Among the five still unsigned is the Angels' first selection, left-hander Hunter Green out of Warren East High School in Bowling Green, Ky. Green, taken in the second round with the 59th-overall pick, has a full scholarship to the University of Kentucky. But the Angels are confident they'll strike a deal with him before the July 12 deadline.
Also unsigned are four right-handed pitchers -- Elliot Morris (fourth round), Kyle McGowin (fifth), Garrett Nuss (seventh) and Blake Goins (12th).
Twenty-one of the Angels' 39 selections were pitchers, including a club-record-tying seven in a row to start the Draft (also done in 1999).
Alden Gonzalez is a reporter for MLB.com. Read his blog, Gonzo and "The Show", and follow him on Twitter @Alden_Gonzalez. This story was not subject to the approval of Major League Baseball or its clubs.