**Lesson Name: **Taxi-cab Metric B - Circle

**Class: Geometry**

**Grades: **7-8

**Resources:** Regular_city_2.gsp. Note: in order to view and use this file you need to have a Geometry Sketchpad installed in your computer.

**Note:** This is the second part of the lesson Taxi-cab Metric and you need to do this only after introducing the taxi-cab metrict.

**Outline: **Create a circle using the taxi-cab metric.

Begin with a discussion of definitions. What makes a circle a circle? What makes other geometric figures, those geometric figures. If the students are too attached to the visualizations of the figures they are working with they will have more trouble accepting a taxi-cab circle as an actual circle. (This may take a lesson in itself.)

Step 1: (~10 min) How are you going to approach the problem? Discuss different methods for figuring out how to graph the circle.

Step 2: (~15-20 min) Implement what you discussed in step 1.

**Goals: **Seeing the importance of definitions over visualizations.** **

**Implementation:** Draw various figures both geometric and otherwise and ask the students what shapes they are and why.

For graphing the circle discuss how to make a t-chart of points to get a general idea of what the circle looks like.