Beavan, 23, has seen two very different games so far in Arlington. He lost a rare 1-0 pitching duel to Neftali Feliz in his season debut, on April 10, giving up just the lone run in 6 1/3 innings.
And he was the beneficiary of a huge offensive outpouring in Seattle's 21-8 victory over Texas on May 30, when he won despite giving up five runs on eight hits in six innings.
"That's the funny thing about this game," Beavan said. "You never know who is going to show up to play, who is going to do good or bad, or who is going to throw a perfect game. This game is too hard, it's too simple, it's hard to understand sometimes. You've got a lot of things going into it."
But having attended games at the Ballpark as a kid, he knows how rare that 1-0 game was.
"It's hard to realize the good things from this park sometimes, because you're playing such an overpowering team in a great hitting ballpark here at the same time," he said. "So when you do something like that, it makes it that much sweeter."
Beavan enjoys pitching in Arlington, but he says Sunday's outing doesn't figure to be quite as nerve-wracking as the first time he stepped on the mound against the team that drafted him in the first round in 2007 and traded him to Seattle in 2010.
"Even that first time, I wasn't as nervous as I thought I'd be," he said. "I had butterflies, obviously, because I'd always dreamed of pitching in this ballpark. But I don't think it'll ever be the same feeling, because I did it with another team. The best thing was just getting to pitch at home, which was nice."
Beavan's parents, wife and in-laws will be in attendance on Sunday, along with friends and other family members. He and wife Allison live in Fort Worth, about 30 minutes from Rangers Ballpark.