Mathman 13 - Spassland Park Liz Hollmann, Steph Aisbet, Amy Felton, Corrine Meshke

 Terrain: Park-like Difficulty: Depends on math ability Placed by: The Dragon (Mathman) and his Honors Advanced Algebra students of 2004-05 Location: Germantown, WI County: Washington, WI Materials needed: Calculator, Writing Utensil, Rubber Stamp, Inking Pens

Students and parents of students should read my introduction to letterboxing before seeking the boxes.

These clues rely on the use of matrices to encode/decode clues.  Go to this page to learn how to do this on a free graphics calculator simulator or to do it by hand.

Clues

Drive to Spassland Park in Germantown WI. As you head to the entrance of the park, you'll find yourself in a school zone!  Slow down!  Look for the speed limit sign!  Record the speed _____ (S).

Park in the parking lot near the open air shelter. Begin by getting a drink at the concrete water fountain. Use the number on the speed limit sign as variable “S” in the following equation.

(1/3)S x 32 = D

4 + S = P

“D” is the degrees or bearing that you will use on your compass and “P” will be the number of paces you will walk in that direction. You should be walking towards the first pole in a long line of poles.

Solve: x˛ – 36x + 324 = 0

The solution is the number of poles you should walk past going east including the first one. In other words, go to the “Xth” pole.  After walking to the “Xth” pole turn 90 degrees to your right.

Now solve the following system of equations:

5.5A + 7.5B =1245

12A + 15B = 2580

“A” will be the number of paces you must walk to the next location. Walk ahead at a bearing of ( B + 80) on your compass. You will come to a sign that is the 17th leg of an object.  Once you reach the sign, walk east along the path there to the next big intersection. This will be the end of the “object”.

Once you reach the intersection, stop and look to your right. Record the number you see on the speed limit sign. Use it as variable T in the next equation.

F(T) = (T/3 + 5)˛ - 10

F(T) will be the bearing you must take from this intersection. Continue on down the path until you reach a place of rest. Take a break, have some fun on the jungle gym. Then go back to that blue bench you sat on before. Sit in the very middle of the bench and use A -1 to decipher this message.  (See Mathman 2 for information on how to use matrices to code/decode messages.)

which was encoded by matrix A =

Now follow the directions that you decoded.

From that location, use these 2 equations to solve for f(g(2)).

f(x) = 5x + 15

g(x) = 30x

The solution will be the bearing at which you must walk. Stop once you reach a court where there are four "objects" representative of the court. Now figure out this problem:

In how many ways can 3 males (Joe , Jerry and John) and 3 females (Jamie Jenny and Jasmine) be seated in a row if the genders alternate down the row?

If you got 15, go to the northeast "object"; 63 go to the southeast "object"; 72 go to the southwest "object"; 130 go to the northwest "object"

Now, solve this system of equations:

y= 5x + 175

y= 10x + 50

The Y-value of the solution of the system will be the bearing at which you must walk when standing next to the object. Now walk about 70 paces in that direction until you come to a low coniferous will a taller deciduous in the middle. The letterbox is hidden there.

BEFORE RETRIEVING THE BOX, BE SURE NO ONE IS AROUND TO SEE YOU TAKE THE BOX OUT!  DO NOT BRING ATTENTION TO YOURSELF OR THE HIDING LOCATION OF THE BOX!

As you approach, you'll see that a tree has been removed in the middle.  The box is under the coniferous branches to the right of the tree stump in the middle.

Before you set out read the waiver of responsibility and disclaimer.

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