of times. we take some cdr, for shrooms also take blast and archmage that mean even MOAR AP MUAHA that is what we want to take. I take the 3 damage for early game. .

---

I take defense because is a bit more useful then utility's ones.
I take scaling health for be less squishy, 2 armor and 2 mr so you'll take some reduced damage if you are vs ad or ap champ. And now the main def mastery: veteran's scars. 30 health in ealy game is a lot, i can't count how many times i ran with less then 30 hp