X,Y Coordinates: Location Planning

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X,Y Coordinates: Location Planning Module Developed in 007 by Lisa Gausman, Allison Medley, Kelly Silvers of McKenzie Career Center and Dr. Leslie Gardner, University of Indianapolis Revised 08 Indiana X, Y Coordinates: Location Planning Module

Table of Contents Module Overview Lesson o Handout, Worksheet o Handout, Assessment Appendix o Slides Indiana X, Y Coordinates: Location Planning Module

Module Summary Overview of Module In this module students will determine the best location for a distribution center using the Cartesian plane and various maps. This module works best for students in grades 9-. Primary Career Cluster Transportation, Distribution and Logistics-- Logistics Planning and Management Pathway Recommended Subject Areas: Algebra I/Algebra II Cluster Knowledge and Skills and Performance Elements Academic Foundations ESS0.0.06 Construct charts/tables/graphs from functions and data. ESS0.04.0 Apply scientific methods in qualitative and quantitative analysis, data gathering, direct and indirect observation, predictions and problem identification. Problem-Solving and Critical Thinking ESS0.0.05 Evaluate ideas, proposals and solutions to problems. ESS0.04.0 Gather technical information and data using a variety of resources. Leadership and Teamwork ESS07.0.0 Work with others to achieve objectives in a timely manner. Next Generation Science Standards HS-PS4.C: Information Technologies and Instrumentation HS-ESS-4. Evaluate or refine a technological solution that reduces impacts of human activities on natural systems. HS-ETS-. Evaluate a solution to a complex real-world problem based on prioritized criteria and trade-offs that account for a range of constraints, including cost, safety, reliability, and aesthetics, as well as possible social, cultural, and environmental impacts. Common Core Standards Mathematics A-REI 0 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Indiana X, Y Coordinates: Location Planning Module

F-IF 5 Relate the domain of a function to its graph and where applicable to the quantitative relationship it describes. Materials: Indiana Map U.S. Map Calculator Job Connection: Duke Realty www.dukerealty.com Development - Associates in Duke s Development Group are responsible for completing due diligence activities to ensure that each project is developed to its full potential and for managing schedules and controlling site-related costs pertaining to land positions. Though each project is unique, the pre-construction items typically addressed by the Development Group include land acquisition, physical characteristics of the property, zoning, planning, engineering, and permitting. http://www.dukerealty.com/company/careers/department.aspx#le Vocabulary: Distribution Center: A warehouse or other specialized building which is stocked with products to be re-distributed to retailers, wholesalers, or consumers Cartesian plane: Another name for the rectangular coordinate system. The plane contains the intersection of the x and y axis. Indiana X, Y Coordinates: Location Planning Module 4 4

Lesson Plan: X, Y Coordinates: Location Planning Introduction: Visit Duke Realty Website o What does the company do? o What type of careers are can you have at Duke Realty? o Why is this type of business important? Use the slides in the Appendix to discuss the following content. How would you decide where to locate a distribution center if you knew the number of truckloads per week going to each retail store in the state of Indiana? Take a look at this example: 9 8 7 6 54 City Loads X Y Indianapolis 50 Gary 40 Fort Wayne 45 Evansville 5 Louisville 0-0 4 5 6 7 8 Use the Coordinate system to determine which coordinate is best location for the distribution center City Loads X Y Indianapolis 50 4. 6. Gary 40.6.8 Fort Wayne 45 6.7 0. Evansville 5.0.0 Louisville 0 5.4.8 sum 90 4.(50).6(40) 6.7(45).0(5) 5.4(0) x 90 Indiana X, Y Coordinates: Location Planning Module 5 5

6.(50).8(40) 0.(45).0(5).8(0) y 90 x=4.0 y=6.9 What city is the closest to the point (4.0, 6.9) on the graph? Distribute Handout, Location Planning Worksheet and have students complete in class or as homework. Go over answers of Handout which can be found in slides 9-0 in the Appendix. ASSESSMENT: Have students work in groups to complete two additional examples. One example will be in the state of Indiana; the other will be using the whole United States. Distribute Handout, Assessment, for information about this problem. Indiana X, Y Coordinates: Location Planning Module 6 6

Handout, Worksheet X, Y Coordinates Module Location Planning Worksheet 9 8 7 City Loads X Y Indianapolis 0 Gary 7 Fort Wayne 8 Evansville Louisville Lafayette Terre Haute Richmond 6 5 4-0 4 5 6 7 8. Indiana X, Y Coordinates: Location Planning Module 7 7

Handout X,Y Coordinates Module City Loads X Y Indianapolis 50 Springfield 0 Los Angeles 85 Denver 75 Atlanta 50 Las Vegas 5 Chicago 95 Dallas 60 Columbus 50 Indiana X, Y Coordinates: Location Planning Module 8 8

Handout, Assessment X, Y, Coordinates Module Find the best location for a Distribution center. Please give the coordinate and the nearest city. 9 8 7 City Loads X Y Indianapolis 5 Gary 50 Fort Wayne 5 Evansville 4 Louisville 5 6 5 4-0 4 5 6 7 8 Indiana X, Y Coordinates: Location Planning Module 9 9

City Loads X Y Indianapolis 50 Springfield 0 Los Angeles 85 Denver 75 Atlanta 50 Las Vegas 5 Chicago 95 Dallas 60 Columbus 50 Indiana X, Y Coordinates: Location Planning Module 0 0

A P P E N D I X Indiana X, Y Coordinates: Location Planning Module

Location Planning Indiana Location Planning Slides

How would you decide where to locate a distribution center if you knew the number of truckloads per week going to each retail store in the state of Indiana? Indiana Location Planning Slides

0 9 8 7 6 5 4-0 4 5 6 7 8 Indiana Location Planning Slides

City Indianapolis 50 Gary 40 Fort Wayne 45 Evansville 5 Louisville 0 Loads X Y Indiana Location Planning Slides 4

0 9 8 7 6 Gary Fort Wayne Indianapolis City Indianapolis 50 Gary 40 Fort Wayne 45 Evansville 5 Louisville 0 Loads X Y 5 4 Evansville Louisville - 0 4 5 6 7 8 Indiana Location Planning Slides 5

0 9 8 7 6 5 4 Gary Fort Wayne Indianapolis City ds Indianapoli 50 s Gary 40 Loa X Y 4. 6...6 8 0. 6.7 Fort 45 Wayne Evansville 5.0.0 Louisville 0 5.4.8 sum 90 Evansville Louisville - 0 4 5 6 7 8 Indiana Location Planning Slides 6

x 4.(50).6(40) 6.7(45).0(5) 90 5.4(0) y 6.(50).8(40) 0.(45).0(5).8(0) 90 x=4.0 y=6.9 Indiana Location Planning Slides 7

0 9 8 7 6 5 4-0 4 5 6 7 8 Indiana Location Planning Slides 8

City Loads Indianapolis 0 Gary 7 Fort Wayne 8 Evansville Louisville Lafayette Terre Haute Richmond X Y Indiana Location Planning Slides 9

0 9 Lafayette 8 6 7 5 4 Gary Terre Haute Indianapolis Fort Wayne Richmond City Loads Indianapolis 0 Gary 7 Fort Wayne 8 Evansville Louisville Lafayette Terre Haute Richmond X Y Evansville Louisville - 0 4 5 6 7 8 Indiana Location Planning Slides 0

0 9 Lafayette 8 7 6 5 4 Gary Terre Haute Indianapolis Fort Wayne Richmond City Loads X Y Indianapolis 0 4. 6. Gary 7.6.8 Fort Wayne 8 6.7 0. Evansville.0.0 Louisville 5.4.8 Lafayette.8 8. Terre Haute. 5.4 Richmond 7. 6.5 Evansville Louisville - 0 4 5 6 7 8 Indiana Location Planning Slides

x 4.(0).6(7) 6.7(8).0() 5.4().8().() 7.() y 6.(0).8(7) 0.(8).0().8() 8.() 5.4() 6.5() x=4. y=7.7 Indiana Location Planning Slides