The Solids of Revolution Project
During this project, we used Calculus functions called integrals or anti-derivatives to find the volume of bottles. There were three main tasks for this project. The first task was to model the curves of two bottles with parent functions and then to find the volume of the bottles based off of those equations. This task was completed in groups and was the most time consuming of the three tasks. The second task was to design our own bottle, which must have a volume of between 500 and 600 milliliters. The final task was to redesign a specific bottle to make it more appealing to the consumer without losing more than 50 ml in volume. Then, we had to create a visual modeling the bottle we created in task three.
Roller Coaster Project
The only full-sized project we have completed in Calculus is the Roller Coaster Project in which we had to create a roller coaster using our knowledge of derivatives. The first step in this project was to create a roller coaster on paper by creating a minimum of five equations from four different parent functions that compile to a continuous and differentiable roller coaster. The second step in this project was to physically create the roller coaster out of popsicle sticks and hot glue. This project helped me gain a better understanding of derivatives and applications of derivatives.