Peters, a 6-foot-4 guard from Suitland, and Dodd, a 6-foot-9 center from Centreville, make up the No. 21 recruiting class in the country, according to 247Sports.com.
Peters, a four-star prospect who committed to the Terps last month, averaged 25 points and seven assists as a junior.
"Roddy is a great kid and comes from a great family," Maryland coach Mark Turgeon said in a news release. "He's a great example of us trying to keep the best local players home at Maryland. Roddy loves Maryland and we recruit that -- kids that love it here and really want to be here. He has excellent court vision, a great feel for the game and his length at his position is a great asset. He's an unselfish basketball player that is all about winning."
Said Peters: "I really liked the coaching staff and I'm looking forward to playing and learning from Coach [Mark] Turgeon. Coach [Dalonte] Hill and I really bonded during this process. The Terps practice and work hard; they are very disciplined on the court and I feel it will be a great fit.
"Maryland basketball has great history and a rich tradition. I loved watching Steve Francis, Juan Dixon and Greivis Vasquez play. I am just excited to have the opportunity to continue playing basketball at the University of Maryland."
Dodd, who averaged 24 points, 16 rebounds and seven blocks as a senior at Queen Anne's County High last year, pledged to the Terps last February. He's currently enrolled in a post-grad year at Massanutten Military Academy in Woodstock, Va.
"Damonte will be fun to coach and he really has big upside," Turgeon said. "He plays extremely hard and he strives to get better every day. He's almost 6-foot-10 and still growing. He runs, rebounds, and blocks shots, and his best years on the basketball court are ahead of him. He fits the mold of who we recruit as an unselfish and good kid."
Said Dodd: "When the coaching staff came to see me play, I was just very excited. With Maryland being so close to home and so many people from my family, friends and high school coaches wanting me to go to Maryland, it was an easy decision. I like to make people happy so that weighed into my decision, but most of all I knew Maryland was the right place for me.