how to read, develop, and interpret graphs! observations: often are recorded in a data table. we...

How to Read, Develop, and Interpret GRAPHS!

OBSERVATIONS: often are recorded in a data table.

We INTERPRET our data table by making INFERENCES and

PREDICTIONS

One way to interpret is to ANALYZE data with GRAPHS

#2

What is the relationship between Frog and Years for the following example: GRAPH IT

YEAR ___# FROGS

1990 500

1992 600

1994 800

1995 900

1996 1200

1998 1800

ANALYZE your DATA Identify your problem:

What is the relationship between the years and the number of frogs

Step One: Draw your Axis

Y-axis

X-axis

Step Two: Label Your X Axis:

Y-axis

X-axisYears

1990 1992 1994 1996 1998 2000

Step Two: Now Label Your Y Axis:

Y-axis

X-axisYEARS

FR

OG

S

700600

800900

500

1000

1990 1992 1994 1996 1998 2000

Was there enough room to label your y axis completely for this problem?

Step Two: Now Label Your Y Axis:

Y-axis

X-axis

So, we have to change the SCALE of our Y-axis

YEARS

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Step Three: Now Plot Your Points

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Step Four: Now Draw Your LINE

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Step Five: Title?

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Step Five: Years vs. Frogs

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

What are the characteristics of the Red Point?

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

What is the x coordinate and the y coordinate of the red star?

(1991, 650)

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

What is the x coordinate and the y coordinate of the green dot

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

What are the characteristics of the Green Star?

(x=1997, y=1500 Frogs)

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

What would you estimate the frog population to be in 2000?

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

What would be the x and y coordinates for your prediction of the frog population in 2000?

(Jan 2000, 2100 frogs)

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

This is called an EXTRAPOLATION

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

This is called an INTERPOLATION

Internet Questions: Line Graph #2