A two time Hockey East Second-Team All-Star, Rodrigues tallied 121 points (42 goals, 79 assists) in 146 contests throughout his career as a BU Terrier.

During his senior year, Rodrigues finished second in the nation in scoring with 61 points and was named Hockey East Player of the Month in both January and April 2015.

[8] On August 25, 2020, Rodrigues was traded by the Penguins to the Toronto Maple Leafs along with David Warsofsky, Filip Hållander and the 15th overall pick in the 2020 NHL Entry Draft in exchange for Kasperi Kapanen, Jesper Lindgren and Pontus Åberg.

[9] However, on October 9, 2020, unable to come to terms with Maple Leafs and having not received a qualifying offer, Rodrigues returned to Pittsburgh as a free agent on a one-year, $700,000 contract.

[11] On September 12, 2022, Rodrigues as a free agent was signed to a one-year, $2 million deal with the defending Stanley Cup champion Colorado Avalanche.

[12][13] Following his successful lone season with the Avalanche, Rodrigues left as a free agent and was signed to a four-year, $12 million contract with the Florida Panthers on July 2, 2023.