Transcript Concepts 1.1

Bell Work
Graph the points on the number line.
1.
4, 1,  2,  6
2.
7,  4, 0, 3
3.
1
 7, 2.5,  1.5,
2
11/12/14
Next Chapter
Chapter 5A
Linear Functions I
Heading
4/7/2016
5.0 The Coordinate Plane
TSWBAT: plot points on a coordinate
plane and identify the quadrant.
Students graph a linear equation and compute the
x- and y- intercepts (e.g., graph 2x + 6y = 4). They
are also able to sketch the region defined by linear
inequality (e.g., they sketch the region defined by
2x + 6y < 4).
Notes
• The Coordinate Plane
• x-axis = the horizontal axis
• y-axis = the vertical axis
• origin = the center, is at point (0,0)
y-axis
x-axis
origin
Notes
• Ordered pair
 x, y 
x-coordinate
y-coordinate
• x-coordinate = the number of spots on the x-axis
• if positive, go to the right
• if negative, go to the left
• y-coordinate = the number of spots on the y-axis
• if positive, go up
• if negative, go down
Notes
Plot the ordered pair
Ex.
 4,  2
1) Start at the origin.
2) Move to the right or
left according to the
x-coordinate.
What is the x-coordinate?
3) Move up or down
according to the
y-coordinate.
What is the y-coordinate?
origin
4
2
 4,  2
Notes
Now you try.
Plot the ordered pair
Ex.
 3,  4
1) Start at the origin.
2) Move to the right or
left according to the
x-coordinate.
What is the x-coordinate?
3) Move up or down
according to the
y-coordinate.
What is the y-coordinate?
origin
3
4
 3,  4
Notes
Plot the points on the graph.
B
A  4, 2 
B  2, 7 
C  3, 4 
D  8,  1
E  5,  4 
F 1,  2
C
G  5,  8
A
J
D
I
H  0,  6 
I 8, 0 
F
E
J  0, 0 
H
G
Notes
Now you try.
Plot the points onto the graph.
J
C
A  5, 1
B  2,  5
C  1, 6
D  6,  3
F  4,  2 
E
A
I
G
F
D
E  7, 1
B
H
G  3, 0 
H  0,  9 
I 1, 0 
J 10, 10 
Notes
• Quadrants
• a coordinate plane is split up by the x-axis
and y-axis into four equal squares
What does
quad mean?
• we label the quadrants I, II, III, IV
y
The top right
one is first
because all of
the numbers are
positive.
II
Number
them
counter
clock-wise
I
x
III
IV
Notes
Identify the quadrant the point is in.
Point
Quadrant
A  3,  6 
IV
B  2, 4 
II
B
Now you try.
E
C 8, 3
I
D  7,  5
III
E  3, 0
C
None
D
A
Summary
coordinates
To plot a point you need the points ___________.
x
The first coordinate is the __-coordinate
and it tells you
left (if
how many spots to go right (if positive) or ____
coordinate and
negative). The next coordinate is the y-__________
up (if positive) or
it tells you how many spots to go ___
negative
down (if ________).
Today’s Homework
Rules for Homework
1. Pencil ONLY.
2. Must show all of your work.
• NO WORK = NO CREDIT
3. Must attempt EVERY problem.
4. Always check your answers.
Homework
5.0
Plot the points onto the graph and name the quadrant.
A  6,  2 
F  2, 9 
B  4,  7 
G  1,  6
C  7, 6
H  4, 8
D  0,  3
I  0, 5
E  9, 0
J 10, 0 
Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Plot the point onto the graph and name the quadrant.
 4, 1