Students and parents of students should read my introduction to letterboxing before seeking the boxes.
These clues rely heavily 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.
1836 – The first
white settlers of
Be sure to read through all the clues before looking for the boxes so you know what is expected of you.
Take I-43 to exit 89
(County Highway C). After exiting the freeway, head west on County Highway C to
Algebraic symbols are used when you do not know what you are talking about.
Leave the gas
station heading south on
Facing north in the parking lot, head to the open pavilion. Count the number of names on a plaque on one of the pillars. Add four to the total number of names to get ______ (E).
Old mathematicians never die; they just lose some of their functions.
Now walk on the path that runs between the two ponds. Count the number of planks while crossing the bridge ______ (F). After crossing the bridge count the large rocks with engravings on them ______ (G). While sitting on the rock benches complete Steps Two and Three in the "Mathematical Clues" section.
Head towards the other pavilion at the north end of the location. On the east side of the pavilion, there is a baseball field. Record the number written on the center field fence ______ (M).
From the south end of the baseball field (right field corner), walk south ______ (L) paces parallel to the road. To the east is a notable location, and the first box is hidden among three tall pine trees. Carefully find the box, get the stamp, and solve Step Four in the "Mathematical Clues" section to find the next location.
Medicine makes people ill, mathematics make them sad and theology makes them sinful.
Leave this location
heading west on
At this new location, begin by counting the number of complete pillars on one side of the pavilion ______ (N). Now find a comfortable place to complete Steps Five, Six, Seven, and Eight in the "Mathematical Clues" section.
After exercising the brain, it is time to exercise a well rested body. From the southeast corner of the pavilion walk east (at a bearing 77 degrees) to a white sign off in the distance. Then, walk north (at a bearing of 35 degrees) to a row of sapling trees just before the wooded area on the river. From the westernmost tree, walk ______ (R+2) paces at a bearing of 300 degrees, then ______ (H+5) paces at a bearing of 22 degrees, and finally walk ______ (J+8) paces at a bearing of 116 degrees. The second box is hidden under some loose wood in the hollowed-out end of a fallen trunk in this clump of fallen trees. Carefully find the box, stamp in, and solve Step Nine in the "Mathematical Clues" section to find the next location.
Classification of mathematical problems as linear and nonlinear is like classification of the universe as bananas and non-bananas.
Leave this location
heading north on
After arriving at this new location, head to the playground equipment. Count the number of steps on the large metal slide ______ (T). Now find a place to complete Steps Ten, Eleven, and Twelve in the "Mathematical Clues" section.
After all that work, head to the covered picnic area, and count the support beams on the wooden structure ______ (AE). Next to the structure is a long row of trees to the west. Starting with the southernmost tree, count northward ______ (A divided by 3) trees. In a stump to the west is the third box. Carefully find the box, get the stamp, and solve Steps Thirteen, Fourteen, Fifteen, Sixteen, Seventeen, Eighteen, and Nineteen in the "Mathematical Clues" section to find the next location.
A mathematician is a blind man in a dark room looking for a black cat which isn't there.
location, head to the next location ______________________________ using only
the piecewise graph. At this final location, head to the back parking lot ("The
Back 40") and
walk ______ (AG+15) paces from the edge of the parking lot on down the trail to
two benches. Walk to the east to find the final box nestled in the crook of a
three trunked tree.
Use the digits of (B) and (C) to form a two by two matrix. Multiply the inverse of this matrix by the following two by six matrix. Decode the numbers to reveal the first location.
Find the line that is perpendicular to y = -2x + 52 and passes through the point (7,8). Then find the point where the two lines intersect so that x = (H) and y = (J).
Find the inverse of
the following relation: (173, 1), (216, 2),
Multiply (E) by (H) to form a four digit number, and use it to create a two by two matrix. Multiply the inverse of this matrix by the following two by five matrix. Decode the numbers for the next location.
Solve the following system of equations. Then combine the solutions to form a three digit number xyz which will be (P).
3x + 18y + 6z = 141
73y – 699 = -50z – 11x
x = 1
Simplify the following equation and solve for (Q) substituting the value of (P).
Simplify the following equation and solve for (R) substituting the values of (M) and (N).
Find the y-intercept, (S), for the following equation:
Combine (N) and (P) to form a four digit number, and use it to create a two by two matrix. Multiply the inverse of this matrix by the following two by six matrix. Decode the numbers for the next location.
Solve for (T), (U), and (V) by solving the following system of equations using elimination, substitution, matrices, or another method.
(T) = ?
72(T) + 5(U) – 20(V) = -830
.5(U) + 4(V) = 460
Solve for (AA) and (AB) by solving the following system of equations using substitution.
5(AA) + 20(AB) = 1402.5
3(AA) + 19(AB) = 1118
Solve for (AC) and (AD) where (AC) is the coefficient and (AD) is the y-intercept.
Multiply (AB) by (AC) to form a four digit number, and use it to create a two by two matrix. Multiply the inverse of this matrix by the following two by twelve matrix. Decode the numbers for the next location.
Find the positive root, (AG), for the following equation.
Find (AH), by finding the slope between ((U), (G)) and ((P), (Q)) leaving the answer as a reduced fraction. Also, find (AJ), by finding the slope between ((P), (Q)) and ((V), (E)) leaving the answer as a reduced fraction. Also, find (AK), by finding the slope between ((U), (G)) and ((V), (E)) leaving the answer as a reduced fraction.
On a graphics calculator or the graph provided, plot (scatterplot) the following points.
(Set the up graph so that the x-axis goes from zero to one hundred seventy and the y-axis goes from zero to one hundred twenty. Use an appropriate scale. I suggest going by 5's on the provided graph paper.)
On the same graph, graph the following piecewise equation.
Finally, graph the following vertical lines on the graph:
x = (U) x = (AC) x = (L)
correctly, this graph should be a map of
Before you set out read the waiver of responsibility and disclaimer.