Not Updated For Current Season
The masteries shown here are not yet updated for the current season, the guide author needs to set up the new masteries. As such, they will be different than the masteries you see in-game.
Plain and simple build for Irelia.
Buy the meki pendant for longer laning early game, and in order to build towards manamune (HIGHLY underated item). Try not to come back to base until you have at least 605 gold for tear. Or if laning is going well and you got an early gank, buy the first level boots as well.
Harass with Bladesurge and Equilibrium strike if you feel comfortable. Hitten strike should almost always be on CD if you are using it correctly. It adds so much to last hitting minions and the lifesteal makes buying lifesteal items less important until mid-late game.
This build is meant to be simple and always needs to be open to consideration depending on enemy team make ups and ally team make ups.