Math with Mr. J: Plotting Points on a Coordinate Plane

Introduction

• Topic: Plotting points on a coordinate plane.
• Axes Overview:
  • X-axis: Horizontal, side to side.
  • Y-axis: Vertical, up and down.

Key Concepts

• Ordered Pair:
  • Format: (x, y).
  • X-coordinate comes first, followed by the Y-coordinate (ABC order: X before Y).
• Origin:
  • Starting point (0, 0).
• Plotting Process:
  • Move horizontally along the x-axis first.
  • Move vertically along the y-axis second.

Examples

Example 1: (4, 7)

• X-coordinate: 4
  • Move over to 4 on the x-axis.
• Y-coordinate: 7
  • Move up to 7 on the y-axis.
• Plot Point: (4, 7).

Example 2: (3, -9)

• X-coordinate: 3
  • Move over to 3 on the x-axis.
• Y-coordinate: -9
  • Move down to -9 on the y-axis.
• Plot Point: (3, -9).

Example 3: (-9, 3)

• X-coordinate: -9
  • Move over to -9 on the x-axis.
• Y-coordinate: 3
  • Move up to 3 on the y-axis.
• Plot Point: (-9, 3).

Example 4: (-5, -6)

• X-coordinate: -5
  • Move over to -5 on the x-axis.
• Y-coordinate: -6
  • Move down to -6 on the y-axis.
• Plot Point: (-5, -6).

Example 5: (0, -2)

• X-coordinate: 0
  • No movement on x-axis from the origin.
• Y-coordinate: -2
  • Move down to -2 on the y-axis.
• Plot Point: (0, -2).

Example 6: (-8, 10)

• X-coordinate: -8
  • Move over to -8 on the x-axis.
• Y-coordinate: 10
  • Move up to 10 on the y-axis.
• Plot Point: (-8, 10).

Tips

• Marks: Marks were used on axes for clarity in examples, but are not necessary for actual plotting.

Conclusion

• Review: Always start with the x-coordinate, then move to the y-coordinate.
• Goal: Understanding the basic method to plot any given points on a coordinate plane.