3.3 Coordinate Plane

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Transcript 3.3 Coordinate Plane

What Comes Next
• Here is a sequence of letters:
• O T T F F S ____, _____, _____
• What 4 letters come next in this
sequence?
• What does the sequence represent?
Solution
• The next four letters are S, E, N, and
T.
• Each letter is the first letter of a
number written in word form, the
numbers being the sequence of
natural numbers: One, Two, Three,
Four, Five, Six, Seven, Eight, Nine,
Ten.
3-3 The Coordinate Plane
Coordinate Planes
Y-axis
4
Quadrant
Two
-4
origin
-3
-2 -1
Quadrant
Three
3
2
1
0
-1
-2
-3
-4
Quadrant
One
1
2
3
4
Quadrant
Four
X-axis
An ordered pair is a pair of numbers used to locate a
point on the coordinate plane.
The ordered pair is always listed with the x-coordinate
then the y-coordinate. ( x, y) Ex. (5, -3)
Quadrant 4
Two 3
Quadrant
One
2
(-, +)
-4
-3
-2 -1 0
-1
Quadrant
-2
Three
-3
(-, -)
( +, +)
1
-4
1
2
3
4
Quadrant
Four
(+, -)
To read or write an ordered pair always locate the x
coordinate first.
X -Axis
-4
-3
-2 -1
0
1
2
3
4
( 1,
)
Then locate the y coordinate.
4
3
2
1
-1
-2
-3
-4
Y axis
( 1, 3 )
The ordered pair at the origin is (0, 0)
What are the ordered pairs for these points?
(3,4)
(-3, 3)
4
3
(1,1)
2
1
-4
-3
-2 -1 0
-1
1
2
3
4
(2, -2)
-2
-3
(-4, 0)
-4
(0, -3)
Plot the following points on the coordinate plane.
(2, -4)
(-1, -1)
(3, 2)
(-4, 3)
4
3
2
1
-4
-3
-2 -1
-1
-2
-3
-4
0
1
2
3
4
When will we use this?
• The coordinate plane is used to
locate places on a map. Lines of
latitude and longitude are used.
• Hurricane tracking uses the
coordinate plane.
•The coordinate plane is used to plot points on a
graph.
•There are 4 Quadrants in the coordinate plane.
•The x-axis is the horizontal axis, the y-axis is the
vertical axis.
•Points are written as ordered pairs: (x, y).
•To locate a point on a graph locate the
x-coordinate first and then the y-coordinate.
Don’t Forget:
Homework- Lesson 3-3 # 2-22
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