INTRO
It's my first guide so things my be chaotic but ill try to give some tips to help you in your future games.
Batman is not the best pick for jungle in this game but when used right can be a beast. In My short guide ill try to guide you to some of that hidden potential.
Playing Batman Tips
When it comes to it batman is great 1vs1 duelist with great utility to back it up. His only big setback is his resource managment, Batman spends that energy like crazy so you always have to be smart with your skill use to not find yourself in situation where you cant use them. Other important thing to point out is his pasive, never underestimate it, it can not only save your life or early return to base but also change the flow of battle... just rember to not have it on cooldown if you dont have your ultimate ready. As jungle batman your goal is to get to lv 3 as soon as possible before you can even think about ganking or counter jungling without all your skills its a suicide! Its good to start at either 2 bottom camps or destroyer with help of your teamates then go about usual jungle routine before engaging into gank. When engaging with batman you should always either Q>W>E>Q or W>E>Q>autoattack to ensure that enemy stays in range of your allies as long as possible.
Itemization
When Jungling batman I start wth 
 Marauder Shield (1)  and 
 Nil Weapon as his innate tankiness and pasive make up well for lack of potions, going for early 
 Coda Blade (1) next then rushing 
 Soultaker Katana (1) (its a must have item on any ad champion). Your main goal would be maxing 
 Soultaker Katana (4) as soon as possible then the 
 Marauder Shield (4) and 
 Coda Blade (4)  somwhere between, they are not top priority items but still are very essential especially the Shield. Your fourth item in build should be 
EITHER [[Ra's al Ghul's robe (2)]], 
 Suit Of Sorrows (4) or the 
 Kryptonian War Armor (4) depending on enemy team composition the Cape is overall good but Suit and Armor are hard counters to overwhelming Ad or power damage, you will never need all of them because of your Pasive. Then you take 
 Claw Of Horus (3) as your fifth item(You can take it eariler but it's usually better to build damage on batman in early to mid game). All items after that are dependant on situation of your game, but overall [[Joe Chill's Revolver (4)]] or 
 Velocity 9 Implants (4) are good option. Though  any game is never the same so the last pick in your build should always acomodate what you need (Like picking 
 Atomic Axe (2) when you are heavy ahead or enemy has a lot of armor), also remember to sell that nil weapon when you no longer need it