COORDINATES
Definition Of Coordinates
In a two-dimensional coordinate plane, Coordinates are the pairs of numbers which specify the position or location of a point or of an object.
More About Coordinates
Coordinates are represented by putting the ordered pairs in parentheses. For example: (x, y).
X-coordinate is the first number in an ordered pair and represents the horizontal position of an object in the coordinate plane.
Y-coordinate is the second number in an ordered pair and represents the vertical position of an object in the coordinate plane.
Video Examples: Graph on a Coordinate Plane
Example of Coordinates
The point P is eight units to the left of the Y-axis (negative direction) and is eight units below the X-axis (negative direction). So the coordinates of point P is (- 8, - 8).
Solved Example on Coordinates
Ques: Identify the coordinates of the point C from the graph.
Choices:
A. (- 5, 1)
B. (5, - 1)
C. (- 1, - 5)
D. (- 5, - 1)
Correct Answer: D
Solution:
Step 1: Start at the origin.
Step 2: The point C is 5 units to the left of the Y-axis.
Step 3: So, the X-coordinate of point C is - 5.
Step 4: Point C is 1 unit below the X-axis.
Step 5: So, the Y-coordinate of point C is - 1.
Step 6: The coordinates of the point C are (- 5, - 1).
Quick Summary
- Coordinates are represented as ordered pairs (x, y).
- The x-coordinate represents the horizontal position.
- The y-coordinate represents the vertical position.
🍎 Teacher Insights
Use graph paper and physical manipulatives to help students visualize coordinate locations. Emphasize the importance of order when writing coordinates.🎓 Prerequisites
- Basic Arithmetic
- Number Lines
Check Your Knowledge
Q1: What are the coordinates of a point 3 units to the right of the origin and 2 units above the origin?
Frequently Asked Questions
Q: What does the origin (0,0) represent?
A: The origin is the point where the x-axis and y-axis intersect. It serves as the reference point for all other coordinates.