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Order of Integers

Order of Integers
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2024-06-13 18:24
In collections Ordnen und Vergleichen von rationalen Zahlen Ordnen und Vergleichen von ganzen Zahlen
This example demonstrates the order of integers and how to compare and sort them. The core math concepts involved include the definition of integers, the order of integers, and comparing integers. The construction points include using GeoGebra's Sequence, Textfield, and SpeechBubbleLeft commands. This example is suitable for middle school math education, particularly for teaching integers and numb

GeoGebra Commands & Parameters

  1. Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {7, 5, 5, 7, 10, 9, 8, 3, 3, 4}
  2. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
  3. Textfield(input) → inputBox
  4. If(step ≟ 4.5, 13.5, 13) → sbwidth5
  5. SpeechBubbleLeft(PosSB, sbwidth, sbheight) → poly1
  6. Sequence(Origin + (((-lengthAxis)) / 2, 0) + ((k * lengthAxis / 10), 0), k, 0, 10) → AxisPoints
  7. Segment(Origin + (((-lengthAxis)) / 2 - edge, 0), Origin + (lengthAxis / 2 + edge, 0)) → AxisZ
  8. Sequence(Segment[AxisPoints(k) + (0, ((-lengthSeg)) / 2), AxisPoints(k) + (0, lengthSeg / 2)], k, 1, Length[AxisPoints]) → AxisSeg
  9. Segment(Origin + (((-lengthAxis)) / 10, 1.5), Origin + ((-4 * lengthAxis / 10), 1.5)) → segK
  10. Segment(Origin + (lengthAxis / 10, 1.5), Origin + ((4 * lengthAxis / 10), 1.5)) → segG
  11. Sequence(Midpoint[AxisPoints(k), AxisPoints(k + 1)], k, 1, Length[AxisPoints] - 1) → MidpointList
  12. Point(PointPList) → PointP
  13. If(step ≠ 6 ∧ step ≠ 7, 5, IndexOf[PointP, PointPList] - 5.5) → pos
  14. SelectedIndex(dropdown41) → index41
  15. SelectedIndex(dropdown42) → index42
  16. SelectedIndex(dropdown51) → index51
  17. SelectedIndex(dropdown52) → index52
  18. PolyLine(PosSB, PosSB + (0.8, 0.3), PosSB + (sbwidth, 0.3), PosSB + (sbwidth, 0.8 + sbheight + 0.2), PosSB + (0.2, 0.8 + sbheight + 0.2), PosSB + (0.2, 1), PosSB) → sb06
  19. Polygon(PointP, PointP + (0.66, 0), PointP + (0.66, -0.6), PointP + (0, -0.6)) → polyS, pointp, f, g, h
  20. SelectedIndex(dropdown61) → index61
  21. Text("\textsf{links}", Origin + ((-4 * lengthAxis / 10) - 0.1, 1.62), false, true, -1, 0) → CapLinks
  22. Text("$\textsf{rechts}$", Origin + ((4 * lengthAxis / 10) + 0.1, 1.62), false, true, 1, 0) → CapRechts
  23. SelectedIndex(dropdown4b1) → index4b1
  24. SelectedIndex(dropdown4b2) → index4b2
  25. If(step ≟ 4, correctdd41 ∧ correctdd42, true, step ≟ 4.5, correctdd4b1 ∧ correctdd4b2, step ≟ 5, correctdd51 ∧ correctdd52, step ≟ 6, activateBtnNext, step ≟ 7, correctdd61) → clickableBtnNext
  26. Sequence(Text[(((((("\textsf{\textcolor{" * If[pos + 0.5 ≟ k ∨ pos - 0.5 ≟ k, ggbBlue, k ≟ 0 ∧ step ≟ 4.5, "#DB6114", "#000000"]) * "}{") * If[pos + 0.5 ≟ k ∨ pos - 0.5 ≟ k ∨ k ≟ 0 ∧ step ≟ 4.5, "\bold{", "{"]) * "\(") * k) * "\)}}}"), AxisPoints(k + 6) + (If[k < 0, -0.17, 0], ((-lengthSeg)) / 2), false, true, 0, -1], k, -5, 5, 1) → AxisCap
  27. Vector(PointP + (0.25, -1.5), PointP + (0.25, -0.55)) → vZiehMich
  28. Text("$\textsf{Zieh mich!}$", PointP + (0.5, -1.4), false, true, 0, -1) → CapZiehMich
  29. Text("\textsf{\bold{kleiner}}", Midpoint[segK], false, true, 0, 1) → CapK
  30. Text("\textsf{\bold{größer}}", Midpoint[segG], false, true, 0, 1) → CapG