Coordinate Planes

Intro to the coordinate plane

Objective: I will graph points in all four quadrants using ordered pairs of rational numbers.

Language Objective: I will locate ordered pairs of rational numbers on the coordinate plane

​Vocabulary

• x-axis

• y-axis

• Coordinate Plane

• Quadrants

• Ordered Pairs

• Origin

Remember the number line?

The numbers you use can be placed on this line. The number 1 would go over the number 1 on the number line. Numbers less than 0 are called negative numbers.

Now we have two number lines.

The original number line still goes left and right, but the new number line goes up and down. Now we have a two dimensional representation. The two number lines combined are called a coordinate plane. We can not only put numbers on our number lines, but also to the left, right, up, and down of the number lines.

A coordinate plane has labels to help us navigate.

Quadrants are the 4 areas created when we combined the number lines. The top right is Quadrant 1 moving counterclockwise you will find Quadrant 2, 3 and 4. We also want to label the number lines. We call the original number line the X-axis and the other number line the Y-axis.

Multiple Choice

The EMS is in what Quadrant?

• 1

• 2

• 3

• 4

Multiple Choice

The FIRE is in what quadrant?

• 1

• 2

• 3

• 4

Multiple Choice

the X-axis goes?

• up and down

• right

• left and right

• up

Multiple Choice

The Y-axis goes

• up

• right

• up and down

• left and right

If we have two number lines, we will have two numbers.

Since the X-axis represents the original number line, we will list that number first. The Y-axis number, will be listed second. We want to separate the two numbers with a comma and put parenthesis around them, so we know we are referencing numbers in our coordinate plane: (X,Y).

(X,Y) is used to represent our two numbers.

X represents the value from the center of the left and right number line and Y represents the value from the center of the up and down number line.
ORIGIN

The center where both number lines intersect is 0 and is called the origin. So we can represent the center of both number lines in our coordinate plane as (0,0), called the origin point.

Ordered Pairs

Ordered pairs represent points on the coordinate plane.

They are also called (x,y) coordinates

To find any point on our coordinate plane...

we need to know the two numbers. We know the first number will represent our left and right value on the X-axis. We know our second number will represent the up and down value on the Y-axis. Our X-axis number is at 3 and our Y-axis number is at 4. They intersect at that dot seen in our picture, we would label that dot as (3,4).

You should find the x value first, then the y value

Always write your ordered pairs in (x,y) order

Multiple Choice

Ordered pair (0,0) is also known as the ___.

• y-axis
• x-axis
• origin

Multiple Choice

In what order do you follow ordered pairs?

• x first then y

• y first then x

Multiple Choice

What would you label point E?

• (-3, 3)

• (3, -3)

• (-3, -3)

• (3, 3)

Multiple Choice

What would you label point C?

• (-1 , 3)

• (3, -1)

• (1, 3)

• (3, 1)

Multiple Choice

How do you write an ordered pair?

• (X,X)
• (Y,X)
• (X,Y)
• (Y,Y)

Multiple Choice

Where is point F located?

• ( -7, -5 )

• ( 7, -5)

• ( 5 , -7 )

• ( 0 , 0 )

The Coordinate Plane

Review: What is a Coordinate Plane?

​Coordinate Plane

• A mathematical tool used to graph points, lines, and other objects.

• It is also known as a two-dimensional plane formed by the intersection of the Y and X axis.

Origin

• The point where the number lines intersect. (0, 0)

Coordinate

• A point on the coordinate plane, expressed in ordered pair (x,y) form. All points can be traced to an X and Y location.

The Coordinate Plane

Review: Quadrants

Quadrants

• Quadrant 1 located in the upper right of the plane, contains positive X and Y coordinates. Example: (2, 3)

• Quadrant 2 located in the upper left of the plane, contains a negative X and a positive Y coordinates. Example: (-2, 3)

• Quadrant 3 located in the lower left of the plane, contains negative X and Y coordinates. Example: (-2, -3)

• Quadrant 4 located in the lower right of the plane, contains a positive X and a negative Y coordinates. Example: (2, -3)

• Engineers

• Astronauts

• Pilots

• Construction Workers

• Graphic Designers

• Navigators

• Fisherman

Careers

Used to determine a specific location in a large area.

Example: Let's find our location on the global map.

https://www.gps-coordinates.net/my-location

Mapping

Why is the Coordinate Plane Important?

The Coordinate Plane

Open Ended

How could you use what you learned today in the real world?

Example:

I can use graphs and coordinate planes for .