|This is a Choreo Graph screenshot of the treasure map activity, students will use their knowledge of linear equations and graphs to locate coordinates for the lost gold.|
|Treasure maps are known to keep the location of the actual treasure hidden in plain sight. A lack of specific details allows the creator of the map to be the only one in the know.
But what if the creator of the map left behind a few mathematical notes that could be decoded by those who understand linear algebra?
A set of iPads with the Choreo Graph app
Depending on how much time you want to spend on this project, anywhere from 1 class period (if students are already familiar with Choreo Graph) to 3 class periods.
These lessons are designed for students to work individually, in pairs, or in groups. Each student should do all the work on their own sheets, and the iPad should be shared across group members as equally as possible.
We suggest that groups be no larger than four students. Four or more students in a group will require extra attention to make sure that every group member is contributing equally.
You have been hired as a private detective to find treasure that was stolen from an art museum. The museum found the following note with coordinates, but they have no idea what it all means.
|1||(-31, 11)||(-28, -5)|
|2||(-28, 16)||(-28, -1)|
|3||(-18, 12)||(-21, -2)|
|4||(-17, 17)||(-22, 2)|
|5||(-12, 7)||(-16, -3)|
|6||(-23, 4)||(-21, -8)|
|7||(-21, 8)||(-21, -4)|
|8||(-31, 11)||(-28 -5)|
|9||(-29, 14)||(-28, -2)|
|10||(-12, 7)||(-16, -3)|
|11||(-12, 7)||(-16, -3)|
|12||(-12, 7)||(-16, -3)|
|13||(-12, 7)||(-16, -3)|
|Pictured here are the images used to create the sample treasure map. Students are invited to find or draw their own, or, you can provide images for them.|
|Sample Choreo Graph screenshot showing the map and traced items, ready to start animating.|
|Screenshot shows the map with all the coordinates plugged in. Arrows point toward an intersection point that the students need to find.|
|Algebra solution to find the treasure. First find slopes, y-intercepts, and the equations of the two lines for the car and plane. Then solve the system of equations to find the intersection point.|
|If students find the intersection point using Choreo Graph, they will still be prompted to find the equations of the lines, and then the solution to the system. That solution is also provided in this document.|
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