Chapter 7 7.1
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Transcript of Chapter 7 7.1
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Chapter 7
Section 7.1: The Coordinate Plane
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Objective
Students plot and identifyordered pairs on a coordinate
plane
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Imagine the top surface of your deskstretching in in every direction
If it continued to spread,
it would go right throughyour neighbor.
..and then through the
classroom walls.
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..and through the school and the hills andthe mountains and out into space until itwent on forever and ever in every direction.
Then, you would have a plane.
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Inm
athem
atics, a plane is a flatsurface that goes on forever in
every direction.
In Algebra, we use theC O O R D I N A T E P L A N E
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Coordinate Plane cont.
Horizontal Number Line
The coordinateplane is divided bytwo number lines.
One is horizontal,like the number lineyou already know.
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Vertical Number Line
The other is vertical, with
up being in the positivedirection and down beingthe negative direction.
An example of this is athermometer
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Putting it together
Horizontal and Vertical Number Lines Together
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The coordinate plane isfilled with points . . .
An infinite number ofpoints
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Coordinate Plane: Identifying keyparts
Y-axis: Thevertical axis orline
X-Axis: Thehorizontal line
Origin:wherethe two
linesmeet
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Coordinates & Coordinate Pair
Coordinates
To study a point in the plane, weassign a set of numbers
This is an address and helps youget to the point starting at theorigin
It has an x value and a y value
Coordinates are always writtenwith the x value first and thenthe y value, a comma betweenthe two
Written like this x,y
Coordinate Pair
A pair of points written with
parenthese is a coordinatepair
(x,y)
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Consider the points (4,-2)
The first number tells you
how far to move along thex-axis
Remember to start atthe origin
Start at the origin
and count 4spaces to the right
1 2 3 4
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Consider the points (4,-2)
The second number orynumber tells you how farto move up or down.
Remember to start atthe origin
Start at the origin
and count 4spaces to the right
1 2 3 4
-1
-2
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(0,0)
This is point (0,0)
at the origin
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The two number linesdivide the plane into four
regions.
Quadrants are labeledwith Roman Numerals.
We call the regions
quadrants.
In Quadrant I, all values are
positive.
In Quadrant II, x-values are negative,
while y-values are positive.
In Quadrant III, x- and y-values
are both negative.
In Quadrant IV, x-values arepositive and y-values are
negative.
III
III IV-5 5
010-10
5
-5
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2,4
3,1
2, 3
5,2
Give the coordinates of each point:
Now whats thequadrant ofeach point?
III
IVIII