### 5-1 The Coordinate Plane

```Happy Wednesday!
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Organize binders (move notes to old notes)
New Homework Stamp Log 
Warm up: create a circle map
of a coordinate plane
Coordinate
Plane
5-1 The Coordinate Plane
5-2 Relations
Objective: To graph and identify
the graph of ordered pairs.
Standard 18.0
Vocabulary
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x-axis: the horizontal number line of a coordinate
plane
y-axis: the vertical number line of a coordinate
plane
origin: where the two axis intersect at the zeros
quadrant: the four sections of a coordinate plane
x-coordinate: the x component of an ordered pair
y-coordinate: the y component of an ordered pair
ordered pair: a point that can be plotted on a
coordinate plane
coordinate plane: the plane containing the x- and
y- axis
Picture – coordinate plane
y-axis
origin
x-axis
How to plot points
(x,y)
Right (+)
Up (+)
Left (-)
Down (-)
Graph and state the
(1,2)
(0,4)
(-3,6)
(-3,0)
(-1,-2)
(5,-2)
Name the coordinate &
A
B
A:
(-1,2)
B:
(2,1)
C:
(4,0)
D:
(6,-2)
E:
(-4,-3)
F:
(0,-2)
C
F
E
D
5-2 Relations
Objective: To show relations as a
set of ordered pairs, tables,
mappings, and graphs. To state
the domain, range and inverse of
a relation.
Relation – Example 1
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Relation: set of ordered pairs
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4 different ways to represent a relation
1) ordered pairs
{(-3,3) (-1,2) (1,1) (1,3)
(3,-2) (4,-2)}
2)
x
-3
table -1
1
1
3
4
y
3
2
1
3
-2
-2
= set notation
3) graph
4) map
x
-3
-1
1
3
4
y
3
2
1
-2
*Do not
duplicate
numbers!
TOyOta
Given the relation in the graph, write as a set of
ordered pairs, a table, and a mapping.
Ordered pairs:
{(5,0) (4,5) (-3,2) (-5,-3) (0,-3) (4,-5)}
Table
x
5
4
-3
-5
0
4
y
0
5
2
-3
-3
-5
Mapping
5
4
-3
-5
0
0
5
2
-3
-5
Look at Example 1
(-3,3) (-1,2) (1,1) (1,3) (3,-2) (4,-2)
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Domain: all x values (not repeated)
-3, -1, 1, 3, 4
Range: all y values (not repeated)
3, 2, 1, -2
Inverse: switch the x’s and y’s for each
ordered pair
(3,-3) (2,-1) (1,1) (3,1) (-2,3) (-2,4)
Look at the TOyOta
Find the domain, range and inverse.
Domain:
Range:
Inverse:
5, 4, -3, -5, 0
0, 5, 2, -3, -5
(0,5) (5,4) (2, -3) (-3,-5) (-3,0) (-5,4)
What happens to the domain and range after
you take the inverse? They switch
Homework
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Pg. 267# 17-37 ODD
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Math Lab Warm up
Find three consecutive odd integers whose sum is 153.
Two planes leave long beach at the same time but travel in
opposite directions. One plane averages 340 miles per
hour and the other 660 miles per house. In how many
hours will it be before the two planes are 6000 miles apart?
Relation – Example 1
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Relation: set of ordered pairs
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4 different ways to represent a relation
1) ordered pairs
x
y
2) table
{(-2,0) (-1,5) (-1,3)
(1,5) (3,-2) (2,0)}
= set notation
3) graph
4) map
x
y
*Do not
duplicate
numbers!
Example 1 continued:
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Domain:
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Range:
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Inverse:
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