You can create a map in ArcGIS as a standalone project or as part of a story map. Tutorial:Use express maps to help tell your story (arcgis.com)
You can embed your storymap into the Class website using these instructions from ArcGIS depending on what type of map you have created by getting an embed code from your ArcGIS Storymap project.
Below is an in-depth tutorial on getting started with ArcGIS Storymaps provided by the IU Bloomington IDAH (Institute of Digital Arts & Humanities.