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

3. Best fit graph Inversely (indirectly) proportional Directly proportional AIM: What are characteristics of of line graphs?

4. 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.

5. EXAMPLE: Number of Frog Croaks Ai r Temp# of Croaks per minute 2212 2314 2415 2516 2617 3121 3226

7. Step One: Draw your axis:

8. Step Two: label your axis: AIR TEMPERATURE Degrees C 22 23 24 25 26 27 28 29 30 31 32 # Croaks per per minute 10 15 20 30

9. Step Three: Plot your Points AIR TEMPERATURE Degrees C 22 23 24 25 26 27 28 29 30 31 32 # Croaks per per minute 10 15 20 30

10. Step Four: Draw your Line AIR TEMPERATURE Degrees C 22 23 24 25 26 27 28 29 30 31 32 # Croaks per per minute 10 15 20 30

11. Step Four: Draw your Line AIR TEMPERATURE Degrees C 22 23 24 25 26 27 28 29 30 31 32 # Croaks per per minute 10 15 20 30

12. Step Four: Draw your Line AIR TEMPERATURE Degrees C 22 23 24 25 26 27 28 29 30 31 32 # Croaks per per minute 10 15 20 30

13. Line Graphs: Allow you to estimate trends: “As temperature increases what is happening to the number of croaks?” AIR TEMPERATURE Degrees C 22 23 24 25 26 27 28 29 30 31 32 # Croaks per per minute 10 15 20 25

14. Line Graphs: Allow you to estimate trends: “As temperature decreases what is happening to the number of croaks?” AIR TEMPERATURE Degrees C 22 23 24 25 26 27 28 29 30 31 32 # Croaks per per minute 10 15 20 25

15. Three Types of Line Graphs Best Fit Direct Indirect

16. 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?

22. Line Graphs: Inverse Proportional vs. Directly Proportional Graphs!

23. GRAPH THIS: Hours of StudyGrade.550 175 1.585 290 3100

25. GRAPH THIS: Hours of TVGrade 1100 290 385 475 560

26. Hours of TV vs. Grades on Test

27. What is the difference between these two graphs? As X increases, Y increases Slopes Upward Directly Proportional As X increases, Y decreases Slopes Downward Indirectly or Inversely Proportional Hours of TV vs. Grade

28. Class ACTIVITY: Creating Line Graphs page 67 AIM: What is a Line Graph?

29. Homework: INTERNET QUESTIONS AIM: What is a line graph?