(X,Y) Coordinate System

ASAUCE

Objective: Plot points in the 4 quadrants to create lines by making a t-table of certain function.

Purpose: Needed skills for high school

Objective

212.4192.2

162.8

Histogram of Speed of a Race Car

00

72.71

129.92

Time inSeconds

Speed inMiles per Hour

3 162.8

4 192.2

5 212.4

6 228.1

250

200

150

100

50

0Sp

eed

in

(m

iles

per

ho

ur)

0 1 2 3 4 5 6Time (seconds)

Visually

0

72.2

228.1

129.9

Go on to see the data plotted as points on a grid.

Scatter Diagram and Line Graph

250

200

150

100

50

00 1 2 3 4 5 6

Sp

eed

in

(m

iles

per

ho

ur)

Time (seconds)

Speed of a Race Car

00

72.71

129.92

Time inSeconds

Speed inMiles per Hour

3 162.8

4 192.2

5 212.4

6 228.1

Scatter Diagram and Line Graph

Positions Value

1 1

2 4

3 9

4 16

5 25

25

20

15

10

5

00 1 2 3 4 5

Val

ue

Position in sequence

Line Segments between (1, 1) and (5, 25)

Sequence of Squares

X

Y

positive x-values

negative y-values

negative x-values

positive y-values

abscissa

ordinate

( x, y)

Quadrant IQuadrant II

Quadrant III Quadrant IV

Origin

x-axis

y-axis(+, +)(–, +)

(–, –) (+, –)

{ A(- 4, -3), B(-2, 5), C(0, 0), D(2, -7), E(5, 3) }

Example: Look at the set of Integers as ordered pairs

and put them on the grid.

x

y

A

B

D

E

C

A(- 4, -3) B(-2, 5) C(0, 0) D(2, -7) E(5, 3)

.

Using T-Table to Graph Lines

X Y

1 1

2 3

3 5

4 7

5 9

0 1 2 3 4 5Y

X

10

8

6

4

2

01

3

5

7

9

THEEND