The former world number one hit three birdies after the turn to find himself three shots behind leader Troy Matteson.
Woods said: "I felt in control on the back nine. Towards the end of the front nine, I was hitting it really well. Just missed a couple of short putts on eight and nine but I was hitting it really well. Just continued it and it felt really good on the back nine. I hit some really good shots.
"Turning at even par, I felt like I just got run over there. It felt like I had to shoot something at least three, four under par on that back nine, and I happened to get one more, which is nice.
"It's going to take something like 20-plus to win the tournament, so got to be aggressive and go get it."
Woods is currently second in the world rankings, with only Rory McIlroy ahead of him.