## Modeling using Photos

Sep30

I had a great 3M class a couple of days ago. We were looking at the idea of modeling data using a quadratic function. It was a follow up to a Domain and Range activity, so that fit well with this exercise.

I took a photo of one of the students on my iPhone, emailed it to myself and dropped the image into a TNS file which I sent out over Navigator to all of the student handhelds.

The students task was to model the student’s head using a quadratic function. After that was complete, I had them identify the domain and range of the function that made sense for the model.

While the photo chosen wasn’t a bridge or other engineering project which is typical for this type of activity, the students were surely engaged. I used the Class Capture feature to track the progress of the students as they manipulated the Vertex Form of the Parabola to match the image. I was able to provide suggestions to anonymous students about the transformations necessary to adjust their model to fit the data.

The follow up activity involved students spending 10-15 minutes looking around the school for parabolic shapes, taking a photo on their cell phone, iPod, or a school laptop. They then emailed the photo to me when they got back to class. I quickly assembled another TNS file to send out for extra practice (homework). For students without a calculator, their homework was to find a magazine or newspaper article to model the data with by hand.