What lies behind us and what lies before us are tiny matters compared to what lies within us.
Ralph Waldo Emerson
Today:• Return C3 Tests• Progress Reports• Goal Evaluations• 4.1 Instruction -
Notes• Practice
Algebra
The Coordinate Plane
Objectives:1. Plot points in the coordinate plane.2. Plot points in Real World problems. Vocabulary: coordinate plane, origin, x-axis, y-axis, ordered pair, x-coordinate, y-coordinate, quadrant, scatter plot
4.1
horizontal
or x-axis
vertical or y-axis
origin(0, 0)
1 2 3 4 5 6 7
123
56
4
7
-6
-2
-4
-6-4 -2
Vocabulary: coordinate plane – a plane with an x-axis and a y-axis that intersect at the
origin.
ordered pair – the location of any point on a coordinateplane using two numbers (x-coordinate, y-coordinate)
Vocabulary: coordinate plane
ordered pair
A(4, 3)
B(3, -1)
C(-3, 3)
D(-6, -3)
AC
BD
The Coordinate Plane4.1
Vocabulary: coordinate plane – a plane with an x-axis and a y-axis that intersect at the origin.
ordered pair – the location of a any point on a coordinateplane using two numbers (x-coordinate, y-coordinate)
quadrant – the 4 regions of the coordinate plane
1 2 3 4 5 6 7
123
56
4
7
-6-4 -2
Vocabulary: coordinate plane
ordered pair
quadrant
III
IVIII
(–,+)
(+,+)
(+,–)
(–,–) -6
-2
-4
The Coordinate Plane4.1
Identify Coordinates1Example
Find the ordered pair of the points.
(2, 2)
(-4, 5)
(7, -4)
(-3, -2)
(7, 0)
1 2 3 4 5 6 7
123
56
4
7
-6-4 -2
-6
-2
-4
(1, -6)
(-5, -6)
(-7, 2)
(6, 7)
(4, -3)
I
II
IV
III
None
IV
III
II
I
IV
Plot Coordinates2Example
Plot the ordered pair on the coordinate plane
(3, 5)
(-1, -5)
(7, 4)
(-3, 2)
1 2 3 4 5 6 7
123
56
4
7
-6-4 -2
-6
-2
-4
(3, -6)
(-5, -2)
(3, -4)
(-6, 0)
I
III
I
II
IV
III
IV
none
The Coordinate Plane
Steps to Make a Scatter Plot:1. Determine what will be x and y.
I. x – is in charge, it changes automatically
II. y – depends on x, is not automatic2. Determine units of each axis and label.
I. Find range of variableII. Divide range by number of squaresIII.Always round up to “nice” unit
3. Plot points.
4.1
Make a Scatter Plot3ExampleThe age (in years) of seven used cars and the price (in thousands of dollars) paid
$8,800
0 1 2 3 4 5 6 78 9 1011 121314150
1234
56
78910
1112
131415
age of carp
rice
in
$1
,00
0
Age 4 5 3 5 6 4 7
Price6.9
6.1
7.5
5.2
4.2
7.1
3.0
for the cars are recorded in the table. Make a scatter plot and explain what it indicates.
How much would a 2-year old car cost?
Make a Scatter Plot4ExampleThe age (in years) of seven used cars and the price (in thousands of dollars) paid
$1,500
0 1 2 3 4 5 6 78 9 1011 121314150
1234
56
78910
1112
131415
Age 4 5 3 5 6 4 7
Price69
61
75
52
42
71
30
for the cars are recorded in the table. Make a scatter plot and explain what it indicates.
How much would a 9-year old car cost?
pri
ce in
$1
,00
0age of car
Make a Scatter Plot3ExampleThe amount (in millions of dollars) spend in the United States on snowmobiles is shown in the table. Make a scatter plot and explain what it indicates.Year 90 91 92 93 94 95 96
Spent322
362
391
515
715
924
970
0
100
500
1000
1500
Am
ount
spent
(mill
ions
$)
90 95 00 05
year
Make a Scatter Plot3ExampleWhat do you predict was spent in the year 2000?
$1,600,000,000
0
100
500
1000
1500
Am
ount
spent
(mill
ions
$)
90 95 00 05
year
Year 90 91 92 93 94 95 96
Spent322
362
391
515
715
924
970
Assignment4.1
Assignment:• 4.1 p206 #10-29,
35-37 - USE GRAPH PAPER
• C3 Progress Report
What lies behind us and what lies before us are tiny matters compared to what lies within us.
Ralph Waldo Emerson
Assignment4.1
Assignment:• 4.1 p206 #10-29,
35-37 - USE GRAPH PAPER
• Graph Picture• C3 Progress
Report
What lies behind us and what lies before us are tiny matters compared to what lies within us.
Ralph Waldo Emerson
Graph a Picture5Example
Plot the points to graph a picture.