Fill My Cup!

Students informally explore the relationship between a graph and its derivative by exploring how the level of water changes in several different containers. (Note: Intended for a beginning calculus audience, but no formal calculus language is used.) Inspired by: (1) Graphing stories: https://teacher.desmos.com/activitybuilder/custom/58797d35d81a612605304b1f (2) And this Geogebra graph: https://www.geogebra.org/m/WgyRDgCu

By Patrick Aquino