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Select the Appropriate Numbers

Select the Appropriate Numbers
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2021-09-08 16:18
SequenceProbability & StatisticsGeometric Construction
In collections Ⓔ Zahlenmengen
This example demonstrates how to select appropriate numbers from a given list for operations, involving core math concepts like natural numbers, division, standard deviation, ratios, random number generation, and geometric constructions. It utilizes GeoGebra commands and objects such as Append, Remove, Shuffle, Element, Join, Textfield, Polygon, Line, Sequence, and Circle. Suitable for high school mathematics teaching, focusing on probability & statistics and geometric constructions.

GeoGebra Commands & Parameters

  1. Append(true, Sequence[If[name(i) ≟ name(i - 1), false, true], i, 2, 100]) → stayX
  2. Remove(Sequence[If[stayX(i), name(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → nameNoRepeat
  3. Shuffle({1, 2, 3, 4, 5, 6}) → randomNosForY, {1, 5, 6, 2, 4, 3}
  4. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  5. Shuffle(Sequence[Random[6, 9], i, 1, 100]) → bsp1b, {8, 8, 9, 9, 9, 9, 8, 6, 6, 7, 8, 6, 6, 8, 6, 9, 9, 9, 7, 6, 7, 6, 7, 6, 9, 9, 9, 8, 7, 8, 9, 6, 9, 9, 6, 8, 9, 8, 6, 8, 8, 8, 6, 6, 7, 9, 8, 9, 7, 7, 9, 7, 6, 9, 6, 6, 8, 6, 7, 8, 7, 6, 9, 8, 9, 8, 6, 9, 7, 7, 8, 6, 9, 6, 6, 6, 8, 9, 8, 9, 9, 6, 9, 7, 8, 7, 8, 7, 7, 9, 9, 8, 6, 9, 8, 7, 6, 9, 9, 9}
  6. Element(bsp1b, Mod[questionCount, 100] + 1) → num1b
  7. Shuffle(Sequence[Random[2, 4], i, 1, 100]) → bsp1a, {2, 4, 4, 4, 3, 3, 3, 2, 2, 2, 4, 3, 4, 2, 2, 4, 4, 2, 3, 4, 3, 4, 4, 2, 2, 3, 2, 2, 3, 2, 2, 3, 4, 3, 3, 3, 4, 3, 4, 2, 4, 4, 2, 2, 2, 4, 2, 4, 2, 2, 3, 4, 2, 4, 2, 3, 4, 3, 4, 3, 2, 4, 2, 2, 3, 4, 4, 2, 2, 4, 4, 4, 4, 2, 3, 2, 2, 3, 2, 2, 4, 4, 3, 2, 4, 2, 4, 3, 4, 3, 3, 4, 4, 4, 2, 2, 3, 2, 3, 2}
  8. Element(bsp1a, Mod[questionCount, 100] + 1) → num1a
  9. Join({{1}, listBsp}) → randomNosForX
  10. Shuffle(Sequence[Random[7, 13], i, 1, 100]) → bsp2a, {11, 11, 9, 13, 10, 12, 11, 9, 13, 8, 9, 10, 13, 12, 13, 12, 12, 9, 12, 13, 10, 13, 13, 13, 7, 13, 8, 13, 10, 8, 12, 9, 7, 8, 7, 7, 10, 8, 11, 11, 13, 7, 8, 9, 10, 10, 12, 8, 7, 8, 9, 10, 8, 8, 9, 7, 12, 8, 13, 12, 13, 7, 9, 11, 12, 10, 7, 8, 7, 11, 9, 12, 8, 11, 10, 10, 8, 8, 9, 7, 7, 7, 7, 7, 9, 7, 8, 10, 13, 7, 7, 12, 10, 11, 7, 11, 11, 10, 13, 11}
  11. Element(bsp2a, Mod[questionCount, 100] + 1) → num2a
  12. Shuffle(Sequence[Random[15, 18], i, 1, 100]) → bsp2b, {16, 18, 18, 17, 18, 16, 15, 17, 16, 15, 16, 16, 15, 15, 17, 15, 15, 18, 18, 15, 18, 17, 17, 16, 16, 15, 17, 18, 17, 15, 18, 16, 17, 16, 15, 18, 16, 15, 17, 17, 16, 17, 16, 16, 18, 18, 16, 16, 15, 18, 17, 15, 17, 18, 15, 17, 15, 17, 18, 16, 15, 18, 16, 17, 15, 18, 15, 15, 15, 16, 18, 16, 16, 15, 18, 16, 17, 18, 15, 18, 16, 15, 17, 16, 17, 15, 17, 16, 16, 17, 18, 18, 15, 15, 18, 17, 16, 17, 15, 17}
  13. Element(bsp2b, Mod[questionCount, 100] + 1) → num2b
  14. Shuffle(Sequence[Random[2, 4], i, 1, 100]) → bsp3a, {4, 2, 3, 3, 2, 2, 3, 3, 2, 3, 2, 3, 3, 2, 3, 2, 4, 2, 3, 3, 2, 3, 3, 4, 4, 4, 3, 2, 2, 3, 2, 3, 3, 2, 3, 4, 2, 2, 2, 4, 4, 4, 3, 2, 2, 4, 4, 2, 4, 3, 3, 4, 3, 3, 4, 3, 2, 2, 2, 3, 3, 2, 3, 4, 4, 3, 4, 3, 4, 3, 2, 3, 3, 2, 2, 4, 2, 2, 2, 2, 3, 2, 4, 3, 3, 2, 3, 3, 2, 2, 4, 4, 4, 3, 3, 2, 2, 3, 2, 4}
  15. Element(bsp3a, Mod[questionCount, 100] + 1) → num3a
  16. Shuffle(Sequence[Random[6, 7], i, 1, 100]) → bsp3b, {7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 7, 6, 6, 6, 6, 7, 7, 6, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 7, 6, 7, 6, 6, 7, 6, 7, 7, 6, 6, 7, 7, 7, 6, 7, 7, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 7}
  17. Element(bsp3b, Mod[questionCount, 100] + 1) → num3b
  18. Shuffle(Sequence[Random[9, 15], i, 1, 100]) → bsp4a, {14, 12, 13, 14, 13, 12, 15, 12, 15, 10, 10, 9, 10, 12, 12, 10, 11, 13, 9, 11, 12, 9, 14, 15, 14, 13, 14, 10, 15, 15, 12, 9, 13, 14, 15, 15, 13, 9, 14, 11, 13, 14, 13, 11, 15, 9, 15, 9, 10, 9, 13, 13, 12, 11, 14, 15, 13, 12, 12, 13, 11, 12, 12, 13, 14, 11, 15, 13, 13, 12, 10, 12, 14, 9, 10, 13, 11, 12, 11, 11, 13, 12, 11, 15, 9, 15, 15, 15, 14, 10, 14, 14, 14, 13, 13, 11, 9, 15, 12, 9}
  19. Element(bsp4a, Mod[questionCount, 100] + 1) → num4a
  20. Shuffle(Sequence[Random[17, 21], i, 1, 100]) → bsp4b, {21, 17, 18, 20, 17, 21, 20, 18, 20, 21, 17, 17, 21, 19, 21, 18, 17, 18, 18, 18, 20, 20, 21, 21, 17, 18, 20, 21, 18, 18, 20, 19, 20, 18, 17, 20, 21, 18, 17, 20, 18, 21, 19, 17, 18, 17, 17, 17, 20, 20, 21, 20, 17, 20, 17, 20, 20, 19, 17, 17, 18, 18, 21, 21, 17, 17, 19, 19, 18, 20, 18, 20, 19, 19, 18, 19, 20, 21, 20, 21, 20, 18, 20, 20, 21, 21, 18, 19, 19, 21, 19, 20, 18, 19, 19, 19, 20, 21, 19, 17}
  21. Element(bsp4b, Mod[questionCount, 100] + 1) → num4b
  22. Textfield(aInput) → InputBox1
  23. Textfield(bInput) → InputBox2
  24. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  25. Line(A, B) → f
  26. Sequence(numbers1(numX) + 1, numbers2(numX) - 1, 1) → sol
  27. Sequence(numbers1(numX) + 1, numbers2(numX) - 1, 1) → sol2
  28. Circle(K, L) → k1
  29. Circle(K_{1}, L_{1}) → k2
  30. Circle(K_{2}, L_{2}) → k3
  31. Circle(K_{3}, L_{3}) → k4
  32. Circle(K_{4}, L_{4}) → k5
  33. Circle(K_{5}, L_{5}) → k6
  34. Circle(K_{6}, L_{6}) → k7
  35. Circle(K_{7}, L_{7}) → k8
  36. Circle(K_{8}, L_{8}) → k9
  37. Circle(K_{9}, L_{9}) → k10
  38. Circle(K_{10}, L_{10}) → k11
  39. Circle(K_{11}, L_{11}) → k12
  40. Circle(K_{23}, L_{23}) → k1_{1}
  41. Circle(K_{22}, L_{22}) → k2_{1}
  42. Circle(K_{21}, L_{21}) → k3_{1}
  43. Circle(K_{20}, L_{20}) → k4_{1}
  44. Circle(K_{19}, L_{19}) → k5_{1}
  45. Circle(K_{18}, L_{18}) → k6_{1}
  46. Circle(K_{17}, L_{17}) → k7_{1}
  47. Circle(K_{16}, L_{16}) → k8_{1}
  48. Circle(K_{15}, L_{15}) → k9_{1}
  49. Circle(K_{14}, L_{14}) → k10_{1}
  50. Circle(K_{13}, L_{13}) → k11_{1}
  51. Circle(K_{12}, L_{12}) → k12_{1}

AI Drawing Prompt Reference

Draw a graph containing multiple circles and line segments. The graph has 12 circles, each representing a different number, with circle centers and radii generated by random numbers. The graph also contains multiple line segments connecting circle centers and points on the circle, forming multiple triangles and rectangles. The background color is white, and the color of the circles and line segments is randomly generated.
The prompt above was compiled from the original drawing commands and is for reference only.