We recommend spending time with the whole class sharing and refining narratives. However, they may focus on an additive patterns when you would like them to state a relationship between time and distance. Work on having them verbalize a general relationship between time and distance by asking them to predict distance for a given time. The next activity enables students to connect multiple representations. Students should work in groups.
Rich discussions can occur in the context of convincing fellow students.
If the class has not yet discussed speed, this should be done before beginning this sequence. Discussions to this point have probably focused on comparisons between two characters. It can be much harder to talk about one character's speed when there is no comparison. Transition to graphing velocity by focusing on issues of constant speed and duration of travel. Extending to rates outside the context of motion will require additional attention.