  We show how both the spectroscopy of heavy-light hadrons and the slope of the
Isgur-Wise function can be simultaneously fitted when Heavy Quark Effective
Theory is matched onto dynamical quark models, including careful treatment of
wigner rotations. Working consistently to order $\vec{v}^2$ and using the
parameters from hadron spectroscopy as input, we determine the slope parameter
$\rho$ for s-wave transitions to be $1.19 \pm 0.02$. This agrees with the
emperical value for $b \rightarrow c$ transitions.
