Rodriguez homered off Doug Mathis in the fourth inning Saturday, a solo drive to right-center that gave the Yankees a 7-0 lead over Texas.
Rodriguez had gone homerless in his first 41 at-bats, his longest homerless streak at the start of a season since 1995, when he went without one in his first 48 at-bats for Seattle.
"They were all ragging on me that I hadn't checked in yet," he said.
He didn't dwell on passing Big Mac.
"It feels good to keep moving up the line," Rodriguez said. "I think there'll be a time and a place for reflection, and that will be many years after I'm done playing."
Information from The Associated Press contributed to this report.