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Interactive Linear Equation Practice with Visual Answer Verification

Interactive Linear Equation Practice with Visual Answer Verification
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2024-08-01 17:37
PolygonInequalityGeometric ConstructionSlider Animation
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This GeoGebra lesson (presented as a “bunte Tüte voller Proben” interactive exercise) demonstrates how students can solve one-variable linear equations using inverse operations, while validating their choice through visual/geometric feedback. The key math ideas are one-step-at-a-time (inverse) operations on both sides of an equation, linear equation solving, and systematic answer checking. Construction and interaction rely on the objects and commands from the build summary: multiple candidate solutions (e.g., sol1a/sol1b, sol2a/sol2b, sol3a/sol3b, sol7/sol8/sol9) are provided via dropdown inputs (DropDown9/7/8 with input9/7/8); If controls branching logic, Shuffle randomizes candidate presentation, and Join/Append/Remove manage lists of options. Textfield displays prompts/notes. Geometric support uses Point, Polygon, and PointIn/IsInRegion to determine whether candidates fall in specified regions, while Length and Midpoint help compute measures and derived points. Element and Defined support referencing and validity checks. A validation loop is implemented with flags like correct1–correct9 and check3–check7 together with buttons (btnValidate2, btnNext2, btnNochmal, btnNext) for immediate feedback. Suitable for grades 5–6 as interactive practice and formative assessment.

GeoGebra Commands & Parameters

  1. SelectedIndex(DropDown9) → input9
  2. SelectedIndex(DropDown7) → input7
  3. If(exnum ≟ 2, 2, 3) → sol9
  4. If(exnum ≟ 1, 2, 3) → sol7
  5. If(exnum ∈ {1, 4}, 1, If[exnum ∈ {2, 5}, 2, 3]) → extype
  6. If(exnum ≟ 3, check6, check5) → correct6
  7. SelectedIndex(DropDown8) → input8
  8. If(exnum ≟ 2, check3, check4) → correct5
  9. Join(Sequence[Shuffle[{1, 2, 3, 4, 5, 6, 7}], m, 1, 9]) → listExnum
  10. Textfield(input1) → Eingabefeld1
  11. Textfield(input2) → Eingabefeld2
  12. Textfield(input3) → Eingabefeld3
  13. Polygon(TüteBound1, TüteBound2, TüteBound3, TüteBound4) → TüteBounda, tütebound1, tütebound2, tütebound3, tütebount4
  14. PointIn(TüteBounda) → Z1a
  15. Length(Vector[Z1b, Z1c]) → d
  16. If(exnum ≟ 1, 4, 3.7) → sol1
  17. If(exnum ≟ 1, 36, 14.8) → sol2
  18. If(exnum ≟ 1, 39, 8.7) → sol3
  19. If(exnum ≟ 1, check1, check2) → correct4
  20. Element({correct1 ∧ correct2 ∧ correct3 ∧ correct7 ∧ correct8, correct9, correct6}, extype) → correct
  21. Polygon(Translate[TüteBound1, (0.8, 0.4)], Translate[TüteBound2, (0.8, 0.4)], Translate[TüteBound3, (0.8, 0.4)], Translate[TüteBound4, (0.8, 0.4)]) → TüteBoundb, f, g, h, i
  22. Textfield(input1old) → InputBox1
  23. Textfield(input2old) → InputBox2
  24. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  25. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {10, 3, 2, 1, 5, 3, 0, 3, 10, 3, 10, 6, 1, 2, 8, 4, 10, 8, 3, 5, 7, 8, 7, 10, 2, 5, 4, 6, 7, 8, 8, 8, 9, 6, 4, 6, 10, 9, 9, 9, 0, 0, 10, 8, 5, 3, 3, 3, 0, 5, 4, 3, 5, 3, 8, 7, 1, 0, 6, 7, 8, 3, 0, 9, 7, 7, 2, 0, 1, 6, 3, 9, 10, 6, 4, 9, 6, 3, 0, 4, 9, 2, 9, 10, 1, 0, 0, 0, 4, 5, 3, 3, 6, 4, 6, 6, 9, 3, 0, 4}
  26. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  27. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {4, 4, 6, 7, 9, 5, 8, 9, 4, 4, 1, 8, 2, 5, 9, 3, 9, 6, 7, 8, 9, 5, 4, 2, 5, 7, 8, 5, 3, 2, 5, 5, 4, 8, 9, 4, 2, 0, 5, 2, 1, 10, 9, 10, 6, 2, 3, 5, 5, 1, 1, 5, 0, 9, 3, 4, 2, 8, 2, 8, 0, 2, 8, 6, 8, 6, 7, 5, 6, 0, 8, 0, 5, 3, 4, 10, 3, 2, 10, 3, 1, 8, 9, 1, 10, 1, 0, 1, 3, 5, 5, 1, 3, 8, 10, 6, 0, 6, 10, 0}
  28. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  29. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  30. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  31. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  32. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  33. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  34. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  35. Point(Line[Bu1, xAxis]) → Bu2
  36. PointIn(TüteBounda) → Z2a
  37. PointIn(TüteBounda) → Z3a
  38. PointIn(TüteBounda) → Z4a
  39. PointIn(TüteBoundb) → Z5a
  40. PointIn(TüteBoundb) → Z6a
  41. PointIn(TüteBoundb) → Z7a
  42. Polygon(D1, (x(D1), y(D2)), D2, (x(D2), y(D1))) → DecisionArea, d1, j, d2, k
  43. Midpoint(Z1a, Z1c) → Z1M
  44. Midpoint(Z2a, Z2c) → Z2M
  45. Midpoint(Z3a, Z3c) → Z3M
  46. Midpoint(Z4a, Z4c) → Z4M
  47. Midpoint(Z5a, Z5c) → Z5M
  48. Midpoint(Z6a, Z6c) → Z6M
  49. Midpoint(Z7a, Z7c) → Z7M
  50. IsInRegion(Z1M, DecisionArea) → zettel1dec
  51. IsInRegion(Z2M, DecisionArea) → zettel2dec
  52. IsInRegion(Z3M, DecisionArea) → zettel3dec
  53. IsInRegion(Z4M, DecisionArea) → zettel4dec
  54. IsInRegion(Z5M, DecisionArea) → zettel5dec
  55. IsInRegion(Z6M, DecisionArea) → zettel6dec
  56. IsInRegion(Z7M, DecisionArea) → zettel7dec
  57. Length(Vector[Z1a, Z1b]) → c
  58. Textfield(input3old) → InputBox3
  59. Point(Line[Pi1, xAxis]) → Pi2
  60. Element({If[part ≟ 1, 3, 1], 1, 2}, extype) → versuche
  61. Point(Line[Hakerl1a, xAxis]) → Hakerl1b
  62. Defined(((input1(h, c) * input2(h, c)) * input3(h, c))) → fixedDropDown7

AI Drawing Prompt Reference

Create an interactive geometry exercise demonstrating one-variable linear equation solving with visual feedback. Include multiple candidate solutions selected via dropdowns, geometric regions showing where solutions lie, and buttons for validation and feedback. Use points, polygons, length calculations, and conditional logic to control the interaction and display prompts.
The prompt above was compiled from the original drawing commands and is for reference only.