Graphing Stories was a great addition to my class this year. It started as the Possible or Not activity that I used during our first unit (about functions, operations, input, output, etc.) and grew as I made my own graphs on Desmos to draw out understandings of new function types.
At first I required students to write or type their stories; then I provided individual whiteboards so they could just jot them down; then, sometimes, I let students share their stories without writing them anywhere first. Sometimes I meticulously demonstrated an interpretation of the graphed information, while other times it was merely a discussion.
I dictated that we were looking at distance vs. time graphs, but had the students make decisions about what units the time and distance were measured in and what they were measuring distance from. (In the future I might alternate between determining those measurement details myself and asking the kids to do it.) I almost always had to remind students to include observations about speed. (Relatively slow or fast? Constant? Getting faster or slower?)
On tests I included the extending challenge of providing a story and asking students to sketch the matching graph.
During the end of year review, the student who chose this section (Interpreting Graphs) for which to plan his own review activity took the opportunity to bring us all outside. He had prepared 5 graphs using different function types and distributed copies of those graphs to the two teams. On the basketball court the teams took turns acting out a graph’s story while the other team figured out which graph it was.
An extension that I’ve considered but not tried is taking the graph’s action from a book or film students are studying in another class.