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Area Perimeter Game: Interactive Exploration of Quadrilaterals and 3D Shapes

Area Perimeter Game: Interactive Exploration of Quadrilaterals and 3D Shapes
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2016-06-09 10:17
PolygonProbability & StatisticsTransformationGeometric ConstructionSlider Animation
① This interactive game dynamically demonstrates the calculation and comparison of area and perimeter through adjustable geometric figures, covering general quadrilaterals, solids (3D shapes), and integrating topics like conditional probability, volume, and equations. ② Core mathematical concepts include area, perimeter, midpoint, rotation, reflection, distance, length, angle, point-in-polygon relationships, conditional probability, and volume, emphasizing connections between measurement and geometric transformations. ③ Construction highlights: The GeoGebra construction uses commands such as Segment, Point, Polygon, Midpoint, Circle, Area, Rotate, Mirror, Distance, Length, Textfield, Angle, Line, PointIn, Perimeter, LaTeX, and Element, creating multiple objects (S, R, poly2, poly5, poly7, circles, segments, points) with sliders or input fields for dynamic parameter changes. ④ Suitable for middle and high school mathematics classrooms or self-study, this resource helps reinforce area and perimeter concepts, explore how transformations affect measurements, and introduces cross-disciplinary applications involving probability and volume. It also serves as a template for teachers to create interactive practice exercises.

GeoGebra Commands & Parameters

  1. Segment(R, S) → a_1
  2. Point(a_1) → V
  3. Segment(V, S) → r_1
  4. Polygon(G, H, 4) → poly2, j, k, l, m, I, J
  5. Midpoint(m) → M
  6. Midpoint(k) → L
  7. Point(xAxis) → E
  8. Circle(E, f) → g
  9. Area(g) → A11
  10. Point(g) → F
  11. Rotate(F, Σ, E) → F'
  12. Midpoint(F', G) → N
  13. Polygon(L, N, G, M) → poly7, l_5, n_2, g_3, m_5
  14. Area(poly7) → i_1
  15. Polygon(N, L, M) → poly5, m_3, n, l_3
  16. Area(poly5) → f_1
  17. Mirror(N, G) → N'
  18. Polygon(N, N', M, L) → poly6, n_1, n', m_4, l_4
  19. Area(poly6) → h_1
  20. Distance(E, F') → j_1
  21. Mirror(F', E) → F''
  22. Distance(F', F'') → w
  23. Polygon(G, M, L, B) → poly4, g_2, m_2, l_2, b_2
  24. Length(b_2) → q_1
  25. Polygon(G, M, L, B) → poly3, g_1, m_1, l_1, b_1
  26. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  27. Length(c) → p_1
  28. Area(poly3) → e_1
  29. Area(poly2) → d_1
  30. Segment(E, F') → q
  31. Textfield(Answer) → inputBox2
  32. Textfield(text1) → inputBox1
  33. Angle(F, E, F') → β
  34. Line(F', E) → h
  35. Midpoint(L, M) → O
  36. Segment(N, O) → p
  37. Segment(F', F'') → r
  38. Circle(E, F') → s
  39. Area(s) → o
  40. PointIn(s) → Points_1
  41. Area(s) → t
  42. PointIn(s) → Points
  43. Perimeter(poly3) → perimeterpoly3
  44. PointIn(poly3) → Pointpoly3
  45. LaTeX(right, true, true) → text19
  46. LaTeX(wrong, true, true) → text21
  47. Element(list2, i) → v
  48. Point(r_1) → T
  49. Circle(R, T) → c_1
  50. Point(c_1) → U
  51. Mirror(U, R) → U'
  52. Textfield(Name) → inputBox3
  53. Textfield(Date) → inputBox4