Practice: The Coordinate Plane

Grade 6 Mathematics | Independent Practice

Name:
Date:

Part A: Identify the Quadrant

Directions: Write which quadrant each point is located in (I, II, III, or IV). If the point is on an axis, write "x-axis" or "y-axis."

1. (5, 3)

2. (-4, 7)

3. (-6, -2)

4. (8, -5)

5. (0, -4)

6. (-7, 0)

Part B: Write the Coordinates

Directions: Write the ordered pair (x, y) for each description.

7. Start at the origin, move 6 units right and 4 units down.

Ordered pair: ( , )

8. Start at the origin, move 3 units left and 7 units up.

Ordered pair: ( , )

9. Start at the origin, move 5 units left and 2 units down.

Ordered pair: ( , )

10. Start at the origin, move only 8 units up (no left/right movement).

Ordered pair: ( , )

Part C: Finding Distance Between Points

Directions: Find the distance between each pair of points. Show your work.

11. Distance from (2, 5) to (2, -3)

Same x-coordinate? _______ Use y-coordinates: |_____ - (_____) | = units

12. Distance from (-4, 6) to (5, 6)

Same y-coordinate? _______ Use x-coordinates: |_____ - (_____) | = units

13. Distance from (-7, -2) to (-7, 4)

Distance = units

14. Distance from (-3, -5) to (8, -5)

Distance = units

Part D: Real-World Coordinate Problems

Directions: Read each problem and answer the questions.

15. On a city map, the library is located at point (-3, 4) and the school is at point (-3, -2). If each unit represents 1 block, how many blocks apart are the library and school?

Answer: blocks

16. A drone starts at position (0, 0) and flies to position (4, -3). Describe the drone's movement in terms of direction and distance.

The drone moved _______ units to the _______ (left/right)

and _______ units _______ (up/down).

17. Points A, B, C, and D form a rectangle on the coordinate plane:

PointCoordinates
A(-2, 3)
B(4, 3)
C(4, -1)
D(-2, -1)

a) What is the length of side AB? units

b) What is the length of side BC? units

c) What is the perimeter of rectangle ABCD? units

Challenge: Think About It!

18. Point P is located at (3, -5). Point Q is the reflection of point P across the x-axis. What are the coordinates of point Q?

Point Q: ( , )

Hint: When you reflect across the x-axis, what changes?

19. A point is in Quadrant III. Both coordinates are integers. The x-coordinate is 2 less than the y-coordinate. If the y-coordinate is -3, what is the point?

The point is: ( , )