  Using the Hatcher-Oertel algorithm for finding boundary slopes of Montesinos
knots, we prove the Slope Conjecture and the Strong Slope Conjecture for a
family of 3-tangle pretzel knots. More precisely, we prove that the maximal
degrees of the colored Jones polynomial of such knots determine a boundary
slope as predicted by the Slope Conjecture, and that the linear term in the
degrees correspond to the Euler characteristic of an essential surface.
