Norwood spent his life in many different parts of the United States while his father, Brian Norwood, now defensive coordinator at Baylor University, coached different collegiate football teams. In high school, he and his brother (Jordan Norwood, a former football player at Penn State where his father coached until 2007) were part of the state championship team at State College Area High School in State College, Pennsylvania.
He won the 2008–09 PBA Rookie of the Year for his promising performance inside the court. He was also named into the Second Mythical Team in the same awards night. In the 2010 All-Star Game in Puerto Princesa, Norwood won the Handy Fix All-Star Game MVP for his highlight dunks and moves and also because of his baskets in the critical moments of the game. He had 17 points, 5 rebounds, 4 assists, 2 steals, and a block. He led the North All-Stars to a 133–130 win over the South All-Stars.
Norwood once again joined the national team, this time under the 2nd incarnation of the Smart-Gilas program. His athleticism and versatility on both sides of the floor was a great asset in the team's run to a silver medal finish in the FIBA Asia Men's Championship, hosted in the Philippines.