Mathman 16 -
Alt Bauer Park

Jenny Dunnington, Lindsey Patzlberger, Sara Poppe, Kellye Zaporski

 

Terrain: Grassy park

Difficulty: Depends on math ability

Placed by: The Dragon (Mathman) and his Honors Advanced Algebra students of 2004-05

Location: Alt Bauer Park in Germantown, WI
County:
Washington, WI

Materials needed: Calculator, Compass, Writing Utensil, Personal Stamp, Inking Pens

Dragon's Home Page
Mathman Home Page

 
CAMOUFLAGED BOX
 

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. 
 

Be sure to read through all the clues before looking for the boxes so you know what is expected of you.


Clues:
 

Background Information: Alt Bauer Park is a 21-acre neighborhood park located in the south central portion of Germantown. It is located off of Old Farm Road and Wagon Trail, approximately 1/2 mile south of Mequon Road. Alt Bauer has large natural woodland and grassland areas. The park has an extensive trail system and modular playground equipment. It also provides basketball and tennis opportunities.

 

Drive to Alt Bauer Park in Germantown. Park in the parking lot that is off of Wagon Trail Road on the northern end of the park.  Head towards the fence to answer the following questions:

 

What time does the park open? ______

 

How many tennis courts are there? ______

Find 4 arithmetic means between 4 and 19:  4  _____  _____  _____  _____ 19
Use the four numbers for the decoding matrix below.  (Yes, they're not all single digits!)

Take a stroll down the rocky path, past the yellow bench on the left and basketball court. Continue over the bridge and do jumping jacks in the middle of it.

 

Come off the path and go through the grassy baseball field to the springy toys.

 

Count them and record the number: t1 = ______
Then have fun on them!


Decode the following matrix to figure out where to go next: _____________________________


 

 

Hint: Space=0, A=1, B=2. C=3, D=4, E=5, F=6, G=7, H=8, I=9, J=10, K=11, L=12, M=13, N=14, O=15, P=16, Q=17, R=18, S=19, T=20, U=21, V=22, W=23, X=24, Y=25, Z=26.

 

Stand with your back to its back and face right (bearing 90 degrees). Now, using your t1 , solve for the 9th term using the recursive formula: tn=tn-1 + 4       t9 = _______

Take that many steps at a bearing of 270o.  Stop and stay where you are to answer the following:


Count the number of mountain climbing steps on the playground: ______

Then multiply it by its square root. Record your final answer: _______

 

Now, from where you are, walk that many steps on a bearing of 20 degrees.

There, add the 4 digits together of the ordinance number and record the number: ______

 

Go to the right side of the backstop where itís open. Since the fence looks like Pascalís triangle, figure out the number which is the 4th entry of the 8th row in Pascal's Triangle. This will be the number of steps to take at a bearing of 360 degrees.  Finish "crossing over" and walk until the gravel makes a ďTĒ.


Site a bearing of 260 degrees to figure out whether to go left or right. Continue this way until you meet an intersection with a grassy path.

 

Solve the following system of equations:

 



If the x coordinate is negative, veer right onto the grassy path; if positive, then follow the gravel path.

 

Stop when you get to where the path splits - and BOY does it split!!  Number the paths before you 1 through 5 in a clockwise direction, with #1 being the north path going off to the left and finishing with path #5 which would be the path you came here on.


To figure out which path to take solve the following for x:

5=logx32     x = _____ Take path #x.1

Once you come to the next intersection of paths (ignore the small deer paths) simplify the following expression.  The resulting constant term is the bearing of the path that you need to take, and the coefficient of the linear term is the number of steps:

3(x + 4)(x + 15) = __________________

 

You should be in the middle of an "S" curve, so let's do some sigma notation!  Evaluate the following:
:


Use the result as your bearing. In that direction is a large tree off the trail.  Your prize is at the base of the tree hidden under forest debris.  You do not need to walk directly to the tree - there is a deer path a little farther down the path you are on that will take you to the tree without harming the forest floor.  Please re-cover well! Thanks!

 

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

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