What Comes Next

• Here is a sequence of letters:

• O T  T  F  F  S  ____, _____, _____

• What 4 letters come next in this sequence?

• What does the sequence represent?

Solution

• The next four letters are S, E, N, and T.

• Each letter is the first letter of a number written in word form, the numbers being the sequence of natural numbers: One, Two, Three, Four, Five, Six, Seven, Eight, Nine, Ten.

3-3 The Coordinate Plane

Coordinate Planes

X-axis

Y-axis

QuadrantOne

QuadrantTwo

QuadrantThree

QuadrantFour

-4 -3 -2 -1 0 1 2 3 4

4

3

2

1

-1

-2

-3

-4

origin

4

3

2

1

-1

-2

-3

-4

-4 -3 -2 -1 0 1 2 3 4

An ordered pair is a pair of numbers used to locate a point on the coordinate plane.

The ordered pair is always listed with the x-coordinate then the y-coordinate. ( x, y) Ex. (5, -3)

QuadrantOne

( +, +)

QuadrantTwo

(-, +)

QuadrantThree

(-, -)

QuadrantFour

(+, -)

To read or write an ordered pair always locate the x coordinate first.

-4 -3 -2 -1 0 1 2 3 4X -Axis

( 1, )

4

3

2

1

-1

-2

-3

-4

Y axis

Then locate the y coordinate.

( 1, 3 )

The ordered pair at the origin is (0, 0)

What are the ordered pairs for these points?

4

3

2

1

-1

-2

-3

-4

-4 -3 -2 -1 0 1 2 3 4

(3,4)

(1,1)

(2, -2)

(0, -3)

(-4, 0)

(-3, 3)

Plot the following points on the coordinate plane.

(2, -4) (-1, -1) (3, 2) (-4, 3)

-4 -3 -2 -1 0 1 2 3 4

4

3

2

1

-1

-2

-3

-4

When will we use this?

• The coordinate plane is used to locate places on a map. Lines of latitude and longitude are used.

• Hurricane tracking uses the coordinate plane.

•The coordinate plane is used to plot points on a graph.

•There are 4 Quadrants in the coordinate plane.

•The x-axis is the horizontal axis, the y-axis is the vertical axis.

•Points are written as ordered pairs: (x, y).

•To locate a point on a graph locate the

x-coordinate first and then the y-coordinate.

Don’t Forget:

Homework- Lesson 3-3 # 2-22 evens