Starting Items

against assassins, Doran's Ring is preferable since its flat health provides better protection against their burst.

Build in any Order

These three form the absolute best gold/dmg possible for AP Ezreal over just about every situation and build into excellent components later on.

finish all three items before moving on.

Build in any Order, Again

If bursting remains valuable, choose Lich Bane. If skirmishes are beginning to occur extensively, choose Void Staff.

build both before continuing.

Build in any Order, Again, Again

Gunblade is superior for burst while Rabadons is superior for skirmishing and teamfighting.

Finish both before reaching the final situational tier.

One Last Item

Ludens also allows Sorcerer Shoes to be sold to open up one extra slot for the other purchases.

Morello is more valuable for its Grievous Wounds than its cooldown reduction,

The Dark Seal is the preferred option since AP Ezreal does not have significant mana issues during the laning phase. However,They can be built in any order. Consider Sheen for safety, Sorcs for roaming/dodging, and Revolver for aggressiveness.If very ahead during the laning phase, skip Sheen or Revolver to the next tier. Otherwise,These next two items are roughly the same gold/dmg efficiency making them the next clear choices. Lich Bane is superior for overall bursting power while Void Staff is superior against early magic resistance and teamfighting power.In any case,Same as the previous tier, these two choices excel as the best gold/dmg choices at this point in the build. And just as the previous tier,Choose based on that criteria.With one slot remaining, a couple of choices stand out. For absolute damage, Luden's Echo can't be beat as the final choice.If raw damage is no longer as high a priority, the utility and survivability granted by the other options is excellent as well. They're more suited for skirmishing, especially with the healing synergy provided by Hextech Gunblade, and should be picked up within those parameters.so consider it primarily in that situation.