Error Search

Error Search
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2024-07-01 17:16
In collections Binomische Formeln
Error Search is a math exercise prepared by FLINK-Team for 7-8 grade students. Through this exercise, students can learn how to use the three binomial formulas to solve binomial expressions. The exercise uses GeoGebra to display the graph and animation of binomial expressions, helping students better understand the application of binomial formulas. GeoGebra commands: Polygon, PointIn, Point, Circle, Join, Line, Intersect, Textfield, Element, Tangent, Semicircle, LaTeX; Objects: radius, A_2, B_2, l3, l3_{2}, l3_{3}, l3_{4}, l3_{5}, Light, Origin, M7_2, k72, M7_1, k71, M1_2, M1_1, k12, k11, questionCount, M4_1, k41, correctK4, M6_1, M8_{1}, M9_{1}, k91, correctK9, M10_{1}, k101, M10_{2}, k102, correctK10, M11_1, k111, correctK11, M12_{1}, M3_1, M2_1, k21, M2_{2}. Suitable for 7-8 grade students.

GeoGebra Commands & Parameters

  1. Polygon(A_2, (x(A_2), y(B_2)), B_2, (x(B_2), y(A_2))) → l3, l3_{2}, l3_{3}, l3_{4}, l3_{5}
  2. PointIn(l3) → Light
  3. Point(Line[Origin, xAxis]) → M7_2
  4. Circle(M7_2, radius) → k72
  5. Point(Line[Origin, xAxis]) → M7_1
  6. Circle(M7_1, radius) → k71
  7. Point(Line[Origin, xAxis]) → M1_2
  8. Point(Line[Origin, xAxis]) → M1_1
  9. Circle(M1_2, radius) → k12
  10. Circle(M1_1, radius) → k11
  11. Point(Line[Origin, xAxis]) → M4_1
  12. Circle(M4_1, radius) → k41
  13. Point(Line[Origin, xAxis]) → M6_1
  14. Point(Line[Origin, xAxis]) → M8_{1}
  15. Point(Line[Origin, xAxis]) → M9_{1}
  16. Circle(M9_{1}, (1.93 * radius)) → k91
  17. Point(Line[Origin, xAxis]) → M10_{1}
  18. Circle(M10_{1}, radius + 0.05) → k101
  19. Point(Line[Origin, xAxis]) → M10_{2}
  20. Circle(M10_{2}, radius) → k102
  21. Point(Line[Origin, xAxis]) → M11_1
  22. Circle(M11_1, radius + 0.03) → k111
  23. Point(Line[Origin, xAxis]) → M12_{1}
  24. Point(Line[Origin, xAxis]) → M3_1
  25. Point(Line[Origin, xAxis]) → M2_1
  26. Circle(M2_1, radius + 0.04) → k21
  27. Point(Line[Origin, xAxis]) → M2_{2}
  28. Circle(M2_{2}, radius + 0.02) → k22
  29. Point(Line[Origin, xAxis]) → M5_1
  30. Point(Line[Origin, xAxis]) → M5_{2}
  31. Circle(M3_1, radius3) → k31
  32. Circle(M12_{1}, radius3) → k121
  33. Circle(M8_{1}, radius3) → k81
  34. Circle(M6_1, radius3) → k61
  35. Circle(M5_1, radius3 + 0.03) → k51
  36. Circle(M5_{2}, radius3) → k52
  37. Join(Sequence[Sequence[1, 3], m, 1, 10]) → NameNums
  38. Join(Sequence[Shuffle[Sequence[m, m, 1, maxExCount, 1]], k, 1, 1]) → ListeLayout
  39. Circle(Light, radius) → p
  40. Line(Center[p], L1) → light
  41. Intersect(Circle[L1, 1.5], light) → M3, M4
  42. Join(Sequence[Join[{Join[{{1}, Shuffle[{2, 3, 4, 5}]}], Shuffle[{6, 7, 8, 9, 10, 11, 12}]}], m, 1, 9]) → ListeExNums
  43. Textfield(bInput) → InputBox2
  44. Element({correctK1, correctK2, correctK3, correctK4, correctK5, correctK6, correctK7, correctK8, correctK9, correctK10, correctK11, correctK12}, layout) → correct
  45. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  46. Textfield(bInput) → Eingabefeld2
  47. Polygon(V11, (x(V11), y(V13)), V13, (x(V13), y(V11))) → v1, f, g, h, i
  48. Intersect(Circle[L1, 0.5], light) → C, D
  49. Tangent(M4, p) → l1, l2
  50. Intersect(Circle[M4, 3], M4) → L_1
  51. Intersect(Circle[M4, 2], M4) → M_1
  52. Circle(M4, 1.7) → k
  53. Intersect(k, l1, 2) → N_1
  54. Intersect(k, l2) → O_1, P_1
  55. Intersect(p, l1) → Q_1
  56. Intersect(p, l2) → R_1
  57. Polygon(R_1, Q_1, N_1, P_1) → v2, r_1, q_1, n_1, p_1
  58. Circle(Light, radius) → pr
  59. Semicircle(R_1, Q_1) → c
  60. LaTeX(layout, true, true) → Text16
  61. Point(Line[B1a, xAxis]) → B1b
  62. Point(Line[B2a, xAxis]) → B2b
  63. Point(Line[S_1, xAxis]) → T_1
  64. Point(Line[W_1, xAxis]) → Z_1
  65. Point(Line[U_1, xAxis]) → V_1

AI Drawing Prompt Reference

Set up a coordinate plane with a horizontal reference line and use the origin as the base. Place several points on that horizontal line as circle centers, then draw multiple circles with the same radius plus a few slightly adjusted radii, so that several overlapping regions appear. Construct a rectangle by defining its four corner points and keep those corner feedback points visible. Add locations for a text input box for answering, and prepare a set of selectable correct option entries. Show corresponding markers at the intersection areas formed by the circles.
The prompt above was compiled from the original drawing commands and is for reference only.