1. The Slope “Rate of Change”

2. The Rate of Change Slope = 0 No rate of change Rise = 0, Run = (whatever) Flat Surface Yawn!! Zzzz... No (zero) Slope = No Rate of Change

3. I might want to move… Small Slope = Slow Rate of Change Slope = 1/3 Small rate of change Rise = 1, Run = 3 Slight Downhill

4. Slope = 5 Bigger rate of change Rise = 10, Run = 2 Steep Downhill YIKES!! RUN!! HA HA! Large Slope = Fast Rate of Change

5. Infinite (∞) Slope = No Rate of Change The Slope never touches the ball, so it has no affect on the ball. No affect means no rate of change. It’s called “Undefined” Looks like a cliff

6. Recap No (Zero) Slope = No Rate of Change Small Slope = Slow Rate of Change Large Slope = Fast Rate of Change Infinite (∞) Slope = “Undefined” (No Effect) Slope = 0Slope = ⅓Slope = 5Slope = ∞ No ChangeSmaller ChangeBigger ChangeUndefined Change Flat SurfaceSlight Downhill (or Uphill) Steep Downhill (or Uphill) A Cliff Rise = 0 = Flat Surface Usually when Rise < Run Usually when Rise > Run Run = 0 = Cliff

7. Uphill or Downhill? Positive Slopes are UPHILL Negative Slopes are DOWNHILL

8. Slope Describe the next few slope values as: a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d)Cliff, ∞ slope, Undefined Change

9. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Small Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Click on the Correct Answer)

10. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Is the Rise = 0?)

11. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Rise > Run?)

12. Questions (Part I) a) Flat Surface, Zero Slope, No Change b)Slight Up/Downhill, Small Slopes Smaller Change c)Steep Up/Downhill, Large Slopes Bigger Change d) Cliff, ∞ slope, Undefined Change (Is the Run = 0?)

13. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Notice how Rise < Run)

14. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Click on the Correct Answer)

15. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Is the Rise = 0?)

16. Questions (Part I) a) Flat Surface, Zero Slope, No Change b)Slight Up/Downhill, Small Slopes Smaller Change c)Steep Up/Downhill, Large Slopes Bigger Change d) Cliff, ∞ slope, Undefined Change (Is the Run = 0?)

17. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Is Rise < Run?)

18. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Notice how Rise > Run)

19. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Click on the Correct Answer)

20. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Is the Rise > Run?)

21. Questions (Part I) a) Flat Surface, Zero Slope, No Change b)Slight Up/Downhill, Small Slopes Smaller Change c)Steep Up/Downhill, Large Slopes Bigger Change d) Cliff, ∞ slope, Undefined Change (Is the Run = 0?)

22. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Is Rise < Run?)

23. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Notice how Rise = 0)

24. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Click on the Correct Answer)

25. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Is the Rise > Run?)

26. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Is Rise < Run?)

27. Questions (Part I) a) Flat Surface, Zero Slope, No Change b) Slight Up/Downhill, Small Slopes, Smaller Change c) Steep Up/Downhill, Large Slopes, Bigger Change d) Cliff, ∞ slope, Undefined Change (Is Rise = 0?)

28. Questions (Part I) a) Flat Surface, Zero Slope, No Change b)Slight Up/Downhill, Small Slopes Smaller Change c)Steep Up/Downhill, Large Slopes Bigger Change d) Cliff, ∞ slope, Undefined Change (Notice how the Run = 0)

29. Questions (Part II) Identify each of the following slope values as either: a)Going Uphill(U) Or b) Going Downhill(D)

30. Select (U)phill or (D)ownhill U D U D U D U D U D U D 1) 2) 3) 4) 5) 6)

31. Select (U)phill or (D)ownhill Is the slope positive or negative? (click on “doh” to try again) U D U D U D U D U D U D 1) 2) 3) 4) 5) 6)

32. Select (U)phill or (D)ownhill U D U D U D U D U D U D 1) 2) 3) 4) 5) 6)

33. Select (U)phill or (D)ownhill U D U D U D U D U D U D Is the slope positive or negative? (Click on “doh” to try again) 1) 2) 3) 4) 5) 6)

34. Select (U)phill or (D)ownhill U D U D U D U D U D U D 1) 2) 3) 4) 5) 6)

35. Select (U)phill or (D)ownhill U D U D U D U D U D U D Is the slope positive or negative? (Click on “doh” to try again) 1) 2) 3) 4) 5) 6)

36. Select (U)phill or (D)ownhill U D U D U D U D U D U D 1) 2) 3) 4) 5) 6)

37. Select (U)phill or (D)ownhill U D U D U D U D U D U D Is the slope positive or negative? (Click on “doh” to try again) 1) 2) 3) 4) 5) 6)

38. Select (U)phill or (D)ownhill U D U D U D U D U D U D 1) 2) 3) 4) 5) 6)

39. Select (U)phill or (D)ownhill U D U D U D U D U D U D Is the slope positive or negative? (Click on “doh” to try again) 1) 2) 3) 4) 5) 6)

40. Select (U)phill or (D)ownhill U D U D U D U D U D U D 1) 2) 3) 4) 5) 6)

41. Select (U)phill or (D)ownhill U D U D U D U D U D U D Is the slope positive or negative? (Click on “doh” to try again) 1) 2) 3) 4) 5) 6)

42. Select (U)phill or (D)ownhill U D U D U D U D U D U D 1) 2) 3) 4) 5) 6)

43. In Conclusion Bigger Numbers = Steeper Slopes (Bigger Change) Zero Slope = Flat Line (No Change) Infinite Slope = Cliff (Undefined Change) Positive Slope = Uphill Negative Slope = Downhill

44. Homework