JUNGLING-
Begin with double marauders and some health vials.
Try to go to health and speed bots before your first back to base.
Rush your coda blade, then go for some bigger items.
When jungling, be careful of your map and what hp/speed/emp drops you have at base. Getting the EMPs at tip and bottom are sometimes part of your job as well.

You can try to get early ganks at level 3 or four, but if the teams are evenly matched, it will be harder. However, upon reaching lvl 6, ganking becomes a lot easier. Make sure to ping or chat team for ganks with your ult.
At mid game, try to get some more ganks, but still play it safe, because your health will be lower than enemy shazam and superman. Try to get into teamfights that are halfway done with your ult, then get some easy kills.

SKILL USAGE

When going into elite camps, jump in with your Q and then clear with E. Hit the main bot with your revved W, which will damage it a lot more than a regular W.  Your Q will be a very helpful utility when etering and exiting a fight. I have often saved myself by vaulting over a car or wall while running away. The same can be said for when I am chasing a kill.

The W is also the skill you want revved, and the E will be used to slow the enemy. If you can vault in without needing to run, use it. However, it is sometimes better to keep the Q for running after being hit a few times. Some champs such as gaslight baman and joker have very good skills to run away, but have long cooldowns. Try to gank these champions after they use them to make sure you get the kill, or save your Q for when he runs away.

SITUATIONAL

The core items are not full because you will always need to build around the enemies strengths and weaknesses. 
(Build Claw for Attk Armor, Sword of Beowful for Power, or both)
When repeatedly backing or going to turrets, buy promethium mace or hawkman's harness and then sell them back when you have enough for a big item.
If you have only one tank, build some of these armor buffs as well as hawkman's harness over the promethium mace

Atomic Wonderwoman has amazing cleanup but has a hard time when getting focused by more than one enemy. She excels at jumping in a teamfight and ganking in lanes. Since she has no will or energy, there is more room to get artifacts you will need situationally.