In this clip the students are unsure whether the length and width of the box co-vary so she has them discuss other the relationships between quantites to help them.
In this clip the teacher leads a discussion about whether or not there are two boxes that can have the same volume.
Box Problem Summary, Clip 7, 1:32
This clip illustrates another possible question a teacher can ask while summarizing the box problem. The students appear to have a pretty good understanding in this case and the teacher uses the graph to illustrate what they are talking about.
The students actually suggest that there is only one size cutout for the maximum volume, but if this does not come from the students it may be necessary for the teacher to help this emerge.
