TASK 3: Calculating the Slope

Name___________________________
Date: _____________
Algebra 1
Linear Equations Project
Entertainment Center Project
Task 1: Designing your Center
You have recently been hired to create a blueprint for a brand new entertainment
center of your choice. Your boss, has created a list of ALL the attractions he would like
included in the center. (Entertainment Center examples: Water park, Amusement park,
Shopping mall, Real life video-game, School, be creative!!)
Design the entertainment center of your choice on a full sheet of graph paper.
1. Collaborate with your group what kind of entertainment center you want to
create. Come up with a name and describe (bottom half of this paper)
2. Take your graph paper and find the center to create x/y axis (draw this in and
label).
3. Plot the attractions on your graph paper **WITH PENCIL FIRST**. Try to use as
much of your graph paper as possible.
4. Complete the rest of this packet, then go back to decorate your center. BE
CREATIVE, MAKE IT LOOK PRETTY :)
Attractions to be included in your
Entertainment Center:
-Entrance
-Help center
-4 different attractions
-Kids area
-Food Court or restaurant (2)
-Restroom/Bathroom (2)
-Security
My entertainment center is a: _______________________________________
(describe it here)
My entertainment center’s name is _________________________________
Attraction Names:
Attraction:
Entertainment Center Name:
Entrance
Help Center
Attraction #1
Attraction #2
Attraction #3
Attraction #4
Kids Area
Food Court/Restaurant #1
Food Court/ Restaurant #2
Bathroom #1
Bathroom #2
Security
**Help Ms. DeVincentz out by putting your attractions name in the boxes below**
Task 2: Naming Your Coordinates:
After planning out the layout and design of your center attractions, identify it’s
location on your grid by using ordered pairs. Record your ordered pairs for each
below:
Location
Ordered Pairs:
Location
Ordered Pairs:
Entrance
( _____ , _____)
Kids Area
( _____ , _____)
Help Center
( _____ , _____)
Food Court/Restaurant
( _____ , _____)
Attraction #1 ( _____ , _____)
Food Court/ Restaurant #2 ( _____ , _____)
Attraction #2 ( _____ , _____)
Bathroom #1
( _____ , _____)
Attraction #3 ( _____ , _____)
Bathroom #2
( _____ , _____)
Attraction #4 ( _____ , _____)
Security
( _____, ______)
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,
Y –Y
X –X
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. CIRCLE ALL FINAL ANSWERS!
2
1
2
1
Help Center to Attraction #1
Kids Area to Food Court/Restaurant
#1
Entrance to Restroom# 1
Attraction #2 to Attraction #4
Restroom #2 to Restroom #1
Entrance to Security Center
Attraction # 1 to Attraction #3
Attraction #3 to Food
Court/Restaurant #2
Task 4: Write Linear Equations in Point Slope Form:
Using your slope and one of the two ordered pairs, write the equation of the line from
the one attraction to the next in point slope form.
Point Slope = y- y = m(x-x )
1
1
Help Center to Attraction #1
Kids Area to Food Court/Restaurant
#1
Entrance to Restroom# 1
Attraction #2 to Attraction #4
Restroom #2 to Restroom #1
Entrance to Security Center
Attraction #1 to Attraction #3
Attraction #3 to Food Court/
Restaurant #2
Task 5: Write Linear Equations in Slope Intercept Form:
Write an equation in slope intercept form. You can do this two different ways:
Option 1:
Use your point slope form, distribute and solve for y.
Option 2:
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).
Help Center to Attraction #1
Kids Area to Food
Court/Restaurant
Entrance to Restroom# 1
Attraction #2 to Attraction #4
Restroom #2 to Restroom #1
Entrance to Security Center
Attraction # 1 to Attraction #3
Attraction #3 to Food
Court/Restaurant #2
Task 6: Writing Linear Equations in Standard Form:
Now that you have found the equations for all of your lines in point slope and slope
intercept form, transform your equations into standard form!
Standard Form: Ax + By = C
**Don’t forget A CAN NOT BE NEGATIVE, NO FRACTIONS or DECIMALS**
Help Center to Attraction #1
Kids Area to Food
Court/Restaurant #1
Entrance to Restroom# 1
Attraction #2 to Attraction #4
Restroom #2 to Restroom #1
Entrance to Security Center
Attraction # 1 to Attraction #3
Attraction #3 to Food Court/
Restaurant #2
Task 7:
Color and decorate your blue prints!! (BE CREATIVE!!)
Task 8:
Complete self-reflection (It will not be accepted late)
**THIS PROJECT IS DUE FRIDAY, DECEMBER 4th, 2015**