The group of players includes three prospects selected in the first 10 rounds, most notably Chad Bettis (2nd round), a closer out of Texas Tech.
Bettis, who worked as a closer for Team USA and has a fastball that tops off at 98 mph, led the Red Raiders in saves (10) and strikeouts (102) in 85 2/3 innings this year. He is expected to make his professional debut for Class A Short-Season Tri-City.
The Rockies also agreed to terms with Jared Simon (6th round, OF, Tampa), Corey Dickerson (8th, OF, Meridian Community College) and Jordan Ballard (33rd, 1B, Virginia Military Institute).
"It shows you their eagerness to get out there and play," said Rockies vice president of scouting Bill Schmidt.
Mark Tracy, Rockies manager Jim Tracy's son and a 22nd round choice out of Duquesne, also agreed to terms.