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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 #2

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

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Page 1: 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

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

Page 2: 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

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

Page 3: 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

ANALYZE your DATA Identify your problem:

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

Page 4: 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

Step One: Draw your Axis

Y-axis

X-axis

Page 5: 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

Step Two: Label Your X Axis:

Y-axis

X-axisYears

1990 1992 1994 1996 1998 2000

Page 6: 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

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?

Page 7: 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

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

Page 8: 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

Step Three: Now Plot Your Points

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Page 9: 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

Step Four: Now Draw Your LINE

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Page 10: 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

Step Five: Title?

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Page 11: 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

Step Five: Years vs. Frogs

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

Page 12: 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

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?

Page 13: 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

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)

Page 14: 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

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

Page 15: 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

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)

Page 16: 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

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?

Page 17: 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

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)

Page 18: 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

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

This is called an EXTRAPOLATION

Page 19: 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

Y-axis

X-axisYears

FR

OG

S

1200900

15001800

600

2100

1990 1992 1994 1996 1998 2000

This is called an INTERPOLATION

Page 20: 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

Internet Questions: Line Graph #2