Upload
lenard-waters
View
237
Download
0
Tags:
Embed Size (px)
Citation preview
Ordered Pairs and Relations
1.6
(x, y)Ordered Pair
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
quadrants
first
quadrant
second
quadrant
third
quadrant
fourth
quadrant
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
Signs
(+,+)(-, +)
(-,-) (+,-)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
“origin” (0,0)
+
+
-
-
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(5, 4)
Coordinate Plane
“origin” (0,0)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(5, -4)
Coordinate Plane
“origin” (0,0)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(-5, -4)
Coordinate Plane
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yGraph (-5, 4)
(-5,4)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
(-3, 3)
What are the coordinates?
Which quadrant?
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
(5, -2)
What are the coordinates?
Which quadrant?
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yWhat are the coordinates?
Which quadrant?
(1,1)
Relation:
A set of ordered pairs
Example: { (1,2), (3,4), (5,1)}
Expression a Relation as a Table
Relation Table
{ (1,2), (3,4), (5,1)} x y
1 2
3 4
5 1
The x- coordinates in a relation.
Example: Find the domain of { (1,2), (3,4), (5,1)}
The domain is {1,3,5}
Domain:
The y-coordinates in a relation.
Example: Find the Range of { (1,2), (3,4), (5,1)}
The Range is {2,4,1}
Range
Example: John earns $5 an hour doing yard work. Make a table of
ordered pairs in which the x- coordinate represents the hours and the y-coordinate represents the amount of money John earns for 1, 2, 3, and 5 hours of work.
Hours (x) $$ (y)
1 5
2 10
3 15
5 25
Example continued: Graph the table on
your graph paper.Describe the graph.
Is it increasing from left to right?
yes Is it decreasing from
left to right?no
Does John make more money the more hours he works?
yes
Page 34 (12-32) all
Homework
Label from 10 to -10 on both x and y axis for your battle zone and your partner’s battle zone
Battleship
Plot your ships on “My Battle Zone”: (has to be consecutive either up down, left, right or diagonal)◦ Destroyer ( , ) & ( , )◦ Submarine ( , ) & ( , ) & ( , )◦ Cruiser ( , ) & ( , )& ( , ) & ( , )◦ Battleship ( , )& ( , ) & ( , ) &
( , ) ◦ Carrier ( , )&( , ) & ( , )&( , )&
( , ) Cover your paper as you do this!
Battleship
Take turns (rock paper scissor who goes first)
X-hit 0- miss Mark for both your battle zone and your
opponents If a player says an ordered pair twice they
loose a turn If you get a hit you keep guessing until you
miss.
Cartesian Battleship
Objective is to sink all of your opponents ships
Both you and your opponent will turn in your graphs for class work points.
Cartesian Battleship
Cartesian BattleshipPlease follow directions and be honest!
x
yDirections1) Draw
your ships in your battle zone2) List the coordinates of your ships3) Pick a command4) Mark your sheet
CommandUse a
radar on an axis or quadrantFire at a coordinate