Does+Location+Matter?

 Does Location Matter? //A Study of Transformational Geometry: Project Based Learning  // By Patricia Jackson-McCollough = = Math Coach @ The High School Of Computers and Technology toc


 * **Essential Question**
 * Does Location Matter?


 * Unit Questions**
 * How do you determine the type of transformation that has occurred?
 * Does a transformation change an object’s position and/or size?


 * Content Questions**
 * What is a transformation?
 * How do we create transformations involving reflections?
 * How do we define and create geometric transformation?
 * How do we find an image of a transformation using the rules of composites?
 * What is isometry?

= = || //"The quest for knowledge is a journey that always//   //begins with a question: "Does Location Matter?"// Since the beginning of time the inquisitive nature of human beings has lead them to explore uncharted territories. From the Nomads, the homeless of their time, to Christopher Columbus in search of Asia, to Ponce Deleon in search of the Fountain of Youth, to Neal Armstrong's walk on the moon, "//Taking One Step for Man Kind"//, location has mattered. Todays, GPS system has revolutionized the way we get from point A to point B by providing us with a solution at a touch of a button and simultaneously answering the question: "//Does Location Matter?".//

In Mathematics, points and/or objects move in a plane according to some rule. A //Transformation// is a GPS that moves points and/or objects in a plane according to some rule producing an image of those points and/ or objects in a 1:1 correspondence. //A Transformation//, is it a just a movement of points or Does Location Matter?

Reflections, translations, dilations, and rotations are the transformations that students will study in this PBL unit. Students will work collaboratively with their teacher to demonstrate what they learned through a cumulation of projects and formative assessments. In each lesson students will address the question, "Does Location Matter?" media type="custom" key="701193" || = = “Each One Teach One”  Students and teachers making connections through collaboration ||
 * //A special note of "Thanks" goes out to the Long Island City Office of Instructional Technology for providing me with the opportunities and having the patience to help me develop my technology skills. My instruction has evolved from teaching with chalk to the use and integration of web-based learning activities using SmartBoard technology. I will always remember and be grateful for the training that I received from this office.//

= Transformations =