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Navigating the World of Coordinate SystemsLoading...

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By: Michaela VelichkaTable of Contents

Chapter 1:

Chapter 2:

Chapter 3:

Resources

Chapter 2:

Chapter 3:

Resources

Introduction to the Coordinate System

Ordered Pairs

Plotting Points in the First Quadrant

(p. 3-5)

(p. 6-8)

(p. 9-10)

(p. 11)

Chapter 1: Introduction to the Coordinate System

The coordinate system is a system of numbers used for describing the location of points on a coordinate plane, or a flat (2D) surface.

The coordinate system is formed by two intersecting, perpendicular number lines. These number lines are called axes. The horizontal axis is called the x-axis. The vertical axis is called the y-axis.

The coordinate system is formed by two intersecting, perpendicular number lines. These number lines are called axes. The horizontal axis is called the x-axis. The vertical axis is called the y-axis.

y-axis

x-axis

Chapter 1: Introduction to the Coordinate System

y-axis

Helpful hint!

To remember which axis is which, try using one of the following clues about the y-axis:

The y-axis goes up and down like a yo-yo

OR

State the phrase "Y to the sky!"

To remember which axis is which, try using one of the following clues about the y-axis:

The y-axis goes up and down like a yo-yo

OR

State the phrase "Y to the sky!"

x-axis

Chapter 1: Introduction to the Coordinate System

The point, or location in space, where the axes meet is called the origin. Both the x and y values at this point are 0. In the next chapter, we will discuss how to write the coordinates of a point.

The coordinate plane can be divided into four quadrants, as pictured to the right. We will begin working on writing ordered pairs and graphing points in the first quadrant in chapters 2 and 3.

The coordinate plane can be divided into four quadrants, as pictured to the right. We will begin working on writing ordered pairs and graphing points in the first quadrant in chapters 2 and 3.

y-axis

Quadrant 2

Quadrant 1

origin

x-axis

Quadrant 3

Quadrant 4

Chapter 2: Ordered Pairs

An ordered pair is a pair of numbers used to state the location of a point on a plane. Ordered pairs are written in the format (x,y). The x-coordinate, or the location of the point in relation to the x-axis, comes first within the parentheses. The y-coordinate, or the location of the point in relation to the y-axis, is written after the x-coordinate and a comma. The ordered pair for the origin would be (0,0).

(0,0)