  $k$-Dyck paths differ from ordinary Dyck paths by using an up-step of length
$k$. We analyze at which level the path is after the $s$-th up-step and before
the $(s+1)$st up-step. In honour of Rainer Kemp who studied a related concept
40 years ago the terms \textsc{max}-terms and \textsc{min}-terms are used.
Results are obtained by an appropriate use of trivariate generating functions;
practically no combinatorial arguments are used.
