|This box is the first in a series of letterboxes with Calculus clues. Thanks to Z-fan for the idea...|
Students and parents of students should read my introduction to letterboxing before seeking the boxes.
Story: A long time ago, seven pirate mathematicians were sailing on a lake when all of a sudden a great storm took them by surprise, and their ship began to sink. The mathematicians had sworn by oath that they would guard and protect the vast treasure that they carried on board. Only two of the mathematicians survived the storm with the treasure. They clung to a piece of timber, and eventually drifted to shore. Battered and beaten, they needed to return to their homeland for new supplies. They were too weak to carry the treasure and it was not safe to transport over the land. They mutually chose a secret location along the shore and decided to hide the treasure and return for it later. However, the two men never returned for the treasure, so it remains hidden to this day along the shores of the waters now called Friess Lake.
Instructions: This task sheet contains the
information required to find the treasure. There are spaces on this set of
sheets that are available to record information found and calculated on your
journey. Problems that can be solved before the journey are stared with an
From US 41/45 head west on State Road 167 for 5.5 miles
Turn left to head south on Friess Lake Rd for 0.3 miles
Turn left into park entrance, Glacier Hills County Park.
Take the main road east all the way until you reach the stop sign at the top of the hill.
Turn left and park just to the north of the building with a large stone chimney.
Range of number of adults for group alcohol use, $7.00 fee. BB [____ , ____]
Step 2 *Integrate
the following analytically:
= _______ (C)
Find the displacement = _______ (E) of an object over the interval t=[BB] if
Step 3 *At how many different values of x does the graph of f(x) = sin(x) have a horizontal tangent over the closed interval [0,162π]? Answer = ______ (G)
*Find the slope of the line tangent to the graph of f(x) = x2 +4x +3 when x = 57
Answer = ______ (H)
Now face the bearing
direction of G______ and walk H______ steps. From the wooden sign
before you, record the four digits of the cabin numbers in the order they appear:
Step 4 Find the slope of the line tangent to the graph of
at x = B
(See Step 1 for
Answer = ______ (M)
Step 5 Evaluate:
Answer = ______ (O)
*Determine the object defined as the surface of revolution of the function
Enter through the door that says
"Restrooms/Winter Sports Warming Room". Upon entering, go through the door on your
right. Walk to the other end of the room and exit through the door. Then, turn
right and go out another door. You should be in a spot which would indicate that
your displacement since you began is
.Round to the nearest whole number. Answer = ______ (Q)
*It takes a force of 11 Newtons to stretch a spring 2
meters beyond its natural length. How much work is done to stretch the spring 4
meters from its natural length? Answer = ______ (T)
Step 12 Look at the ground in front of you. Can you see the giant "washer"? Hey, speaking of washers…did you like the washer problem in step 5?
Step 13 Cross to the other side of the "washer". Count the number of swings U = ______ then walk over to the cream and green colored sign on the west side of the playground. What is the range for the children’s ages that can play? V = ______ to W = ______.
Step 14 Follow the road toward the volleyball and basketball court. Count the LITTLE brown, wooden poles on the right side of the road up to the stop sign. (Yes, there are a few extra poles that shouldn’t be counted.) Y = ______
Step 15 Take a load off and sit on one of the little poles near the stop sign. Find= ______ (X)
Now using what you learned about limits, head on a bearing of X______. Surprisingly, even road signs acknowledge that
Be careful that no one is nearby and watch out for the pirates on the “sea”!
You will find the treasure in the base of
the tree. Reach in the large hole to the right. Remove the rock holding
the treasure safely in place. Make sure to return the treasure and the
in the same spot in the tree for future treasure hunters.
We hope you enjoyed this letterbox, and maybe it will bring up your sinking Calculus grade!
Before you set out read the waiver of responsibility and disclaimer.