Learn on PengienVision, Mathematics, Grade 5Chapter 14: Graph Points on the Coordinate Plane

Lesson 1: The Coordinate System

In this Grade 5 enVision Mathematics lesson from Chapter 14, students learn how to locate and name points on a coordinate grid using ordered pairs, x-coordinates, and y-coordinates. The lesson introduces key vocabulary including the x-axis, y-axis, and origin, and explains why the order of numbers in an ordered pair matters when identifying a point's location. Students practice both reading ordered pairs from a grid and plotting points given specific coordinates.

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 14: Graph Points on the Coordinate Plane

  1. Lesson 1Current

    Lesson 1: The Coordinate System

  2. Lesson 2

    Lesson 2: Graph Data Using Ordered Pairs

  3. Lesson 3

    Lesson 3: Solve Problems Using Ordered Pairs

Lesson overview

Expand to review the lesson summary and core properties.

Expand

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 14: Graph Points on the Coordinate Plane

  1. Lesson 1Current

    Lesson 1: The Coordinate System

  2. Lesson 2

    Lesson 2: Graph Data Using Ordered Pairs

  3. Lesson 3

    Lesson 3: Solve Problems Using Ordered Pairs