Download Coordinate Plane Slide Show for Webquest

Graphing on Four
Quadrants
In This Lesson, We Will:
Graph points on four quadrants
and identify the signs of each
quadrant.
Let’s look at coordinate
planes:
A coordinate plane is a grid with four
sections.
We designate
the location
of points with
the coordinates.
A coordinate plane has two lines
that divide the grid into four parts.
Each line, or axis, is labeled with an
x or y
Each axis is a number line
How can you remember which is which?
(Think of tails: Do tails usually hang down on
animals like a horse? Which axis hangs down
and which letter has a tail hanging down?)
Origin
The intersection of the x-axis with the
y-axis is called the origin.
Why?
The origin of anything is
the “starting point”. It is the
same on graphs.
origin
Ordered pairs:
•An ordered pair is a combination
of numbers that tells us where
to place a point on a coordinate
plane.
•Ordered pairs are always
given in the correct order!
(Think of the alphabet:
the x axis is always listed before the y axis.)
Think of a town as one big
coordinate grid.
If someone wanted to know where the
closest intersection to your school is, what
would you say?
This is the same idea
as an ordered pair.
This gives the location
of a certain point in
your town!
This coordinate grid shows various
locations in Washington D.C.
Can you pick out any ordered pairs to designate location?
When you list an ordered pair,
you should find the spot on the x-axis
and the spot on the y-axis.
Then simply move your fingers,
one finger vertically and one horizontally,
to the point where the two meet.
Another method would be to go to the
left or right on the x-axis and then go
up or down on the y-axis.
Vocabulary to Understand
Coordinate - the numbers that tell the
distance and direction of a point from
the origin.
Origin - the intersection of the x axis
and y axis.
Quadrant - a section of a coordinate
plane.
Let’s try it!
First make a coordinate plane on your
Webquest answer sheet.
Now plot the following points:
(2,2)
(-1,6)
(-5,-3)
(2, -2)
(5,4)
(-4,7)
(-3,-1)
(3, -4)
Your coordinate grid
should look similar to this:
(-4,7)
(-1,6)
5
4
3
2
1
-6
(-5,-3)
-5
-4
-3
(-3,-1)
-1
-2 -1 -2
-3
-4
-5
-6
-7
(5,4)
(2,2)
1
2
3
4
(2, -2)
(3, -4)
5
6
Do you see any pattern?
(-4,7)
(-1,6)
5
4
3
2
1
-6
-5
-4
-3
(-3,-1)
-1
-2 -1 -2
(-5,-3)
Do you notice anything about
the signs of the numbers in
each section of the graph?
-3
-4
-5
-6
-7
(5,4)
(2,2)
1
2
3
4
(2, -2)
(3, -4)
5
6
Each section, or quadrant, of the grid
has a Roman numeral assigned to it:
II
-6
-5
-4
III
I
5
4
3
2
1
-3
-1
-2 -1 -2
-3
-4
-5
-6
-7
1
2
3
IV
4
5
6
•What are the signs for each x and
each y in the designated quadrant?
(-4,7)
(-1,6)
Look at the
graph again:
-6
(-5,-3)
-5
-4
-3
(-3,-1)
5
4
3
2
1
-1
-2 -1 -2
-3
-4
-5
-6
-7
(5,4)
(2,2)
1
2
3
4
(2, -2)
(3, -4)
5
6
In this way, we always know what
section of the coordinate plane an
ordered pair will be found!
II
(-,+)
-6
-5
-4
I
(+,+)
5
4
3
2
1
-3
III
(-,-)
-1
-2 -1 -2
-3
-4
-5
-6
-7
1
2
3
IV
(+,-)
4
5
6
What section will each of
the following be found?
(62,52)
(-21,6)
(-85,-43)
(2, -2)
(75,74)
(-41,7)
(-33,61)
(-83, -4)
Draw a coordinate plane then write each
ordered pair in the correct quadrant on
your webquest answer sheet.
(Note: you do not have to plot the points!)
Find the ordered pairs for each of
the following points on the graph:
F
D
C
-6
-5
-4
-3
-1
-2 -1 -2
B
A
5
4
3
2
1
-3
-4
-5
-6
-7
E
1
2
3
4
G
H
5
6
We have learned the
vocabulary below:
Number line
Coordinate
Coordinate plane
Quadrants
Ordered pair
Points
Origin
x-axis
y-axis
You have done a great job today!
If you need to review this information again
feel free to go through this presentation as
many times as you need!
Coordinate planes
Written by: J. S. Liberatore