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Ordering Integers on a Number Line

Ordering Integers on a Number Line
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2023-02-09 18:24
SequenceGeometric ConstructionSlider Animation
This example demonstrates how to arrange positive and negative integers on a number line from least to greatest. The key math concepts involve comparing and ordering integers. Construction uses GeoGebra commands like KeepIf, Shuffle, Sort, and others to manage integer objects. Suitable for grades 6-8 in math education to develop number sense.

GeoGebra Commands & Parameters

  1. KeepIf(y(P) ≠ 0, P, allPoints) → allOffPoints
  2. Shuffle(Join[{Sequence[t, t, -18, -3, 4], Sequence[t, t, 0, 18, 3]}]) → valAList, {12, -10, 6, 18, -14, -18, 9, -6, 0, 15, 3}
  3. Element(valAList, Mod[valCount, Length[valAList]] + 1) → valA
  4. Shuffle(Join[{Sequence[t, t, -18, -3, 4], Sequence[t, t, 0, 18, 3]}] \ {valA}) → valBList, {-18, 0, 15, -14, -10, 6, 12, -6, 3, 9}
  5. Element(valBList, Mod[valCount, Length[valBList]] + 1) → valB
  6. Shuffle(Join[{Sequence[t, t, -18, -3, 4], Sequence[t, t, 0, 18, 3]}] \ {valA, valB}) → valCList, {-6, 3, 15, 6, 0, -14, 12, -18, 9}
  7. Element(valCList, Mod[valCount, Length[valCList]] + 1) → valC
  8. Shuffle(Join[{Sequence[t, t, -18, -3, 4], Sequence[t, t, 0, 18, 3]}] \ {valA, valB, valC}) → valDList, {6, 0, -18, 15, 3, 12, 9, -6}
  9. Element(valDList, Mod[valCount, Length[valDList]] + 1) → valD
  10. Shuffle(Join[{Sequence[t, t, -18, -3, 4], Sequence[t, t, 0, 18, 3]}] \ {valA, valB, valC, valD}) → valEList, {12, 0, -18, 6, -6, 15, 3}
  11. Element(valEList, Mod[valCount, Length[valEList]] + 1) → valE
  12. Sort({valA, valB, valC, valD, valE}) → allSortedVal
  13. Length(textDummy) → lenDummy
  14. Sequence((k, y(S1)), k, x(S1), x(S2), Distance[S1, S2] / 100) → ptGrid
  15. Segment(S1, S2) → segmDec
  16. Segment(S1, S1 - (1, 0)) → arrowLeft
  17. Segment(S2, S2 + (1, 0)) → arrowRight
  18. Sequence(Segment[(t, y(S1) - 0.8), (t, y(S1) + 0.8)], t, x(S1), x(S2), 10) → longTicks1
  19. Sequence(Segment[(t, y(S1) - 0.5), (t, y(S1) + 0.5)], t, x(S1), x(S2), 5) → mediumTicks1
  20. Sequence(Segment[(t, y(S1) - 0.2), (t, y(S1) + 0.2)], t, x(S1), x(S2), 1) → shortTicks1
  21. Segment(A', A + (0, 0.5)) → sa
  22. Segment(B', B + (0, 0.5)) → sb
  23. Segment(C', C + (0, 0.5)) → sc
  24. Segment(D', D + (0, 0.5)) → sd
  25. Segment(E', E + (0, 0.5)) → se
  26. Dilate(VS, 1 - aniSli / lenDummy, VE) → VS'
  27. LaTeX(Take[textDummy, 1, aniSli]) → textIneq
  28. If(Sum[allCorrect] ≟ 5, 2.5, 0) → speed
  29. Segment(VS, VS') → aniVec
  30. Vector(START, END) → showVec
  31. circlePixels(C, 7 + (7 * pulsing), Corner[1], Corner[3], Corner[5]) → pulsingObject
  32. Vector(END, (18, 0)) → showHor
  33. Translate(START, Vector[(showSli * showVec)]) → FAKE
  34. Translate((-15, 0), Vector[If[showSli < 1, Vector[(0 * showHor)], Vector[((showSli - 1) * showHor)]]]) → FAKE2
  35. If(showSli ≤ 1, 3, 1.5) → showSpeed

AI Drawing Prompt Reference

Draw a horizontal number line spanning approximately from −18 on the left to 18 on the right, with tick marks of several lengths (short/medium/long) at regular integer positions. Randomly select multiple distinct integers from this range, including negative values and 0, and place corresponding points on the number line. Connect these chosen points in an ordered sequence to show an initial arrangement, then also compute and display the sorted order of the same integers from least to greatest using the sorted point positions. Add simple left- and right-pointing arrow segments on the line to emphasize ordering, and include a small time-varying text showing an inequality or correctness indicator during the construction.
The prompt above was compiled from the original drawing commands and is for reference only.