1.6 (x, y) x y quadrants first quadrant second quadrant third quadrant fourth quadrant

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