Objective:
Location
In this lesson you will identify and describe the
location of objects on a coordinate grid in any of
the four quadrants.
If you need to check a word's definition, please go to the glossary by clicking the Vocabulary button
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angle
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Cartesian plane
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equilateral
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hexagon
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isosceles
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octagon
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parallelogram
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pentagon
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perpendicular
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quadrilateral
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quadrant
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rhombus
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right angle
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trapezoid
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vertex (vertices)
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prism
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Tips to Remember:
Parts of a Coordinate Grid
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The x-axis is the horizontal number
line.
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 The y-axis is the vertical number
line.
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Where the x and y-axis meet is called the origin,
with coordinates of (0,0).
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There are 4 quadrants on a coordinate
grid.
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Quadrant I includes
all number pairs that have x and y both positive.
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Quadrant II includes
all number pairs that have x as being negative
and y is positive.
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Quadrant III includes
all number pairs that have x as being negative
and y is negative.
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Quadrant IV includes
all number pairs that have x as being positive
and y is negative.
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Ordered Pairs
An ordered pair is a pair of numbers placed
inside parentheses with a comma between them.
For example: (2,-3)
When locating points on a grid, the first coordinate,
in the above ordered pair it would be 2, is called
the x-coordinate. This means begin at 0, the
origin where the x and y axis meet, and go to
the 2 point.
The second number in the ordered pair is the
y-coordinate. This means you will go -3, down
three places, from the 2.
The point (2,-3) is represented on the chart.
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Locating Points on a Grid
If you are given an ordered pair or coordinates
to locate on a grid follow these steps:
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Look at the first coordinate
which is your x-coordinate.
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Locate the origin of your
grid, (0,0), where the x and y-axis meet.
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Go to the point for your
x-coordinate. If the number is positive you
will go to the right of 0 and if the number
is negative you will go to the left of 0.
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Look at the second coordinate
which is your y-coordinate.
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From x-coordinate where you
are, go up or down according to your y-coordinate.
If your y-coordinate is positive you will
go up that number and if it is negative you
will go down that number.
For example - Locate (4, -2) on the grid.
Your answer would look like this:
If you are given a point on a grid and need
to give its ordered pair or coordinates follow
these steps:
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Find the x-coordinate first,
by finding the point and going down or up
until you meet the x-axis. The point you
come to on the x-axis will be your x-coordinate.
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Find the y-coordinate by
finding the point and going across until
you meet the y-axis. The point you come to
on the y-axis will be your y-coordinate.
For example - what are the coordinates of
point A?
Begin at the origin, (0,0) to help you find
your x-coordinate. In this case, you move over
from point (0,0) and go to the left until you
come to -3 which is the number of units (on
the negative side of the origin) from (0,0).
That is our x-coordinate.
For the y-coordinate you go up or down from
your x-coordinate. In this case, you will begin
at -3, your x-coordinate, and move up until
you reach your point A. From the point on the
x axis you go up 5 units. Therefore, you have
found your y-coordinate, 5.
Point A is labeled as (-3,5).
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Understanding a Number Line
A number line is a line that shows numbers in
order. Using a number line you are able determine
the distance between any two integers. Below
is a sample number line.

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Example
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