ch 4.1 objective: to plot points in the coordinate plane
TRANSCRIPT
Ch 4.1
Objective:
To plot points in the coordinate plane.
DefinitionCoordinate Plane
A plane created by the x-axis and y-axis in which the coordinates of a point are its distances from the origin.
More Definitions
Coordinate
A point written as an ordered pair (x, y).
Origin
The point where the x-axis and y-axis cross, written as (0, 0).
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Number Line
One Dimensional
x
Number Line (x-axis)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
Number Line
One Dimensional
Coordinate Plane
TwoDimensional
x-axis
y-axis
Coordinate Plane (x –axis & y-axis)
And Another DefinitionQuadrants
The four regions of the plane labeled with Roman numerals. Think of a clock: start at 1:00 and go counter-clockwise (backwards).
D
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
(3,2)(x,y)
Coordinate
(0,0)origin
Plot
A(-3,1)
B(5,-4)
C(-4,-6)
D(0,5)
A
B
C
x-axis
y-axis
Coordinate Plane
TwoDimensional
Number Line
One Dimensional
Plotting Points
Name the quadrant where each point would be located.
1) (2, -6)
2) (5, 7)
3) (-6, -5)
4) (6, -10)
5) (-7, 12)
6) (240, -1)
7) (-19, 7400)
8) (7, 0)
IV
I
III
IV
II
IV
II
NoQuadrant
Ordered Pairs
Domain - set of x-values.
Range - set of y-values.
{ (3, -2), (4, 1), (-3, -4), (0, 2), (-4, 0) }
1) State the domain.
2) State the range.
3) Plot the Points
{ 3, 4, -3, 0, -4}
{ -2, 1, -4, 2, 0 }x
y
0 100 200 300 400 500 600
Animal BrainWeight (g)
Max. Life (yr.)
Mouse
Fox
Jaguar
Sheep
Pig
Seal
Donkey
Chimp
0.4
50.4
157
175
180
325
419
440
3.2
9.8
22.4
20
27
41
40
50
x
y
Brain Weight (g)
Max
. Lif
e (y
rs.)
50
40
30
20
10
Scatterplots
0 100 200 300 400 500 600x
y
Brain Weight (g)
Max
. Lif
e (y
rs.)
50
40
30
20
10
Trend is increasing
Scatterplot - a coordinategraph of data points.
Line of Best Fit-Points act like magnets attracting the line.
Trend looks linear
0 100 200 300 400 500 600x
y
Brain Weight (g)
Max
. Lif
e (y
rs.)
50
40
30
20
10Line of Best Fit-Points act like magnets attracting the line.
Trend is increasing
Trend looks linear
Scatterplot - a coordinategraph of data points.
0 100 200 300 400 500 600x
y
Brain Weight (g)
Max
. Lif
e (y
rs.)
50
40
30
20
10Line of Best Fit-Points act like magnets attracting the line.
Trend is increasing
Trend looks linear
Scatterplot - a coordinategraph of data points.
0 100 200 300 400 500 600x
y
Brain Weight (g)
Max
. Lif
e (y
rs.)
50
40
30
20
10Line of Best Fit-Points act like magnets attracting the line.
Trend is increasing
Trend looks linear
Scatterplot - a coordinategraph of data points.
0 100 200 300 400 500 600x
y
Brain Weight (g)
Max
. Lif
e (y
rs.)
50
40
30
20
10Line of Best Fit-Points act like magnets attracting the line.
Trend is increasing
Trend looks linear
Scatterplot - a coordinategraph of data points.