Use this worksheet to record your answers to the questions or problems for the Coordinate Plane Problems Portfolio. When you are finished, save this worksheet with your answers and submit it for a portfolio grade. 1. In this problem, you will think about where vertical line diagrams exist in the real world. a. What is an example of a real-world object that contains a vertical line diagram? How is this object used? b. Label the tick marks on the following vertical line diagram to match your chosen object. c. Label two locations on the vertical line diagram. What do each of these locations represent in the context of the real world? 2. Plot and label the following ordered pairs on the coordinate plane. a. (1, 5) b. (-2, 9) c. (5, -6) d. (-7, -3) e. (2.5, 8) f. (-½, 4) 3. In this activity, you will create an overhead sketch of a room on a coordinate plane. a. Choose a room. This could be a real room in your home or an imaginary room that you want to design. What room are you creating a sketch for? b. Imagine dividing the room into four quadrants. On your coordinate plane, label where the doors and windows of the room are. Plot and label points for the locations of various objects in the room (for example, you might plot a point at (-3, 2) for the location of the bed and label it “bed”). Make sure to have at least one object plotted and labeled in each of the four quadrants. c. Name each of the four objects and the ordered pairs for their locations on the coordinate plane. Object #1:__________ Ordered Pair:_________ Object #2:__________ Ordered Pair:_________ Object #3:__________ Ordered Pair:_________ Object #4:__________ Ordered Pair:_________

1 answer

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

  1. Location A: (5, 0)

    • Represents: The 5th floor of the building where the elevator stops.
  2. 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:

  1. Object #1: Bed

    • Ordered Pair: (-3, 2)
  2. Object #2: Desk

    • Ordered Pair: (3, 4)
  3. Object #3: Window

    • Ordered Pair: (-1, 6)
  4. 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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