Download COORDINATE PLANE

COORDINATE PLANE
• MATHEMATICIANS USE HORIZONTAL AND VERTICAL ________
Axes TO
DIVIDE A PLANE INTO FOUR REGIONS CALLED ______________.
Quadrants
• THE HORIZONTAL AXIS IS CALLED THE ___________.
x-axis
y-axis
• THE VERTICAL AXIS IS CALLED THE ___________.
1-9: PATTERNS, EQUATIONS AND GRAPHS
Pair
Ordered ___________OF
• AN _____________
NUMBERS NAMES THE LOCATION
OF A POINT ON THE PLANE.
• THESE NUMBERS ARE THE __________________
OF THE POINT.
Coordinates
• THE FIRST COORDINATE IS THE _________________.
x -coordinate
• THE SECOND COORDINATE IS THE ________________.
y-coordinate
ALGEBRA 1
I
II
1. Draw and label the x and y –axes
on the coordinate plane.
2. Label the origin.
3. Label the Quadrants: I, II, III & IV
4. Plot the points A: (-2,5), B: (0,-4),
C: (6,0), D: (-3,-5)
x
5. Identify the quadrants for the
following coordinates:
III
(-5,-6) ______
(0,-4) ________
y-axis
II
(2,-4) ______
x-axis
(3,0) _________
(5,5) ______
I
x-axis
(-5,0) ________
IV
(-3,7) ______
y-axis
(0,6) ________
C
D
III
1).
ORIGIN
(0,0)
y
Right
Socks
Left
Socks
0
1
2
3
4
5
6
7
Write an equation:
L  R4
Graph the
solutions:
Tell whether the ordered pair is a solution to the equation:
2 
2
y  x  4;  5,1
3). y  x  ;  2, 2 
2). y  x  8;  8, 0 
0  88
0  16
1 54
11
B
NO
YES
IV
You have four more left socks than right socks. How can you represent the
relationship between the number of left and right socks in three different ways?
Set up a table:
SOLUTIONS TO EQUATIONS WITH TWO VARIABLES
• A ______________
TO AN EQUATION WITH TWO VARIABLES IS AN
Solution
True
____________
MAKES THE EQUATION _________.
Ordered ________THAT
Pair
A
Complete Got It? #1
p. 69
5 
5
2
2
2  2 
5
5
2
2
2  2
5
5
YES
a). YES
b). NO
EXTENDING THE PATTERN
Reasoning TO
Inductive ______________
• USE _____________
PREDICT VALUES.
Conclusion BASED
• REACHING A _________________
Observed
Pattern
ON AN _______________
____________.
Use the equation 𝐿 = 𝑅 + 4 to predict values
If you have 12 right socks how many left socks
do you have?
L  R  4  12  4  16
If you have 20 left socks how many right socks
do you have?
L  R  4  20  R  4  16  R
1
Homework: p. 72 #10-30 even, 34, 37-40
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