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Introduction

These four activities are designed to help you understand quadratic equations, both in the context of its application to kinematics and physics and also in its general, mathematical sense. Sometimes the knowlege we already have goes a lot deeper than we realize, so these activities are designed to work from the knowledge you already have of the world around you to first, understand how different features affect a kinematic equation and second, to generalize that knowledge you already have to understand general quadratic equations. The "Kinematics and Modeling Motion" section will get you thinking about kinematics and bring out what you already know. Next, the "Graphing Quadratic Equations" section will take what you already know, as well as what you pick up from the first section, and generalize that knowlegde to understand more about graphing quadratic equations. After that you can try your hand at the Pipe Flow Mario game. And finally, the quiz will test what you've picked up from the module and, with a few challenge questions, push you a step further. Good luck and Enjoy!

About the HHMI-FT Internship

This module was created as part of my experience in the HHMI-FT Internship Summer 2012. Through this internship, I was able to work on research projects in the UNC Applied Math Fluids Lab. I worked on the Trachea Project, headed by Jeff Olander and Reed Ogrosky, which was focused on gaining an understanding of air flow in the trachea. I also worked some on the Pipe Flow Project, headed by Tom Nelson. Under the guidance of Jeff Olander, Reed Ogrosky, and Tom Nelson, I was able to observe (and be a part of) their scientific process. The layout and ordering of this module is designed to be similar to their process. You will begin the module using the knowledge you already have and your intution to hypothesize and come up with answers to the questions posed in the first section. From there, you will be pushed to abstract that knowledge to understand the problem in a general sense. And finally, you will apply your knowledge to a real-world (or in this case Mario world) situation to see the application in action. If you are interested in learning more about the UNC Applied Math Fluids Lab click here.