Just Bought and Played Irelia

And so far, my main thought has been how fun she is. She can just dash around with her Q resets, and her E punishes the enemy for getting lots of poke off(godly against Teemo). I find that I have no idea how to use her ult, but I will learn. I had a really hard time landing against the enemy Riven, but once our Nunu started banking, I got like 4-5 kills, then began roaming. I ended the game like 12/6, which isn't amazing but I felt accomplished because I played a new champion, enjoyed her, and did somewhat well. We did lose, but that was because our botlane was Cho'gath and Fizz(WTF). for life <3<3 Tips or builds on Irelia would be appreciated, or just a discussion about her in general.