Then lay the transparencies on top of each other on the overhead projector so that it is clear that all the graphs are identical. For some classes, it may be appropriate for each group to determine its own scale and compare the graphs. In this case, it may be more challenging for some students to see that all the graphs are actually identical. Students can investigate interchanging uneven numbers of frogs. The following table shows, in more detail, the number of moves needed for the first several situations of this type.
Students can come up with their own rule.