4.+Teaching+Taxicab+Geometry

**Teaching Strategies For Taxicab Geometry** **Real Life Application:**
 * Use visual examples of real life situations to introduce why taxicab geometry is important and useful such as a NYC street map or similar.

**4 Phase Lesson Plan**: 1. Introduction/Problem Posing
 * Show students an example of a starting place and ending destination with the objective of finding the shortest possible distance that you can travel in a car. (Eliminates the idea of Pythagorean Theorem because of obstructions)

2. Small Group Investigation
 * Students are given a street map and faced with working in groups to determine the shortest distance that can be driven.

3. Whole Class Discussion
 * Have students discuss the shortest distance that can be traveled and how they determined that route was the shortest. Have students debate more than one way to figure this out.

 4. Closure and Extension
 * Have the students summarize main ideas of taxicab geometry and the way to determine the distance.
 * Provide students with homework problems that are more challenging to determine which distances are the farthest possibly by using routes they are familiar with such as places in their city.

**Whole Class Investigation**:
 * If you’re classroom is a brick and mortar classroom, have your students to use the grooves in the bricks as a track that they must stay on.
 * Have them to determine the shortest taxicab geometry distance from one marked point to another and compare it with the shortest Euclidean geometry distance.