Skill: Plot and identify points on the first quadrant of the coordinate plane

Explanation and Free Practice Resources

A point in the first quadrant is located by an ordered pair (x,y)(x,y), where xx gives the horizontal distance from the origin and yy gives the vertical distance, using nonnegative whole-number coordinates on a coordinate grid. The understanding includes reading, plotting, and interpreting such points and recognizing that reversing the coordinates changes the location; negative coordinates and other quadrants are not included.

Detailed Explanation: Plot and identify points on the first quadrant of the coordinate plane

A point is named with an ordered pair (x,y)(x,y).

  • The first number, xx, tells how far to move horizontally from the origin.
  • The second number, yy, tells how far to move vertically.
  • In the first quadrant, both numbers are nonnegative whole numbers.

Example: Plot (4,3)(4,3)

  1. Start at the origin, (0,0)(0,0).
  2. Look at the xx-coordinate, 44. Move 4 units to the right.
  3. Look at the yy-coordinate, 33. Move 3 units up.
  4. Mark the point and label it (4,3)(4,3).

So, the point (4,3)(4,3) is 4 units right and 3 units up from the origin.

To identify a point, count from the origin in the same order: count right for xx first, then up for yy. For example, a point 4 units right and 3 units up is (4,3)(4,3).

Remember that order matters. The point (3,4)(3,4) would be 3 units right and 4 units up, so it would be in a different location.

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