Linear Village

Ian Callon, Jun 25, 2014

Intro to Taxicab Geometry and absolute value equations using number lines - leads students through placing a firehouse in an optimal location (by minimizing the total distance a firetruck will have to drive to all houses, and by minimizing the maximum distance a firetruck will have to drive to any one house). Link to Accompanying Worksheets: https://docs.google.com/a/miamioh.edu/document/d/1T3jqRUaTKnOKGBq2ipv0IknCRi5IODICwrgE_Ii2Jj8/edit

Table of Contents

  1. Linear Village Intro
    1. Linear Village 1
    2. Linear Village 2
    3. Linear Village 3
  2. Extending the Village
    1. L-Shaped Village
  3. Gridville
    1. Gridville 1

1.

Linear Village Intro

  • 1. Linear Village 1
  • 2. Linear Village 2
  • 3. Linear Village 3

1.1.

Linear Village 1

A firehouse should be relatively centrally located to all the houses (the blue points on the line) Place the firehouse, using the two criteria below. Each criterion will have its own best location.
– Ian Callon

1.2.

–

1.3.

–

2.

Extending the Village

  • 1. L-Shaped Village

2.1.

L-Shaped Village

Drag the firehouse to explore the best locations possible.
– Ian Callon

3.

Gridville

  • 1. Gridville 1

3.1.

Gridville 1

Drag the red cross (the firehouse) so that it is an the best location possible. Be prepared to defend your answer in words and with mathematics.
Gridville 1
– Ian Callon

Information