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Ordnungskette - Level 1: Integer Comparison and Sorting with GeoGebra

Ordnungskette - Level 1: Integer Comparison and Sorting with GeoGebra
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2024-06-13 18:26
Geometric Construction
In collections Ordnen und Vergleichen von ganzen Zahlen
This example demonstrates how to compare and sort integers using a number line in GeoGebra. Key mathematical concepts include integer comparison, number line application, and interpreting integers in real-world contexts. Construction involves commands like Join, Shuffle, Polygon, IsInRegion, Sequence, and Sort to create the number line and integer points, and to perform sorting and region checks. Suitable for elementary students in grades 5-6 to practice integer comparison and sorting, while developing geometric intuition and mathematical thinking.

GeoGebra Commands & Parameters

  1. Join(Sequence[Shuffle[{1, 2}], k, 1, 50]) → ModusListe
  2. Shuffle({1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}) → RandoNumListe, {11, 2, 3, 10, 9, 6, 1, 7, 13, 4, 15, 12, 8, 5, 14}
  3. Polygon(Q1E1, Q1E2, 4) → Box1, f, g, h, i, Q1E3, Q1E4
  4. IsInRegion(PosZettel4, Box1) → Z4inB1
  5. IsInRegion(PosZettel2, Box1) → Z2inB1
  6. IsInRegion(PosZettel1, Box1) → Z1inB1
  7. IsInRegion(PosZettel3, Box1) → Z3inB1
  8. Polygon(Q2E1, Q2E2, 4) → Box2, j, k, l, m, Q2E3, Q2E4
  9. IsInRegion(PosZettel4, Box2) → Z4inB2
  10. IsInRegion(PosZettel2, Box2) → Z2inB2
  11. IsInRegion(PosZettel1, Box2) → Z1inB2
  12. IsInRegion(PosZettel3, Box2) → Z3inB2
  13. Polygon(Q3E1, Q3E2, 4) → Box3, n, p, q, r, Q3E3, Q3E4
  14. IsInRegion(PosZettel4, Box3) → Z4inB3
  15. IsInRegion(PosZettel2, Box3) → Z2inB3
  16. IsInRegion(PosZettel1, Box3) → Z1inB3
  17. IsInRegion(PosZettel3, Box3) → Z3inB3
  18. Polygon(Q4E1, Q4E2, 4) → Box4, s, t, a, b, Q4E3, Q4E4
  19. IsInRegion(PosZettel4, Box4) → Z4inB4
  20. IsInRegion(PosZettel2, Box4) → Z2inB4
  21. IsInRegion(PosZettel1, Box4) → Z1inB4
  22. IsInRegion(PosZettel3, Box4) → Z3inB4
  23. Shuffle({1, 2}) → ZufallslisteZettel1, {2, 1}
  24. Shuffle({1, 2}) → ZufallslisteZettel2, {1, 2}
  25. Shuffle({1, 2}) → ZufallslisteZettel3, {2, 1}
  26. Shuffle({1, 2}) → ZufallslisteZettel4, {1, 2}
  27. Sequence(RandomElement[Join[{-100…-1, -100…100}]], k, 1, 100) → GZList1, {-1, -71, -81, -44, -97, 14, -3, 93, -31, 11, -49, 76, -96, -97, -59, -22, 5, -27, 70, -48, -35, -65, -85, 68, -18, 83, 30, 82, -19, -43, -30, -23, -67, -85, -34, 53, -75, -71, -45, 85, 91, -87, 82, 65, -43, -40, -84, -5, -38, -26, 1, -9, 58, -1, -9, -6, -97, -49, -37, -36, 14, -68, -6, -2, 92, -75, 28, -66, 59, -43, -68, 7, 11, -24, -68, -80, 67, -72, -20, 80, -90, -53, -86, 64, -60, 76, -79, -70, -10, -85, -10, -53, -51, -33, 34, -14, -70, 85, -39, 38}
  28. Sequence(RandomElement[Join[{Remove[-100…-1, {GZList1(k)}], Remove[-100…100, {GZList1(k)}]}]], k, 1, 100) → GZList2, {65, -36, 71, -61, -28, 15, 82, -15, 12, 64, -44, 71, -40, -69, -49, -14, -43, -7, 99, 86, -76, -82, -75, -36, -34, -87, 9, 3, -22, 70, -15, -30, 33, -72, -39, -53, 97, -33, 7, 23, 60, -4, -71, -15, -75, -87, -59, 69, -98, -44, 91, -20, -67, -54, -86, 96, 10, -83, -76, -20, -40, 79, 25, -10, -46, -57, 65, 96, 99, 26, -66, -52, -35, -97, -44, -47, -38, -29, 67, -91, -75, -55, -41, 1, 6, 12, -73, 74, -16, 4, 66, -91, -75, 43, -13, -71, 49, -72, -36, -74}
  29. Sequence(RandomElement[Join[{Remove[-100…-1, {GZList1(k), GZList2(k)}], Remove[-100…100, {GZList1(k), GZList2(k)}]}]], k, 1, 100) → GZList3, {-90, -86, 55, -35, -17, 97, 5, -51, -79, 62, 46, -13, -74, 90, -81, 61, 24, -93, -94, -43, -18, -29, -78, 97, 18, 46, -29, -67, -6, 38, -87, -11, -39, -67, -8, 61, 56, 52, 35, 19, 1, -20, -59, 81, -59, 49, -19, 82, -100, -87, -94, -23, 92, -15, -58, -22, 72, -31, -16, -21, 24, 21, 52, 10, -68, 50, -46, 65, 82, -96, -22, -89, -31, 38, -14, 63, -83, 19, 9, -27, 84, -50, -15, -67, -97, -83, -6, -98, -6, -41, -96, -52, 80, -65, -36, -31, -2, -46, -3, 48}
  30. Sequence(RandomElement[Join[{Remove[-100…-1, {GZList1(k), GZList2(k), GZList3(k)}], Remove[-100…If[CountIf[a > 0, a, {GZList1(k), GZList2(k), GZList3(k)}] > 2, -1, 100], {GZList1(k), GZList2(k), GZList3(k)}]}]], k, 1, 100) → GZList4, {72, 23, -91, -12, -38, -41, -92, -44, -49, -66, -3, 22, -77, -51, -13, 12, -20, 4, -27, -20, 10, -54, 41, 99, -53, -4, -45, -62, -96, -94, -20, -62, 46, 1, 1, -68, -55, 87, 66, -16, -24, -78, 23, 80, -15, -2, -71, -72, -66, -18, -85, -65, -61, 79, -46, -13, -85, -93, -12, -61, -17, -81, 84, 98, -56, 83, 5, -8, -14, -76, -13, -27, -62, 97, 79, -78, 76, 29, -78, -12, 39, -66, -79, 75, -44, -50, 15, -78, -76, -32, -41, -1, -66, 10, 80, -42, -41, -17, -53, 54}
  31. Sort({GZ1, GZ2, GZ3, GZ4}) → Reihenfolge1
  32. Reverse(Reihenfolge1) → Reihenfolge2
  33. If(Z1inB1, 1, Z2inB1, 2, Z3inB1, 3, Z4inB1, 4, NaN) → BT1
  34. If(Z1inB2, 1, Z2inB2, 2, Z3inB2, 3, Z4inB2, 4, NaN) → BT2
  35. If(Z1inB3, 1, Z2inB3, 2, Z3inB3, 3, Z4inB3, 4, NaN) → BT3
  36. If(Z1inB4, 1, Z2inB4, 2, Z3inB4, 3, Z4inB4, 4, NaN) → BT4
  37. Sequence(IndexOf[If[modus ≟ 1, Reihenfolge1(k), Reihenfolge2(k)], ZahlenListe], k, 1, 4) → ReihenfolgeKorrekt
  38. Polygon(Z1VieleckE1, Z1VieleckE2, Zettel1Anchor_1, Z1VieleckH, Z1VieleckE3, Z1VieleckE4) → Vieleck1, z1vielecke1, z1vielecke2, zettel1anchor_1, z1vieleckh, z1vielecke3, z1vielecke4
  39. Polygon(Z2VieleckE1, Z2VieleckE2, Zettel2Anchor_1, Z2VieleckH, Z2VieleckE3, Z2VieleckE4) → Vieleck2, z2vielecke1, z2vielecke2, zettel2anchor_1, z2vieleckh, z2vielecke3, z2vielecke4
  40. Polygon(Z3VieleckE1, Z3VieleckE2, Zettel3Anchor_1, Z3VieleckH, Z3VieleckE3, Z3VieleckE4) → Vieleck3, z3vielecke1, z3vielecke2, zettel3anchor_1, z3vieleckh, z3vielecke3, z3vielecke4
  41. Polygon(Z4VieleckE1, Z4VieleckE2, Zettel4Anchor_1, Z4VieleckH, Z4VieleckE3, Z4VieleckE4) → Vieleck4, z4vielecke1, z4vielecke2, zettel4anchor_1, z4vieleckh, z4vielecke3, z4vielecke4
  42. Text(FeedbackText, A, false, true, 0) → Text3
  43. Text((("\textsf{\(" * GZ1) * "\)}"), Midpoint[Z1VieleckE1, Z1VieleckE3], false, true, 0, 0) → GZ1Text
  44. Text((("\textsf{\(" * GZ2) * "\)}"), Midpoint[Z2VieleckE1, Z2VieleckE3], false, true, 0, 0) → GZ2Text
  45. Text((("\textsf{\(" * GZ3) * "\)}"), Midpoint[Z3VieleckE1, Z3VieleckE3], false, true, 0, 0) → GZ3Text
  46. Text((("\textsf{\(" * GZ4) * "\)}"), Midpoint[Z4VieleckE1, Z4VieleckE3], false, true, 0, 0) → GZ4Text
  47. Polygon(Q1E1, Q4E4, Q4E4 + (0, -7.75), Q1E1 + (0, -7.75)) → DDArea, q1e1, q4e4, c, d

AI Drawing Prompt Reference

Create an integer sorting practice interface with a number line. Generate four random integer labels on four draggable rectangular cards. Below, place four target boxes corresponding to sorting positions. Users drag cards into correct boxes; the system checks region containment and provides feedback. Numbers are randomly generated, and sorting order (ascending or descending) is randomly chosen. Include feedback text and rectangular drop zones.
The prompt above was compiled from the original drawing commands and is for reference only.