Introduction
We are going on a treasure hunt to solve pirate systems of inequalities and equations to find buried treasure. You will create your own pirate treasure map using equations and inequalities.
Task
You will create a map that includes 3 regions (defined by inequalities). Then, you will lead me to the treasure by marking the spot with an "x" (the solution to a system of equations). Be sure to provide directions for your map by naming your regions.
When done with the math, you will create a pirate story (a short paragraph) that incorporates your three inequality regions and your "x". The story should indicate who buried the treasure, why the treasure was buried and where it was... the story could also allude to what this mysterious treasure is!
After creating your story, use the math to create an actual artistic map represenation :0)
Process
Make sure you have the worksheet provided by Mrs. Albertson
Part One:
Create your pirate name. Don't forget to write your regular name AND your pirate name on your paper - I need both!
Part Two:
Create names for the 5 "regions" you intend to create with your systems of linear inequalities and systems of equations. These regions will be labeled by their name and systems on your map. Fill in the names on your worksheet.
(This is optional; however, it may help you with part three - if you need help creating an equation from a graph you drew - try these links:
Go to www.learnzillion.com and type to following codes in the search bar:
Point-Slope form of a line: 3UT724R
Finding the slope and y-intercept of a line from a graph: AP9MQ36)
Part Three:
Create boundaries for your treasure map.
1. Start by creating a boundary area where your pirate treasure will be hidden. How do you do this?
Create 3 inequalities; graph and shade all three on the same plane.... so its a system with 3 inequalities instead of our normal two!
Use these 3 inequalities to create a boundary region for your map. The solution to the system should house the location of your treasure.
Give each region (each individual inequality with its shading) a name that fits into a priate story.
After creating your three inequalities, provide me with directions to your treasure, such as:
1. Follow the "Old Normandy Sea" and wander into the region given by the graph y< 2/7x +5
2. Travel the current along the "Carribean Cove" and into the region of y> -3x-2
3. Your last clue is the treasure will be to the west of the Dragon's Meridian x<14
2. NEXT: Create an X to mark the spot on your map.
You will need to create 2 equations in y = mx+b form to represent each line of the X that marks the spot of your buried treasure. Each equation will need a pirate name and instructions:
Example:
The treasure lies where the Columbus Caverns (y = .75x-7) meet Davey Jones Passage ( y = -2/3 x +10)
Graph these to show solution THEN on a separate sheet of paper, solve the system with elimination and substitution to "check your work"
Part Three: Create a pirate story (short paragraph) that incorporates the names of the three inequalities as well as where "x" marks the spot. Make sure to include information in your study regarding who buried the treasure, why the treasure was buried, and perhaps allude to what the mysterious treasure is. Be creative! Make it interesting and fun!
Part Four: Using your graphed map, create an actual map, an artistic representation, of your map. Be creative, use color and make it look map like (with regions similar to those defined by your inequalities in your actual map.
Evaluation
This project is worth 60 points:
The point breakdown is as follows:
- Pirate Name (1 points)
- Regular Name (1 point)
- Pirate region and x line names (5 points)
- Accurate inequality and graph of Region one (5 points)
- Accurate inequality and graph of Region two (5 points)
- Accurate inequality and graph of Region three (5 points)
- Accurate solution of inequality system (5 points)
- Accurate equation and graph of equation one (5 points)
- Accurate equation and graph of equation two (5 points)
- Accurate solution of system of equations (location of buried treasure) (5 points)
- Accurately solved system of equations by elimination (5 points)
- Accurately solved system of equations by substitution ( 5 points)
- Pirate paragraph (3 points)
- Artistic representation of pirate map (5 points)
- Make your project creative by adding in extra pictures of your pirate crew (2 points). Be sure to name your crew!
Conclusion
When you have completed your project turn in the following to Mrs. Albertson:
1. Worksheet
2. Graph containing all 3 inequalities and 2 equations
3. Artistic representation of map
4. Pirate story
5. pictures of pirate crew (optional for extra points)
And now... you've created and successfully turned in your own pirate map!