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Compare Absolute Values - Level 2 (World Tour)

Compare Absolute Values - Level 2 (World Tour)
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2025-01-07 18:43
In collections Gegenzahl und Betrag einer rationalen Zahl
This example helps students understand the concept of absolute value by comparing them. Key mathematical concepts include the explanation and application of absolute values. Using GeoGebra commands such as `SelectedIndex`, `Zip`, and `If`, students can dynamically explore and understand the concept of absolute values. Suitable for 7-8 grade students for practice.

GeoGebra Commands & Parameters

  1. SelectedIndex(DropDownA) → inputA
  2. Zip({abs(m), abs(n)}, m, Element[Transpose[listExNums], 1], n, Element[Transpose[listExNums], 2]) → listExNumsAbs
  3. If(numXabs < numYabs, 2, If[numXabs > numYabs, 3, If[numXabs ≟ numYabs, 4]]) → solA
  4. Textfield(aInput) → InputBox1
  5. Textfield(bInput) → InputBox2
  6. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  7. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {2, 3, 2, 2, 4, 4, 4, 2, 7, 4, 7, 9, 9, 8, 9, 0, 0, 5, 7, 9, 0, 7, 0, 7, 3, 3, 6, 3, 1, 4, 2, 4, 0, 5, 9, 8, 10, 5, 2, 10, 3, 7, 0, 9, 9, 5, 4, 2, 1, 0, 10, 8, 1, 9, 10, 10, 5, 10, 3, 2, 5, 4, 4, 0, 9, 4, 0, 1, 8, 2, 1, 9, 6, 2, 9, 8, 4, 3, 5, 8, 7, 3, 0, 6, 8, 4, 1, 7, 9, 3, 4, 9, 0, 9, 6, 5, 3, 9, 7, 2}
  8. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {1, 7, 1, 6, 1, 7, 5, 5, 2, 1, 6, 3, 3, 5, 3, 6, 9, 0, 1, 5, 3, 7, 6, 10, 1, 0, 2, 3, 0, 9, 2, 9, 1, 6, 0, 2, 7, 0, 10, 8, 10, 10, 4, 6, 1, 2, 4, 3, 4, 2, 2, 4, 8, 5, 0, 6, 3, 8, 9, 2, 3, 3, 3, 8, 10, 10, 6, 5, 10, 9, 5, 6, 1, 2, 10, 7, 7, 9, 10, 8, 4, 10, 5, 3, 8, 0, 9, 10, 10, 8, 10, 8, 5, 7, 6, 9, 1, 0, 10, 7}
  9. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  10. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  11. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  12. Textfield(cInput) → InputBox3
  13. Corner(BildBlue, 1) → controlBlue
  14. Corner(BildGelb, 1) → controlGelb
  15. Corner(BildRosa, 1) → controlRosa
  16. Corner(BildGreen, 1) → controlGreen
  17. Point(g) → P
  18. Circle(P, Q) → circ
  19. Textfield(inputAdd1) → Eingabefeld1
  20. Textfield(inputAdd2) → Eingabefeld2
  21. Polygon(PtopLeftCornerFeedback_{1} + (0.95, 0), PtopRightCornerFeedback_{1} + (-0.1, 0), PbottomRightCornerFeedback_{1} + (-0.1, 0), PbottomLeftCornerFeedback_{1} + (0.95, 0)) → rectangleCorrect_{1}, n, f_1, g_1, h_1
  22. Polygon(PtopLeftCornerFeedback_{2}, PtopRightCornerFeedback_{2}, PbottomRightCornerFeedback_{2}, PbottomLeftCornerFeedback_{2}) → rectangleCorrect_{2}, ptopleftcornerfeedback_{2}, ptoprightcornerfeedback_{2}, pbottomrightcornerfeedback_{2}, pbottomleftcornerfeedback_{2}
  23. Polygon(PtopLeftCornerFeedback_{3}, PtopRightCornerFeedback_{3}, PbottomRightCornerFeedback_{3}, PbottomLeftCornerFeedback_{3}) → rectangleCorrect_{3}, ptopleftcornerfeedback_{3}, ptoprightcornerfeedback_{3}, pbottomrightcornerfeedback_{3}, pbottomleftcornerfeedback_{3}
  24. Point(c) → B_2
  25. Point(d) → C_2
  26. Point(d) → D_2
  27. Point(e) → E_2
  28. Point(e) → F_2
  29. Point(h) → G_2
  30. Point(h) → H_2
  31. Point(k) → I_2
  32. Point(k) → J_2
  33. Point(p) → K_2
  34. Point(p) → L_2
  35. Point(q) → M_2
  36. Point(q) → N_2
  37. Point(r) → O_2
  38. Point(r) → P_2
  39. Point(s) → Q_2
  40. Point(s) → R_2
  41. Point(t) → S_2
  42. Vector(B_2, C_2) → u
  43. Vector(D_2, E_2) → v
  44. Vector(F_2, G_2) → w
  45. Vector(H_2, I_2) → a
  46. Vector(J_2, K_2) → b
  47. Vector(L_2, M_2) → i
  48. Vector(N_2, O_2) → j
  49. Vector(P_2, Q_2) → l
  50. Vector(R_2, S_2) → m
  51. CountIf(a ≟ true, a, bv) → correctProblems
  52. Point(Line[LineStart, xAxis]) → LineEnd
  53. Distance(LineEnd, LineStart) → linelength
  54. Midpoint(LineStart, LineEnd) → LineMiddle
  55. Segment(LineStart, LineEnd) → line
  56. Sequence(LineMiddle + (m * (lineEH, 0)), m, -3, 3) → linePoints
  57. Zip(Segment[P + (0, (-lineheightshort)), P + (0, lineheightshort)], P, linePoints) → lineLines
  58. Sort({LinePX, LinePY}) → listPointsP
  59. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, 0, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, 0, RasterMaxY / RasterStepXY]}) → RasterStrecken
  60. Join({Sequence[Text[UnicodeToLetter[65 + k], Midpoint[Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY)), Corner[4] + (RasterPixMat * (((k + 1) * RasterStepXY), RasterMaxY))], false, true, 0, -1], k, 0, RasterMaxX / RasterStepXY - 1], Sequence[Text[("" * k), Midpoint[Corner[4] + (RasterPixMat * (RasterMaxX, ((k - 1) * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], false, true, 1, 0], k, 1, RasterMaxY / RasterStepXY]}) → RasterBeschriftung
  61. Join({Zip[Text[(("\textsf{--}\textsf{" * ReplaceAll[("" * n), ".", ","]) * "}"), m + (0, -0.8), true, true, -0, 1], n, Sequence[((-a) * linefaktor), a, -3, -1], m, linePoints], Zip[Text[(("\textsf{" * ReplaceAll[("" * n), ".", ","]) * "}"), m + (0, -0.8), true, true, -0, 1], n, Sequence[(a * linefaktor), a, 1, 3], m, Sequence[linePoints(o), o, 5, 7]]}) → lineText
  62. Element({c, d, e, h, k, p, q, r, s, t}, correctCount + 1) → Cziehmich