Masteries

• Fury (x5) : The 2% extra damage from spells Sorcery has isn´t much, so Ezreal gains more from the attack speed.
• Feast(x1) : You have super sustain with it, which gives you a big advantage on the lane, if the enemy ADC uses Double Edged Sword or Expose Weakness .
• Vampirism (x5) : You have 2% extra lifesteal which gives you extra sustain. You have already 3% lifesteal with your Doran's Blade so 5% is better than 3%. Natural Talent is better in the late game for you but the early game exists too!
• Oppressor (x1) : If you get kills the whole time, Bounty Hunter is better for you, because you have no CC with Ezreal. But if you have a Supporter that has hard CC, Oppressor will be better.
• Battering Blows (x5) : You deal almost no magic damage, so Piercing Thoughts is not as good as Battering Blows is.
• Fervor of Battle (x1) : Warlord's Bloodlust is very strong at the moment, but you already have lifesteal with Doran's Blade and Vampirism so Fervor of Battle is better for Ezreal. So Fervor of Battle adds a lot of DPS (Damage Per Second) for a masterie, so take it.
• Savagery (x5) : You won´t roam as a ADC so Wanderer is useless for you. Savagery improves your last-hitting and it will be easier to lasthit under tower.
• Secret Stash (x1) : Runic Affinity is useless for you, because it extend the duration of the redbuff (you won´t get red in early game). Assassin is not this usefull for you, because you are almost 2v2 on the lane, so Secret Stash is the strongest option here. You 15 HP and 15 Mana instantly and the duration of your Health Potion is 10% longer.
• Merciless (x5) : Merciless is the better choice for you, because you are an ADC and you want to do damage. Meditation is good for the early game but is no this usefull in the mid / late game.
• Dangerous Game (x1) : Bandit is nice, but 1 Gold per lasthitted minions which are nearby is not this usefull like Dangerous Game is, because you get 5% of your missing Health and Mana back, if you kill a champion or you get an assist.

Farming

DEFENSIVE FARMING

• Melee Minions get 2 hits from the tower, getting very low hp, and can be taken by one Ezreal auto-attack.
• Caster Minions get 1 hit from the tower, getting around 25% health and CANNOT be taken by one Ezreal auto-attack. Depends on attack damage you have, you can first hit the caster minion, tower hit 2nd time, and you last hit to take him down.

PASSIVE FAMRING

• While farming passively, try just to last hit the enemy minion with auto attack, dealing only death blow.
• Try to keep moving all the time around and stand beyond your minions, to avoid getting shot by the enemy champion.
• Use whenever you can Mystic Shot to make sure you take the final blow to the Siege minions (at least I do it and almost never miss the death blow).

AGRESSIVE FARMING

Ezreal

• Your enemy presence is not there, or if your opponent is, make sure you own him in a 1vs1 duel, and he cannot kill you (you have secured kills, you know how to play against that champion, the opponent is pretty weak etc.)
• Make sure you have warded the whole area around (bruises, river etc.) and the other enemy team members are on their lane / low chances to get ganked.
• Don't push very aggressive if they have champions like Twisted Fate, Nocturne, Shaco, Evelynn on their team.

Tips and Tricks/Facts

• Ezreal's Arcane Shift can be used to help line up your skill shots, but avoid using it in situations that leave you vulnerable.
• Use Smartcast. I mean it. Don't say to yourself that it's not a huge deal, it's a BIG deal. Smartcast can give you that extra 0.25 second reflexes which will get you that extra kill on Mystic Shot or allows you to Arcane Shift gtfo of a bad situation.
  Please, trust me on this one, use it.
• Don't hesitate to use Trueshot Barrage to clear a wave to defend your tower
• Trueshot Barrage can be used at the beginning of a team fight to instantly gain 5 stacks of Rising Spell Force.
• Watch your passive stacks. Whenever your killing mobs and your low on mana, conserve your mana and refresh the passive just before it wears off so you can keep it at 5x stacks while using the minimal amount of mana.
• Using your Ult when you are about to be CC'd by ( Malphite, Malzahar, Lee Sin, Skarner, Anivia) you can cast your Ult it will not be interrupted which proves to turn the outcome of the fight

• Ezreal's Essence Flu used to heal allied champions it passed through while decreasing the atk spd of enemy champions hit for 5 seconds.
• "Its all skill" is a reference to the three of his abilities being skillshots.
• Notthingham Ezreal is a reference to Robin Hood.
• Ezreals taunt asking about power levels is a reference to Dragon Ball Z.
• He was the first to have a Champion Spotlight on the Riot Games YouTube channel.
• It was assumed Ajuna ( Ekko Ekko's friend from 'Seconds' and 'Chronobreak') was Ezreal.
• He was also the first IP 6300 champion released after the game's official launch on 27-Oct-2009.
• It is believed that Explorer Ezreal is a reference to the web browser Internet Explorer. He seems to be part of a set of skins that have a browser reference, including Chrome Rammus, Safari Caitlyn, and FoxFire Ahri.

Summary

• I'd like to thank you for reading this build, don't hesitate to post a comment so I can maybe correct/add informations on this build !
• Hope you learned how to play Ezreal and have a nice day.