Learn on PengiPengi Math (Grade 5)Chapter 9: The Coordinate Plane

Lesson 1: Coordinate Plane and Ordered Pairs

In this Grade 5 lesson from Pengi Math Chapter 9, students learn to navigate the coordinate plane by identifying the x-axis, y-axis, and origin (0, 0) as the foundation for locating points. Students practice reading and plotting ordered pairs (x, y) in the first quadrant, understanding why the order of coordinates matters when moving horizontally before vertically. The lesson also covers how to interpret points that fall on an axis when one coordinate is zero and how to verify accuracy by reading coordinates back from the graph.

Section 1

The Coordinate Axes

Property

A coordinate grid is formed by two perpendicular number lines called axes. The horizontal axis is called the x-axis, and the vertical axis is called the y-axis. Their point of intersection is called the origin.

Examples

Section 2

Ordered Pairs

Property

We write the coordinates of point inside parentheses as an ordered pair. The order of the coordinates makes a difference. We always list the horizontal coordinate first, then the vertical coordinate.

Examples

  • The ordered pair (5,8)(5, 8) represents a point that is 5 units along the horizontal axis and 8 units along the vertical axis.
  • To plot the point (2,9)(2, 9), you start at the origin, move 2 units horizontally, and then 9 units vertically.
  • The point with coordinates (0,6)(0, 6) is located on the vertical axis, 6 units up from the origin.

Explanation

An ordered pair is like an address for a point on a graph. The first number tells you how far to move along the horizontal axis, and the second number tells you how far to move up or down the vertical axis.

Book overview

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Chapter 9: The Coordinate Plane

  1. Lesson 1Current

    Lesson 1: Coordinate Plane and Ordered Pairs

  2. Lesson 2

    Lesson 2: Solving Problems on the Coordinate Plane

Lesson overview

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Section 1

The Coordinate Axes

Property

A coordinate grid is formed by two perpendicular number lines called axes. The horizontal axis is called the x-axis, and the vertical axis is called the y-axis. Their point of intersection is called the origin.

Examples

Section 2

Ordered Pairs

Property

We write the coordinates of point inside parentheses as an ordered pair. The order of the coordinates makes a difference. We always list the horizontal coordinate first, then the vertical coordinate.

Examples

  • The ordered pair (5,8)(5, 8) represents a point that is 5 units along the horizontal axis and 8 units along the vertical axis.
  • To plot the point (2,9)(2, 9), you start at the origin, move 2 units horizontally, and then 9 units vertically.
  • The point with coordinates (0,6)(0, 6) is located on the vertical axis, 6 units up from the origin.

Explanation

An ordered pair is like an address for a point on a graph. The first number tells you how far to move along the horizontal axis, and the second number tells you how far to move up or down the vertical axis.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 9: The Coordinate Plane

  1. Lesson 1Current

    Lesson 1: Coordinate Plane and Ordered Pairs

  2. Lesson 2

    Lesson 2: Solving Problems on the Coordinate Plane