Coordinate Plane Problems Portfolio Worksheet
1. Vertical Line Diagrams in the Real World
a. Example of a Real-World Object
Example: An elevator shaft in a building. Use: The elevator shaft is a vertical space that allows elevators to move up and down between floors. It connects various levels in a multi-story building and is essential for transporting people and goods.
b. Labeling the Tick Marks
Vertical Line Diagram:
|
| 10 - Top Floor (10th Floor)
| 9
| 8
| 7
| 6
| 5 - 5th Floor
| 4
| 3
| 2
| 1
| 0 - Ground Floor (1st Floor)
|_______________________
c. Locations on the Vertical Line Diagram
-
Location A: (5, 0)
- Represents: The 5th floor of the building where the elevator stops.
-
Location B: (10, 0)
- Represents: The top floor (10th floor) of the building where the elevator reaches the maximum height.
2. Plotting Ordered Pairs on the Coordinate Plane
Here are the plotted points and their locations:
Coordinate Plane:
Y
^
|
9 ● (-2, 9)
|
8 ● (2.5, 8)
|
7
|
6
|
5 ● (1, 5)
| ● (-½, 4)
|
4
|
3 ● (-7, -3)
|
2
|
1
|
0__________________________________________________> X
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
● (5, -6)
|
-1
|
-2
|
-3
|
-4
|
-5
|
-6
Points:
- a. (1, 5)
- b. (-2, 9)
- c. (5, -6)
- d. (-7, -3)
- e. (2.5, 8)
- f. (-½, 4)
3. Overhead Sketch of a Room on a Coordinate Plane
a. Chosen Room
I am creating a sketch for a bedroom.
b. Dividing the Room into Four Quadrants
I will place doors, windows, and furniture items based on the quadrants.
Objects in the Room:
-
Object #1: Bed
- Ordered Pair: (-3, 2)
-
Object #2: Desk
- Ordered Pair: (3, 4)
-
Object #3: Window
- Ordered Pair: (-1, 6)
-
Object #4: Wardrobe
- Ordered Pair: (2, -3)
Plotting the Room:
Y
^
| Window
| ● (-1, 6)
|
|
| Desk ● (3, 4)
|
|
| Bed
| ● (-3, 2)
|
|
|
|__________________________________________________> X
-4 -3 -2 -1 0 1 2 3 4
| Wardrobe
| ● (2, -3)
|
|
End of Worksheet
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