Hamilton's equations
The Legendre transform $\mathcal{H} = \sum p\dot{q} - \mathcal{L}$, Hamilton's equations $\dot{q} = \partial\mathcal{H}/\partial p$ and $\dot{p} = -\partial\mathcal{H}/\partial q$, cyclic coordinates, and Poisson brackets.
About 30 minutes8 activities Paper packet