Download When a vertical number line and a horizontal number line intersect

coordinatePlane.notebook
June 17, 2014
When a vertical number line and a horizontal number line intersect at right angles and at the point zero on each line, they form axes on a coordinate plane
The number lines intersect at the origin
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
We label the horizontal axis with x x
We label the vertical axis with y
y
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coordinatePlane.notebook
June 17, 2014
The axes divide the coordinate plane into four +4 sections called quadrants
y +5
+3
Quadrant 2
Quadrant 1
+2
+1
­7
­6
­5
­4
­3
­2
+1
­1
x
+2 +3 +4 +5 +6 +7
­1
­2
Quadrant 3
­3
Quadrant 4
­4
­5
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coordinatePlane.notebook
June 17, 2014
To locate a point on our coordinate plane we use an ordered pair. It is called an ordered pair because the order in which the pair of numbers is written is important. Example: (+3, +1)
The first coordinate , the x­coordinate, is +3. This means that the point is 3 units to the right of the origin (0, 0). The second coordinate, the y­coordinate, is +1. This means that it is 1 unit up from the origin.
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coordinatePlane.notebook
June 17, 2014
y +5
(+3, +1)
+4
+3
y­coordinate of +1 tells you to move one unit up from +1
the origin
x
0 +1 +2 +3 +4 +5 +6 +7
x­coordinate of +3 ­1
tells you to move 3 ­2 units right of the origin
+2
­7
­6
­5
­4
­3
­2
­1
origin
­3
­4
­5
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coordinatePlane.notebook
June 17, 2014
If an x­ coordinate is
+ move to the right of the origin
­ move to the left of the origin
If a y­coordinate is
+ move up from the origin
­ move down from the origin
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coordinatePlane.notebook
June 17, 2014
y +5
Quadrant 2
+4
Quadrant 1
+3
+2
+1
­7
­6
­5
­4
­3
­2
­1
0 +1
­1
x
+2 +3 +4 +5 +6 +7
­2
­3
Quadrant 3
­4
Quadrant 4
­5
In which quadrant is each point located? a) A (+5, +1)
b) B (­3,­5)
c) C (+3, ­2)
d) D (­4, +2)
f) O (0,0)
e) E (+2, ­2)
In which quadrants do the coordinates of a point have the same sign?
Plot the points onto the above graph.
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coordinatePlane.notebook
June 17, 2014
Name the coordinates of each point below.
y +5
H
+4
+3
G
+2
M
­7
­6
­4
­5
J
­3
­2
­1
+1
K
x
O
0 +1 +2 +3 +4 +5 +6 +7
­1
N
­2
­3
P
L
­4
­5
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coordinatePlane.notebook
June 17, 2014
y +5
+4
+3
+2
+1
­7
­6
­5
­4
­3
­2
­1
0 +1
­1
x
+2 +3 +4 +5 +6 +7
­2
­3
­4
­5
Plot each set of points and join them in order to form a quadrilateral. Identify the quadrilateral.
a) A (+1, +1), B (+1, +5), C(­3, +5), D(­3, +1)
b) J (+1, ­3), K (+5, +1), L(+8, +1), M(+4, ­3)
c) P (­3, 0), Q (­6, ­2), R (+4, ­4), S (+10, 0)
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coordinatePlane.notebook
June 17, 2014
Play a game of battleship
y +5
+4
+3
+2
+1
­7
­6
­5
­4
­3
­2
­1
0 +1
­1
x
+2 +3 +4 +5 +6 +7
­2
­3
­4
­5
Play with groups of two players and two coordinate grids.
Each player plots five ships on his or her own grid. The battleship takes up four points.
The cruiser takes up three points.
The patrol boat takes up two points.
The carrier takes up three points.
The tug boat takes up two points.
The points need to be side by side horizontally, vertically or diagonally. Players alternate turns guessing the coordinates of the other player's boats until one player sinks all of the other player's boats.
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