Yes. I definitely took my EAD and approval just in case. I also took my passport just for the heck of it. People say it's like flying to any state in the US but i kind of disagree because i noticed TSA looks at you more carefully. When i traveled to Florida both times the TSA guy barely checked my ID, same thing to Cali but in PR they just want to make sure you're the one on your ID since there has been cases where people use someone else identity just to get to the mainland. As long as you can prove you live in the US you should be good to go!