{{page>wiki:headers:hheader}} ====== East is not East ====== ===== Prompt ===== ** "Suppose you face East and travel in a straight line. \\\\ Where do you wind up?" ** ===== Context ===== //Estimated Time: 10 minutes, including wrap-up// This [[strategy:smallwhiteboard:|SWBQ]] provides a graphical demonstration that lines of latitude are not straight, since they are not great circles. ===== Student Conversations ===== * Students want "a straight line" to mean "continues to travel east" or "follow a line of latitude". * Students discussed whether is it the centrifugal or Coriolis force that causes a deviation from "east (along a line of latitude)". * Some students will know about spherical geometries from math courses and will introduce into their discussions concepts of great circle, antipodal point, and geodesic. ===== Wrap Up ===== //A globe or other large ball and a piece of string are useful props.// * Ask several students to present/defend their responses. * Have a volunteer come up and indicate two points on a globe which lie due East/West of each other. * Ask the volunteer to stretch a string between the two indicated points. * Ask whether the string can be pulled any tighter. * Discuss straight lines on spheres (great circles). * Point out that great circles go through antipodal points. * Conclude by indicating the great circle through the initial point, which initially points East. {{rfsweast.ppt|Powerpoint slide}} \\\\ {{rfsweast.pdf|PDF slide}} {{page>wiki:footers:courses:rffooter}} {{page>wiki:footers:topics:cmfooter}}