Students often have difficulty understanding the relationship between axes in a graph and how the two variables interact. They tend to believe the graph will look like reality. To develop a more comprehensive understanding of the dynamic taking place in graphs, each of these apps challenge the student to explore how the information from each axis influences the graph. In Bicycle, the user takes a bike on a journey up and down a hill and sees different graphical representations of what is going on based on considering different variables. In Flask, the user draws a flask of any shape, watches it fill up with water, and sees how the graph is influenced by the shape of the flask.In Doodle Pad the user can draw an action and instantly watch two distinct graphs appear, demonstrating different representations of what is happening mathematically.
Common Core State Standards:
F-IF: Interpreting Functions
Three apps in one. Flask allows students to judge which graph represents the filling of different shape flasks over time. Bike has students develop and compare three graphs of a biker on different terrains. Doodle Pad helps students consider how x and y vary.
Analysis of Change