Jupytext. It provides two-way conversion between Jupyter and Markdown, note that an extension for VIM also exists.
It can be installed simply with:
pip install jupytext
Now, when you open the notebook you should be able to notice, inside the File menu, the jupytext submenu. Select pair notebook with markdown, this creates a markdown file with the same filename that will be updated each time you save the notebook.
The Jupytext theme automatically filters out the header before it displays the presentation.