2009-10: Tucker Poolman played in 27 games as a junior at East Grand Forks High School in Minnesota. He scored 3 goals with 7 assists and had 2 penalty minutes in 25 regular season games. In two Section 8A playoff games he had 2 assists.
2010-11: Poolman competed for Team Great Plains in the Upper Midwest High School Elite League in the fall before returning to East Grand Forks for his senior year. He scored 2 goals with 5 assists in 19 UMWHSEL games. During the high school season he scored 5 goals with 17 assists in 25 games. East Grand Forks lost to Warroad in overtime in the Section 8A semifinals.
2011-12: Poolman skated for Wichita Falls in the North American Hockey League. He was the third-leading scorer for the Wildcats, scoring 7 goals with 22 assists in 59 games and was +5 with 29 penalty minutes. The Wildcats missed the NAHL playoffs; finishing sixth in the South Division. Poolman was selected by Omaha in the third round (38th overall) of the 2012 USHL Entry Draft.
2012-13: One of three players to skate in all 64 games for Omaha, Poolman scored 14 goals with 14 assists and was -7 with 49 penalty minutes in his first USHL season. Omaha missed the playoffs after finishing fifth in the Western Division. Poolman was selected to play in the USHL/NHL Prospects Game and in November 2012 he committed to playing college hockey at North Dakota in 2013-14. Not among the 2010 North American skaters in Central Scouting's final rankings, Poolman was selected by Winnipeg in the fifth round (127th overall) of the 2013 NHL Draft.