1. Rectangular Coordinate System

3. Represent data graphically

4. Relationship between 2 sets of data

5. You Try!

7. As demonstrated, we also know the length of two sides.

8. How can we find the length of the hypotenuse of the triangle?

10. Real-Life Application You are training for a marathon (26.2 miles). So far you are up to 15 miles. You are planning on running 20 miles on Saturday. You start your run by heading north approximately 6 miles. You turn east and jog for another 6 miles. You then turn and head southwest to take the most direct route back home. Plot your route on the Cartesian plane in Quadrant I. Your home is located at the point (1,1). Did you meet your 20 mile goal? How far have you traveled at the midpoint of the last leg of your run?

11. Explore - Translation What happens to the x –coordinates when you shift your whole triangle to the right (east) 6 units? Does the y-coordinate change? What coordinate changes when you shift your triangle up or down? Imagine your own future business endeavor or creative project, use translation to design a cover page for your portfolio or website (Sample below). All Aspects Auto

12. References Images Rectangular Coordinate: Retrieved from… http://etc.usf.edu/clipart/49300/49310/49310_graph_blank.htm Cartesian Plane: Retrieved from… http://math.about.com/od/geometry/ss/cartesian_3.htm Scatter Plot: Retrieved from… http://www.mathsisfun.com/definitions/scatter-plot.html Distance Formula: Retrieved from … http://www.freemathhelp.com/distance-formula.html Midpoint Formula: Retrieved from… http://www.onemathematicalcat.org/algebra_book/online_problems/midpoint_formula.htm & http://geometry.jdeer.com/L1_8.htm & http://mathandmultimedia.com/2010/01/ Application: Retrieved from… http://www.artbywicks.com/poetry%20page%204.htm Text Larson, R. & Hostetler, R. (2007). Precalculus,(7th Edition). Belmont, CA: Brooks/Cole.