Recognize different “classic types of graphs” Recognize how the manipulated variable (x) causes a change in the respondi

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# Recognize different “classic types of graphs” Recognize how the manipulated variable (x) causes a change in the respondi - PowerPoint PPT Presentation

AIM: What are some characteristics of graphs? . OBJECTIVES. Recognize different “classic types of graphs” Recognize how the manipulated variable (x) causes a change in the responding variable (y). AIM: What are characteristics of of line graphs?.

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Presentation Transcript

OBJECTIVES

Recognize different “classic types of graphs”

Recognize how the manipulated variable (x) causes a change in the responding variable (y)

Vocabulary

Best fit graph

Inversely (indirectly) proportional

Directly proportional

DEFINITION:

• a LINE GRAPH is a diagram which shows how changing one variable
• (the manipulated variable) X,
• causes a second (or responding) variable Y to also change in response.

EXAMPLE: Number of Frog Croaks

• Air Temp # of Croaks per minute
• 22 12
• 23 14
• 24 15
• 25 16
• 26 17
• 31 21
• 32 26

GRAPH IT!

Don't forget your labels and the title!

30

20

# Croaks per per minute

15

10

22 23 24 25 26 27 28 29 30 31 32

AIR TEMPERATURE Degrees C

30

20

# Croaks per per minute

15

10

22 23 24 25 26 27 28 29 30 31 32

AIR TEMPERATURE Degrees C

30

20

# Croaks per per minute

15

10

22 23 24 25 26 27 28 29 30 31 32

AIR TEMPERATURE Degrees C

30

20

# Croaks per per minute

15

10

22 23 24 25 26 27 28 29 30 31 32

AIR TEMPERATURE Degrees C

30

20

# Croaks per per minute

15

10

22 23 24 25 26 27 28 29 30 31 32

AIR TEMPERATURE Degrees C

Line Graphs: Allow you to estimate trends: “As temperature increases what is happening to the number of croaks?”

25

20

# Croaks per per minute

15

10

22 23 24 25 26 27 28 29 30 31 32

AIR TEMPERATURE Degrees C

Line Graphs: Allow you to estimate trends: “As temperature decreases what is happening to the number of croaks?”

25

20

# Croaks per per minute

15

10

22 23 24 25 26 27 28 29 30 31 32

AIR TEMPERATURE Degrees C

Three Types of Line Graphs
• Best Fit
• Direct
• Indirect

Line Graphs “Best Fit Graphs”

• Normally, best first graphs are only done when the directions explicitly indicate to construct a “best fit graph”

AIM: What is a line graph?

Line Graphs:

Inverse Proportional vs. Directly Proportional Graphs!

GRAPH THIS:

.5 50

1 75

1.5 85

2 90

3 100

GRAPH THIS:

1 100

2 90

3 85

4 75

5 60

What is the difference between these two graphs?

As X increases, Y decreases

Slopes Downward

Indirectly or Inversely Proportional

As X increases, Y increases

Slopes Upward

Directly Proportional

AIM: What is a Line Graph?

Class ACTIVITY:

Creating Line Graphs page 67

Homework:

INTERNET QUESTIONS

AIM: What is a line graph?