Concepts 1.1
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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