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Writing Natural Number Sets

Writing Natural Number Sets
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2021-09-08 16:19
SequenceCoordinate GeometrySolid GeometryGeometric Construction
In collections Ⓔ Zahlenmengen
This GeoGebra example demonstrates how to write out natural number sets. It involves the core mathematical concepts of set theory and natural numbers. The construction points include using Shuffle, Element, If, Sequence, Textfield, Polygon, Segment, Circle, etc. GeoGebra commands and objects. This example is suitable for middle school or high school math classrooms, particularly for demonstrating the concepts of sets and natural numbers.

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[Random[1, 2], i, 1, 100]) → randomNosForBsp, {2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1}
  2. Shuffle(Sequence[(2 * n), n, 1, 3]) → randomNosFor1U, {4, 2, 6}
  3. Shuffle(Sequence[(2 * n) + 1, n, 1, 3]) → randomNosFor1G, {5, 3, 7}
  4. Element(randomNosForBsp, Mod[questionCount, 100] + 1) → bsp
  5. Shuffle(Sequence[Random[1, 2], i, 1, 100]) → randomNosForWort, {2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2}
  6. Element(randomNosForWort, Mod[questionCount, 100] + 1) → indexWort
  7. If(indexWort ≟ 1, Element[randomNosFor1G, Mod[questionCount, 100]], Element[randomNosFor1U, Mod[questionCount, 100]]) → numBsp1
  8. If(indexWort ≟ 2, Sequence[(2 * n) + 1, n, 0, numBsp1 / 2 - 1], Sequence[(2 * n), n, 0, numBsp1 / 2]) → solBsp1
  9. If(indexWort ≟ 1, Shuffle[Sequence[(2 * n) + 1, n, 1, 3]], Shuffle[Sequence[(2 * n), n, 1, 3]]) → randomNosFor2K
  10. Element(randomNosFor2K, Mod[questionCount, 100]) → numBsp2_1
  11. If(indexWort ≟ 1, Shuffle[Sequence[(2 * n) + 1, n, 4, 6]], Shuffle[Sequence[(2 * n), n, 4, 6]]) → randomNosFor2G
  12. Element(randomNosFor2G, Mod[questionCount, 100]) → numBsp2_2
  13. Sequence(numBsp2_1 + 1, numBsp2_2 - 1, 1) → solBsp2_2
  14. If(indexWort ≟ 2, Sequence[(2 * n) + 1, n, round(numBsp2_1 / 2), round(numBsp2_2 / 2) - 1], Sequence[(2 * n), n, round(numBsp2_1 / 2), floor(numBsp2_2 / 2)]) → solBsp2
  15. Shuffle(Sequence[Random[1, 2], i, 1, 100]) → randomNosForBsp2, {1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1}
  16. Element(randomNosForBsp2, Mod[questionCount, 100] + 1) → selectedBsp
  17. If(bsp ≟ 1, solBsp1, If[selectedBsp ≟ 1, solBsp2, solBsp2_2]) → chosenSolList
  18. Textfield(aInput) → InputBox1
  19. Textfield(bInput) → InputBox2
  20. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  21. Segment((-4.5, 4.4), (5.07, 4.4)) → f
  22. Sequence(Text["\textsf{" + (i) + "}", B + (0.08 + (0.8 * i), -0.7), true, true, -0, 0], i, 0, 12) → l1
  23. Sequence(Segment[((0.8 * i), 4.3), ((0.8 * i), 4.5)], i, -5.65, 6.6) → segs
  24. Circle(C, D) → c
  25. Circle(C_{1}, D_{1}) → c_{1}
  26. Circle(C_{2}, D_{2}) → c_{2}
  27. Circle(C_{3}, D_{3}) → c_{3}
  28. Circle(C_{4}, D_{4}) → c_{4}
  29. Circle(C_{5}, D_{5}) → c_{5}
  30. Circle(C_{6}, D_{6}) → c_{6}
  31. Circle(C_{7}, D_{7}) → c_{7}
  32. Circle(C_{8}, D_{8}) → c_{8}
  33. Circle(C_{9}, D_{9}) → c_{9}
  34. Circle(C_{10}, D_{10}) → c_{10}
  35. Circle(CLIPBOARDmagicSTRINGC_{7}, CLIPBOARDmagicSTRINGD_{7}) → CLIPBOARDmagicSTRINGc_{7}
  36. Circle(CLIPBOARDmagicSTRINGC_{1}, CLIPBOARDmagicSTRINGD_{1}) → CLIPBOARDmagicSTRINGc_{1}
  37. CountIf(x ≟ numBsp1, aInput) → grenzzahl1

AI Drawing Prompt Reference

Draw a graphic of natural number sets, including 100 random numbers, with different colors for odd and even numbers. First, generate a sequence of 1s and 2s randomly, then create sequences of odd and even numbers based on the sequence. Next, plot points to represent natural numbers. Then, draw a rectangle to indicate the range of numbers. Finally, use lines and circles to represent the set relationships, with odd and even numbers in different colors.
The prompt above was compiled from the original drawing commands and is for reference only.