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Traffic Jam Model
2
Traffic Jam
Model
Luke Dyrhaug
Hour 5
Introduction
A 3 vs. 3 game board has 7 spots. The three spots on the left are filled with 3 yellow pieces and the three spots on the right are filled with 3 green pieces.
The rules for the game:
1. The pieces may move to any open space in front of them.
2. The pieces can jump over exactly one piece of another color if there is an open space.
3. The yellow pieces that start on the left may only move right and the green pieces starting on the
right may only move left.
4. If you get stuck (i.e. traffic jam), you lose and will have to start over.
The GOAL of the game is to move the pieces on the left to the spaces occupied by the pieces on the right and
vice versa.
The Steps
The Game
Click Through Slides
All boards should start like this
Remember, you can't go backwards can only jump one spot at a time
Steps
Steps
Step Routine
Total number of moves: 15
The key is when you jumping your pieces, do not get the same color next to each other
Write down your moves!!!!!
How is This Correct?
It is correct because...
We didn't hop more than 1 bear
Is it Right?
We didn''t move backwards
All bears started correctly
All bears ended correctly
(We also rewatched our video of us doing it and saw no mistakes)
Our Equation
Y = 0X^2 + 0.0857X + 2.2
L1: 1,2,3,4,5,6
L2: 2,3,2,3,2,3
Equation
Working Through the Model
Model
Click Through Slides on the Right
Simplify
Y is the
X is the total number of
We can make an assumption that it will take at least 6 steps to get it correct. Because each piece has to moved at least once for sure.
Simplify
Represent
Y = 0X^2 +0.0857X + 2.2
Represent
Solve
For this portion of the model, it's pretty simple when trying to figure how to complete the task. When trying to figure out how to solve. You have to make sure when moving your pieces, that you don't get two of the same color in a row. Another, but very tedious, way of doing this is trial and error. This might make the process really long, which is one of the main problems,but it will work along the way.
Solve
Interpret
Strengths:
Not much thinking
Can really dive into things
Allows brain to get to work
Weaknesses:
Can take a long time
Might have many errors
Interpret
Extend
While keeping it simple, yet engaging, we are going to have our extend be the same set up, but with FOUR yellow bears on the left side and THREE green on the right.
While doing this, I found a total of 6 jumps and 4 slides from yellow, and 6 jumps and 3 slides from green.
6 + 4 + 6 + 3 = 19 Total Moves
Extend
Conclusion
After looking through everything in the model, we were able to see how to complete the traffic jam, along with two different ways and/or stragdegies used as well. While the method used might be a little unorthodox, it still is an successfull way that helped get the same outcome as everyone else who completed it.