Aim: Introduction to Coord. Geo. Course: Applied Geo.

Do Now: Your ticket for the Opera is D3. Can you locate your seat?

Aim: How does plotting points on

Coordinate Axes help us find our way.

D

C

B

A

1 2 3 4 5

Aim: Introduction to Coord. Geo. Course: Applied Geo.

Coordinate Geometry

1st measure

2nd measure

Music and Coordinate Geometry

4

4

Aim: Introduction to Coord. Geo. Course: Applied Geo.

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

Graph each number: -4, -7, 3,

Positive numbersNegative numbers

7

-7 7 Opposites

The Number Line

Aim: Introduction to Coord. Geo. Course: Applied Geo.

The Coordinate Plane

x abscissa

y ordinate

Origin (0, 0)

1 2 3 4 5 6 7 8 9-3-4 -1-2-5-6

1

2

3

4

5

6

7

8

9

-1

-2

-3

-4

-5

-6

-7

-8

-9

Quadrant I

(4, 5)

(7, 0)

(0, 4)(-4, 5)

(-6, 0)

x,yOrdered

Pair

(-5, -4)

(0, -3)

(6, -5)

Quadrant II

Quadrant IVQuadrant III

(x, y)(-x, y)

(-x, -y) (x, -y)

Aim: Introduction to Coord. Geo. Course: Applied Geo.

Terminology

(x, y) – an ordered pair of real numbers - names each and every point on the coordinate plane.

(x, y)x

listed first and represents the

horizontal distance for the origin

y listed second

and represents the vertical distance for the origin

(3.1234, -5.305)

Aim: Introduction to Coord. Geo. Course: Applied Geo.

Model Problem

8

6

4

2

-2

-4

-5 5

Name the coordinate points

Aim: Introduction to Coord. Geo. Course: Applied Geo.

Model Problem

Name a coordinate point in

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Aim: Introduction to Coord. Geo. Course: Applied Geo.

Model Problem

x

y

1 2 3 4 5 6 7 8 9-3-4 -1-2-5-6

1

2

3

4

5

6

7

8

9

-1

-2

-3

-4

-5

-6

-7

-8

-9

Plot the following ordered pairs: (3,3), (-4,3), (-4,-3), and (3,-3). Connect the four points. What shape is the resulting figure? Can you find the area?

(-4,-3) (3,-3)

(-4,3) (3,3)

Rectangle

A = (7)(6) = 42 units2.

7

6

A = lw

Aim: Introduction to Coord. Geo. Course: Applied Geo.

Model Problem

Find the perimeter and area of the polygon formed by the coordinates (-6,-2), (7, -2), (7, 5), and (-6, 5).

8

6

4

2

-2

-4

-6

-5 5

Aim: Introduction to Coord. Geo. Course: Applied Geo.

Model Problem

Find the area of the polygon formed by the coordinates A(-2, 5), B(2, -2), and (-5, -2).

8

6

4

2

-2

-4

-6

-5 5