Rate & Accumulation Yr 4 Much&Fast

Terry Lee Lindenmuth, Jun 30, 2017

(N-Q 1,2,3) Reason quantitatively and use units to solve problems (A-CED 2) Create equations that describe numbers or relationships (F-IF 4,6) Interpret functions that arise in applications in terms of the context (F-IF 7,9) Analyze functions using different representations (F- TF 3,4) Extend the domain of trigonometric functions using the unit circle What is the relationship between rate graphs and accumulation graphs? How can we use derivatives & integrals to connect accumulation and rate of growth? How can we find the volume of a pyramid and determine how a solar collector accumulates energy?


  • 1. BDD Volume of Pyramid Approximation by Layers
  • 2. BDG PoolTable 6By10
  • 3. BDG Pool Table : 6X6, 6X7, 6X8, 6X9, 6X10
  • 4. BDG Pool Table 3X3, 3X4,3X5, 3X6
  • 5. BDJ Visual Room: 8 by 10 and 7 high
  • 6. 251v0 Two Graphs of Rate, Time, Amount
  • 7. BEC What's Watt Solution
  • 8. BED Electrical Meter Solution
  • 9. BEE Tilted Duct
  • 10. 255 Tilted Duct Collecting Rain
  • 11. BEE Tilted Duct Q4
  • 12. Tilt the Duct
  • 13. p255 Reverse Tilted Duct Collecting Rain Water (RED)
  • 14. BEFv2 Sun Collected by Solar Panel During Day
  • 15. BEGv4 Sun Collected by Solar Panel During Day
  • 16. BEG_V6 Rate & Accumulation
  • 17. Estimation of Area Under a Curve Using "n" Rectangles
  • 18. Accumulation of Rate Graph : More Rectangles
  • 19. Trapezoid and Riemann Sum of Area Under Curve
  • 20. Area Under a Function: Riemann, Trapezoid, Integral
  • 21. BEI How Fast
  • 22. BFA Time-Height of Free Fall & Instantaneous Speed
  • 23. IMP4 p261z
  • 24. p261zz Approximation of Slope of Function
  • 25. 263BFC Basic Derivatives as Slopes at a Point
  • 26. Trace the Derivative of a Function
  • 27. 264BFD Functions and their Tangent Lines
  • 28. 265BFE Summer Jobs
  • 29. 268BFH Water Down the Drain
  • 30. 269BFI Zero to Sixty
  • 31. 271BGA Area & Distance
  • 32. 272BGB Relationship Speed & Instantaneous Speed
  • 33. 273BGC Accumulation Function A(x) and A'(x)
  • 34. 275BGE Rate Area Increase per 1 Unit Change in L or W
  • 35. 275BGE Change in Volume per Unit Change W, D, H
  • 36. 276BGF Change in Volume Per Change in Unit of Depth
  • 37. 278BGH Filling a Upside-Down Pyramid with Water
  • 38. 278BGH Volume of Upside-Down Pyramid with Water
  • 39. 278BGH Upside-Down Pyramid: Rate & Accumulation
  • 40. BHJ New Angle - Definition of a RADIAN
  • 41. Definition of Radian
  • 42. Unit Circle in Radians & Degrees
  • 43. Quick Start Trig Grid
  • 44. Trig Grid Square
  • 45. Binomial 200 Random Samples to Normal Distribution
  • 46. Standard Normal Curve
  • 47. C0402X48Quadratic
  • 48. Lab: Estimate the derivative of the cosine function.
  • 49. Lab: Estimate the derivative of the sine function.
  • 50. C0201 Trace Derivative of a Trig. Function

1.

BDD Volume of Pyramid Approximation by Layers

Estimate the volume of a square pyramid using unit layers. (Square 10X10 and 10 high)
– Terry Lee Lindenmuth

2.

–

3.

–

4.

–

5.

–

6.

–

7.

–

8.

–

9.

–

10.

–

11.

–

12.

–

13.

–

14.

–

15.

–

16.

–

17.

–

18.

–

19.

–

20.

–

21.

–

22.

–

23.

–

24.

–

25.

–

26.

–

27.

–

28.

–

29.

–

30.

–

31.

–

32.

–

33.

–

34.

–

35.

–

36.

–

37.

–

38.

–

39.

–

40.

–

41.

–

42.

–

43.

–

44.

–

45.

–

46.

–

47.

–

48.

–

49.

–

50.

–

Information