All Expenses Paid

All Expenses Paid

/ Down Under in D.C.
Free Trip / Name:______
  1. You are the Grand Prize Winner!

You have won an all-expense paid trip to Washington D.C. As part of your prize package, you will have a personal tour guide while traveling around the city. Your tour guide will help you navigate the city, but there will be times when you are on your own.

Compare the subway map to the Google Map. Can you tell if it is drawn to scale? How could you check?

  1. You are the TOUR GUIDE!

You have been assigned the job of Tour Guide for the Grand Prize Winner, who will visit the Federal Triangle, Gallery Place-Chinatown and Mount Vernon Square.

Identify the following subway stops on the map for the Grand Prize Winner

  • Federal Triangle
  • Gallery Place Chinatown
  • Mount Vernon Square

What would you need to know in order to give approximate travel distances and times?

/ Down Under in D.C.
Analyzing the Subway Map / Name:______

Have the Tour Guide draw a triangle on the D.C. map using the following locations as vertices:

  • Mount Vernon Square at M ST. NW
  • Gallery Place Chinatown at 8th ST. NW
  • Federal Triangle at 12th ST. NW

Measure the segment lengths and record them in the table below. Round your measurements to the nearest tenth of a centimeter.

Locations / Distance (miles) / Length on
Subway Map (cm) / Map Scale(mi/cm)
Gallery Place-Chinatown to
Mt. Vernon Square / .51 miles
Mount Vernon Square to Federal Triangle / .88 miles
Federal Triangle to
Gallery Place-Chinatown / .47 miles
  1. Is this portion of the subway map drawn to scale? Explain your reasoning.
  1. Using tracing paper, trace the triangle created by connecting these three Metro stops on the subway map.Describe what could be done to adjust this section of the subway map so that it would be drawn to scale?

Construct this section of the subway map so that it is drawn to scale.

  1. Below are measurements taken from a differentsubway map of Washington, D.C. Using the measurements given below and the Google Map you used earlier, determine if this new subway map appears to be drawn to scale. Explain your reasoning.

Locations / Length on
Subway Map (cm) / Ratio
Gallery Place-Chinatown to
Mt. Vernon Square / 1.4 cm
Mount Vernon Square to Federal Triangle / 2.3 cm
Federal Triangle to
Gallery Place-Chinatown / 1.3 cm
  1. Use the scale on the Google Map of Washington D. C. to determine about how far it is between each of the following Metro stops (assuming you walk in a straight line).

Locations / Length on
Google Map (cm)
Federal Triangle to
Archives
Archives to
Mt. Vernon Square
  1. Do you think a subway map should be drawn to scale? Why or Why not?