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Name_______________
Water Park Project Part 1
You have recently been hired to create a blueprint for a water park. Your boss, Gelatinous
Harrington, is a very controlling person. She wants you to include specific attractions and necessities
in your design. Be prepared to answer her questions before you have had enough time to adequately
explain what you are doing. First off, she wants it to be done on a large sheet of graph paper so that
she can apply her mathematical knowledge to make the park the best it can be. She has issues and will
yell at you if you do not do this properly. Before starting your blueprint, identify the center of your
paper, and use a ruler to draw in the x and y axes. Then, you need to plot the approximate entrance
points (where the line starts!) of each attraction on the graph paper. Use a pencil.
TASK 1: Naming Your Coordinates
After planning out the layout and design of each water park attraction, you must identify it’s
location by using ordered pairs. Use your “entrance points” as the attractions identifiable location,
and fill in the chart below accordingly!
Location:
Ordered Pairs:
Entrance
(___0_____ , __-25_____)
Toddler Area
(___-3_____ , __-12____)
Help Center
(___7_____ , ___-20____)
Lazy River
(__5______ , __5______)
Large Whirlpool
(___-1_____ , ___1_____)
Concessions
(___13_____ , __-7____)
Water Slide #1
(___-15____ , __-3_____)
Gift Shop
(___-15___ , __-18_____)
Water Slide #2
(__12____ , ___18___)
Restrooms
(___-11___ , __16____)
Water Slide #3
(___-4___ , ___11___)
Security Desk
(__1_____ , ___21____)
TASK 3: Calculating the Slope
After identifying each attraction’s location with ordered pairs, you are now ready to calculate
the slope between attractions using the slope formula,
Y2 – Y1
X2 – X1
Using a RED pencil and a ruler, MARK the direct path to/from the locations mentioned below.
Calculate the slope of the line that is formed, and show your work in the space provided.
Entrance to Help Center
Help Center to Concessions
Concessions to Lazy River
Lazy River to Water Slide #2
Water Slide #2 to Security
Security to Restroom
Restrooms to Water Slide #3
Water Slide #3 to Large Whirlpool
Large Whirlpool to Water Slide #1
Water Slide #1 to Toddler
Toddler to Gift Shop
Gift Shop to Entrance
Task 4: Writing Linear Equations.
In task 3 you identified direct paths between various park attractions by drawing them in with
red lines. Now, you will show off your skills by writing equations for each of those red lines.
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Use the linear equation, y = mx +b and solve for B (the y-intercept). Use your slope (m)
from task three and one of the identified endpoints of that line (x, y).
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After solving for b, write each red line’s equation using only the value for slope and the
y-intercept value, leaving x and y as variables!
Entrance to Help Center
Solve for B:
Help Center to Concessions
Solve for B:
Y = _____ X + ____
Concessions to Lazy River
Solve for B:
Y = _____ X + _____
Lazy River to Water Slide #2
Solve for B:
Y = _____ X + _____
Y = _____ X + _____
Water Slide #2 to Security
Solve for B:
Security to Restroom
Solve for B:
Y = _____ X + _____
Restrooms to Water Slide #3
Solve for B:
Y = _____ X + _____
Water Slide #3 to Large Whirlpool
Solve for B:
Y = _____ X + _____
Y = _____ X + ______
Large Whirlpool to Water Slide #1
Solve for B:
Water Slide #1 to Toddler
Solve for B:
Y = _____ X + _____
Y = _____ X + _____
Toddler to Gift Shop
Solve for B:
Gift Shop to Entrance
Solve for B:
Y = _____ X + _____
Y = _____ X + _____
TASK 5: Calculating the Pathways
A team of surveyors is trying to determine how much area will be used for
pathways. Calculate below the amount of space between each attraction if each
pathway is 2 units wide.
Show your work in the space provided!
Entrance to Help Center
Help Center to Concessions
Concessions to Lazy River
Lazy River to Water Slide #2
Water Slide #2 to Security
Security to Restroom
Restrooms to Water Slide #3
Water Slide #3 to Large Whirlpool
Large Whirlpool to Water Slide #1
Water Slide #1 to Toddler
Toddler to Gift Shop
Gift Shop to Entrance
Task 6: Calculate True Dimensions of Pathways
As with any building, there is a point where the project must move from the blueprints to the actual
construction project. If one unit on the blueprint represents an actual distance of 20 feet, what area of
the park would be covered in pathways? Show all steps!
Task 7: Calculate the Cost of Pathways
The cost of concrete has gone up! The construction company put in a bid for $1,000,000 to spend on
concrete for pathways. How much will it cost in concrete for the pathways if concrete is $3.75 per
square foot? Will you have enough money to cover it or will you need to adjust the bid?
Show all work!
Task 8: Time To Personalize!!!
Title of the Park and Symbol for each attraction.
Linear Equations – Waterpark Project Rubric
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Label the X & Y axis (2 pts)
Plot the given points (12 pts)
Find the 12 slopes (36 pts)
Write the 12 equations (24 pts)
Areas of the 12 pathways (12 pts)
True Dimensions of Pathways (4 pts)
Cost of Pathways (4 pts)
Personalization of Map (6 pts)
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