Clip 12/15: Modeling with Polynomials Lesson - Part 2E

Amy Burke closes her lesson with her 11th- and 12th-grade students, appreciating their engagement in conversation around the graphical representation of their data set — and the models that they have put into Desmos.  

She comments that she had more things for them to discuss, but uses the remaining minutes in class for the whole class to talk together. Amy synthesizes the group task creating their own data set, noting that one group had corrected their own work previously, but that there may still have been some errors in the data they were using. She praises how the students used the model in Desmos to determine the maximum volume. She asks the student with whom she’d connected previously to share. The student asks, “What is our x intercept?” and whether they can use the model to answer the question, or only the data gathered as a class; Amy invites other students to consider this question. Another group observes that the volume was wrong in one of the model data lines, and when they corrected the data, the cubic function fit the data much better.