This guide is by no means finished, as I learn more about Jax I'll continually make amendments. If you find some sort of error, or even some part that could be improved, I implore you to bring it to my attention.

The advantage of incorporating Teleport into your playstyle is that as long as you have a handle on your lane, you can teleport to other lanes and gank where needed. Your Boots of Speed will allow you to run back to your lane and regain any ground you may have lost. That being said, it should be noted that you shouldn't throw your life away on a lane that isn't yours. If their champs are massed in another lane, go all in and push as far into their territory as you can using Grandmaster's Might. If you make a big enough dent, your enemies will notice and rush to repel you. It is at this point that you teleport back to the lane in distress and aide in reclaiming their lost ground, while the enemy scrambles to push back in your lane.

In the early stages of the game, you'll be tempted to spam Counterstrike to clear squads faster. Be patient, Jax's attack speed will gradually increase, but reserve your mana for champions.

Once you're into the mid-late stages of the game, one of the most effective methods of taking out champs is what I call the ******** Bushwack Combo. To do this, you must get the champs in your lane to retreat in some fashion. Once he's out of your view range, hop in a bush, and wait for him to countercharge. Most likely he'll think you went back to base, so he'll exhaust his mana trying to make up for lost ground. As soon as he walks past: WQ, if he has friends, he may believe he can take you, hit E and quickly spam W and Q to take out him and his friends.

The Early game is quite possibly the hardest part of the game for Jax. YOU MUST PLAY DEFENSIVELY. Never stay too far from your tower unless you are confident of a one-shot. This is a crucial stage of the game, avoid feeding your opponent at all costs to avoid playing catchup for the rest of the game.

Mid game is when Jax starts to shine, push push push to take towers, gain ground, and take pressure off other lanes. Don't get too ambitious and tower dive unless you're certain you can one-shot them and get out before you take too much damage.

The late game is when Jax becomes a real force to be reckoned with. Ideally, have a tank or another fighter engage enemy champions before jumping in and taking out the trash.