Math Department Celebrates Pi Day

The Math department celebrated Pi Day on 3/14 (you may remember that pi, an irrational number, is commonly rounded to 3.14).  We started our day together in a Math Department meeting where Mary Beth shared this beautiful Pi-related prayer:

The beauty of pi, in part, is that it puts infinity within reach. Even young children get this. The digits of pi never end and never show a pattern. They go on forever, seemingly at random—except that they can’t possibly be random, because they embody the order inherent in a perfect circle. This tension between order and randomness is one of the most tantalizing aspects of pi.


We then departed and had many varied adventures with our students to celebrate pi.  Here are some highlights:

  • Amanda’s Geometry class was visited by Anne-Marie and four of her AP Calculus students.  These advanced students had recently used Calculus to find the volume of coca cola in a classic bottle.  The Geometry students were able to do the same task by using their knowledge of the volume of a cylinder (pi*r^2*height) to come up with a coarse estimate for the coca cola volume.  The Calculus students served as coaches throughout this project and at the end introduced the younger students to the idea of curve-fitting, area under a curve, and volumes of revolution to get a more sophisticated estimate.  It was a great activity to celebrate the many applications of pi in a collaborative way.  Both young and older students admitted they learned something new from each other.

  • Cathy’s Geometry classes derived pi empirically, by measuring the circumference and radius of various circles in the classroom and inner court and working backward using the circumference formula to derive pi.  Look how close they got!
  • Mary Beth not only treated the Faculty and Staff to many delicious pies, but she also encouraged the students to participate in a pi-tastic scavenger hunt.  See the tasks here.  
Until next year…

Yes! This is the way it should be done.

Chapter 1 of Geometry has so many new terms and symbols. Students can do the algebra needed to find a value, but are not familiar enough with the geometry notation to express their work clearly. I emphasize that they have a reader for their work. (They realize this for other classes, but often not for math.) For now, I am the reader and perhaps a classmate they are trying to help, but later on it will be their client or a colleague in their research lab. When grading some of the first assignments, I noticed student work which was done as I had shown. I thought of my father-in-law who would exclaim, “That’s the way it should be done!” So I wrote Yes! and took an iPad photo of the problem. I did this in honors and regular classes. I showed these photos in class the next day. (I did not use names or use the same student’s work twice.) I said it was possible to earn full credit without the yes, but I knew they would want to see what was special about these solutions. I did this a few times and on the first quiz and test many more students than in the past used the approximately sign for a rounded number and identified the length by EF (for example) rather then just having the answer “floating”. More students also remembered units. (Note: I did take .25 point for no units, but not for the other notations.)