Well, now you have your "starting core items", You Go in the bush near raptors (of your side, of course).
After, tell at you team to stay a little bit in case of ganks, and if nothing happend,
start to set up your bush (near raptors) with your E. If you do it done, you will have 3 E in this bush, and start to make damage at the raptor's mother (the bigest rapt xD). Because your E will give a collaterals damages, they will focus the childrens rapt. So focus you on the mother, and set E when you can in the bush.
After, go to your blue, and use your E in bush for more damage.
This is a usefull spell, and very powerfull.
Well after you can do your gromp,and use your smite! (for the first time).
Then, you have two choices; the first one is gank top or mid, but the most of the time it gives nothing because you dont have your Z, so you dont have many CC for killing someone at the first try. Dont make wofles, you will die.
So, you should go to your red,(dont forget E in bush, niah niah niah).
After you can look again for ganking mid or BOT, but be carefull of a possible counter jungle, so dont forget to ward your jungle.
So if you cant do nothing for lanes, let's go back and buy some items.
Boots is a must-have for Maokai, because of more speed, and your predator; clear is more easy, and pretty fast, and you will gank more times if its possible.
After, try counter jungle if the jungler cant do a burst one you, dont forget bushs is your friend.
Well, until 10 min minutes, I play pretty safe (I just gank top or mid after blue or mid/bot after red)
Maokai is not the better jungle, but he's a late champ, and mid game you will starting to deal damages, and be tanky, remind you you're a passive jungler before 15mins (exept if you're feeded, of course).