Evaluation (Rubric)

The team will be graded on the Team's, as a whole, performance to the lab's deliverables as stated in the Rubric.

Process

Group Process for this Lab:

1. Each team will divide into their home table groups.
2. Each team decides which team members are assigned to which roles (see Team Roles) for this activity.
3. The Team Leader enters each team member's name next to their team role on the team's blog page.
4. The Team Leader teaches the Math Students the Pythagorean Theroem based on the lesson defined as Pythagorean Theorem Lesson via Skype.
5. Sir Cadillac's path to his treasure has six stages of his journey (six days).  The team defines what current city landmarks, using Google Maps, are going to be the 6 waypoints of Sir Cadillac's journey.
6. The Map Maker draws the six waypoints defined in step 3 onto a current map of the city using Google Maps and Google Sketch.  He connects the waypoints with Position Vectors by drawing arrows between the waypoints.
7. The Mathematician converts the Map Maker's waypoints into coordinates.  The Mathematician calculates each stage's distance traveled and the total distance of the path the Team has defined.
8. The Translator converts the path's Position Vector magnitudes and directions into Cartesian directions. These directions are entered into a log document (Google Spreadsheet in Team Folder).
9. The directions of Sir Cadillac's paths are to be posted on your Team page on the lab's Physics Member Blog Site.
10. The Team Leader communicates with the Math Team regarding answering their questions via their posts on the Math Member Blog Site.
11. The Team evaluates your Math team member's map to determine if they got the map correct.

Tasks

You are playing the role of the history scholars who have discovered the directions to Sir Cadillac's treasure.  In this role you will be providing the archeologists (the Math Students) with:

• A map of Sir Cadillac's path on a map of a current map of the city; that you create.
• Provide document with the directions of each stage of Sir Cadillac's path, of which the archeologists need will use to find the treasure.
• Communicate with the archeologists to answer their questions and give them feedback on whether they are following the right path and traveling the right distance.
• Be mentors to the archeologists in their learning of the Pythagorean Theorem which they will need to know in order to find the treasure based on your directions.
• Check that the map that the archeologists create based on your directions correctly matches your map of Sir Cadillac's path to his treasure.

Team Jobs

The class is divided into their home table teams (4 – 5 individuals depending on class overall size) and the team member roles are as follows:

The History Scholars

Map maker:  Defines Sir Cadillac's journey stages by identifying what important city landmarks will be used as waypoints. Identifys the location of Sir Cadillac's treasure, which is at the end of the journey's path. Creates a mapping of Sir Cadillac's path on a Google Map of the city using Google Sketch Up.

Mathematician:  Calculates the waypoint location coordinates and position vectors of each stage of Sir Cadillac's journey. Calculates the stages' and total distance traveled by Sir Cadillac during his journey.  Calculates the treauser's location relative to the math students' school location.

Translator:  Translates Sir Cadillac’s path of waypoint coordinates into into a log of directions that the archeologists (Math Students) must follow in order to find the waypoints and, ultimately, the treasure location.

Team Leader:  Provides instruction of the Pyhtagorean Theorem to the math students and is the communicator with the math students during their solving of the Scavanger Hunt.

History of Sir Cadillac and Detroit

Antoine Laumet de La Mothe, sieur de Cadillac (1658–1730) was a French explorer and adventurer in New France, now an area of North America stretching from Eastern Canada in the north to Louisiana in the south.  Rising from a modest beginning in Acadia in 1683 as an explorer, trapper, and a trader of alcohol and furs, he achieved various positions of political importance in the colony.   In 1701, he founded Fort Pontchartrain du Détroit, the beginnings of modern Detroit, which he commanded until 1710. Between 1710 and 1716 he was the governor of Louisiana, although he did not arrive in that territory until 1713.

During his last visit to the land that is now the city of Detroit, he buried some treasure that he collected during his journeys around the area.  You as history scholars have just discovered the path to the treasure and need to provide directions to your fellow archeologists (the Math Students) so they can claim the treasure for the local museum.