Solids of Revolution Project

This just in from Mrs. McCullagh:

For the last few days in Calculus, with help from Mr. Roe in the Art Department, my classes built models as part of a project exploring solids of revolution. Partners were assigned an equation, asked to sketch and graph that equation and then find the volume of the solid that would be created by revolving that graph around the x-axis. They needed to sketch and estimate the volume if filled with only four cylinders, then find the estimated volume if filled with eight cylinders using a computer generated model. Using Calculus they were able to find the actual volume and compare it with their estimates. Next they needed to create a three dimensional model of their solid using wire and foam core. On the last day of classes they presented their project to their classmates. The projects were on display in the Reed Center in time for graduation for their families to see.

US Mathematics Students of the Trimester – Spring 2016

I am excited to announce a new award, the Upper School Mathematics Students of the Trimester!

Each math faculty member was free to choose whichever student of theirs they thought best exemplified what they are looking for in a model mathematics student. The official description of the award is as follows:

“Awarded to students who exemplify the math department’s core values of competence, confidence, and perseverance while helping their peers realize the relevance and importance of an exceptional mathematical education both for its beauty and for its practical application.”

The following students have been recognized as the Upper School Mathematics Students of the Trimester for Spring 2016.

Please join me in congratulating these outstanding mathematics students!

Past students of the trimester can be found right here: Fall 2013, Winter 2014, Spring 2014, Fall 2014, Winter 2015, Spring 2015, Fall 2015, Winter 2016

The Star Project Continues

After my BC Calculus students rocked the 2016 AP exam (check out their custom answer keys!), we started working on the Star Project.

The learned how to fold a 60-piece star, and then I asked them two straight-forward questions:

What’s the surface area of the star in terms of the side length of one of the pieces of paper?

What’s the volume of the star in terms of the side length of one of the piece of paper?

Here are some of their video solutions. The complete playlist of videos is online here.

Surface Area

Volume

2016 AP Calculus BC Free Response Questions & Answers!

A few days after each AP Calculus BC exam, the College Board releases the free response questions from the exam. They don’t release their very succinct answer keys for a few more weeks… so… I had my students make their own answer keys as well as screen recordings of their solutions!

All released free response questions and answer keys are online right here.

Here’s the direct link to the 2016 AP Calculus BC free response questions.

Here are the answer keys and videos that my students created:

Many more Williston student screencasts can be found online right here.

9/6/16 Update: The official CollegeBoard scoring guidelines are now online.