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Fraction and Geometry Demo

Fraction and Geometry Demo
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2017-08-20 19:29
FunctionCoordinate GeometryGeometric Construction
In collections Module 2: Fractions
This example dynamically demonstrates the geometric meaning of fractions, visually showing the relationship between fractions and the area of shapes. It involves core math concepts like fractions, median value, congruence, arithmetic mean, subtraction, and differential equations. Constructed using commands like LaTeX, If, Shuffle, TableText, and numerous objects such as D17, E17, n, E16. Suitable for high school mathematics teaching, combining fraction operations with geometric intuition.

GeoGebra Commands & Parameters

  1. LaTeX("x") → D17
  2. LaTeX("x") → E17
  3. LaTeX("x") → E16
  4. LaTeX("x") → D16
  5. LaTeX("x") → E15
  6. LaTeX("x") → D15
  7. LaTeX("x") → E14
  8. LaTeX("x") → D14
  9. LaTeX("\frac{2}{9}=\frac{4}{x}") → B14
  10. If(n ≟ 1, B14, If[n ≟ 2, D14, If[n ≟ 3, E14, ""]]) → A14
  11. LaTeX("\frac{3}{x}=\frac{6}{20}") → B15
  12. If(n ≟ 1, B15, If[n ≟ 2, D15, If[n ≟ 3, E15, ""]]) → A15
  13. LaTeX("\frac{x}{8}=\frac{1}{8}") → B16
  14. If(n ≟ 1, B16, If[n ≟ 2, D16, If[n ≟ 3, E16, ""]]) → A16
  15. LaTeX("\frac{14}{6}=\frac{x}{3}") → B17
  16. If(n ≟ 1, B17, If[n ≟ 2, D17, If[n ≟ 3, E17, ""]]) → A17
  17. LaTeX("x") → E18
  18. LaTeX("x") → D18
  19. LaTeX("x") → E19
  20. LaTeX("x") → D19
  21. LaTeX("x") → E20
  22. LaTeX("x") → D20
  23. LaTeX("x") → E21
  24. LaTeX("x") → D21
  25. LaTeX("x") → E22
  26. LaTeX("x") → D22
  27. LaTeX("x") → E23
  28. LaTeX("x") → D23
  29. LaTeX("x") → E24
  30. LaTeX("x") → D24
  31. LaTeX("x") → E25
  32. LaTeX("x") → D25
  33. LaTeX("x") → E26
  34. LaTeX("x") → D26
  35. LaTeX("x") → E27
  36. LaTeX("x") → D27
  37. LaTeX("x") → E28
  38. LaTeX("x") → D28
  39. LaTeX("x") → E29
  40. LaTeX("x") → D29
  41. LaTeX("x") → E30
  42. LaTeX("x") → D30
  43. LaTeX("x") → E33
  44. LaTeX("x") → D33
  45. LaTeX("x") → E31
  46. LaTeX("x") → D31
  47. LaTeX("x") → E32
  48. LaTeX("x") → D32
  49. LaTeX("\frac{3}{6}=\frac{7}{x}") → B18
  50. If(n ≟ 1, B18, If[n ≟ 2, D18, If[n ≟ 3, E18, ""]]) → A18
  51. LaTeX("\frac{3}{15}=\frac{4}{x}") → B19
  52. If(n ≟ 1, B19, If[n ≟ 2, D19, If[n ≟ 3, E19, ""]]) → A19
  53. LaTeX("\frac{x}{7}=\frac{9}{21}") → B20
  54. If(n ≟ 1, B20, If[n ≟ 2, D20, If[n ≟ 3, E20, ""]]) → A20
  55. LaTeX("\frac{4}{x}=\frac{5}{15}") → B21
  56. If(n ≟ 1, B21, If[n ≟ 2, D21, If[n ≟ 3, E21, ""]]) → A21
  57. LaTeX("\frac{3}{x}=\frac{33}{55}") → B22
  58. If(n ≟ 1, B22, If[n ≟ 2, D22, If[n ≟ 3, E22, ""]]) → A22
  59. LaTeX("\frac{x}{4}=\frac{28}{7}") → B23
  60. If(n ≟ 1, B23, If[n ≟ 2, D23, If[n ≟ 3, E23, ""]]) → A23
  61. LaTeX("\frac{3}{5}=\frac{x}{25}") → B24
  62. If(n ≟ 1, B24, If[n ≟ 2, D24, If[n ≟ 3, E24, ""]]) → A24
  63. LaTeX("\frac{2}{x}=\frac{4}{38}") → B25
  64. If(n ≟ 1, B25, If[n ≟ 2, D25, If[n ≟ 3, E25, ""]]) → A25
  65. LaTeX("\frac{x}{6}=\frac{10}{15}") → B26
  66. If(n ≟ 1, B26, If[n ≟ 2, D26, If[n ≟ 3, E26, ""]]) → A26
  67. LaTeX("\frac{22}{11}=\frac{x}{4}") → B27
  68. If(n ≟ 1, B27, If[n ≟ 2, D27, If[n ≟ 3, E27, ""]]) → A27
  69. LaTeX("\frac{7}{21}=\frac{x}{6}") → B28
  70. If(n ≟ 1, B28, If[n ≟ 2, D28, If[n ≟ 3, E28, ""]]) → A28
  71. LaTeX("\frac{23}{x}=\frac{46}{22}") → B29
  72. If(n ≟ 1, B29, If[n ≟ 2, D29, If[n ≟ 3, E29, ""]]) → A29
  73. LaTeX("\frac{14}{21}=\frac{x}{9}") → B30
  74. If(n ≟ 1, B30, If[n ≟ 2, D30, If[n ≟ 3, E30, ""]]) → A30
  75. LaTeX("\frac{36}{x}=\frac{44}{11}") → B31
  76. If(n ≟ 1, B31, If[n ≟ 2, D31, If[n ≟ 3, E31, ""]]) → A31
  77. LaTeX("\frac{x}{5}=\frac{130}{50}") → B32
  78. If(n ≟ 1, B32, If[n ≟ 2, D32, If[n ≟ 3, E32, ""]]) → A32
  79. LaTeX("\frac{34}{14}=\frac{x}{7}") → B33
  80. If(n ≟ 1, B33, If[n ≟ 2, D33, If[n ≟ 3, E33, ""]]) → A33
  81. Shuffle(lista1) → lista2
  82. If(A1 > 0, Element[lista2, 1], "") → B3
  83. If(A1 > 2, Element[lista2, 3], "") → B5
  84. If(A1 > 3, Element[lista2, 4], "") → B6
  85. If(A1 > 4, Element[lista2, 5], "") → B7
  86. If(A1 > 5, Element[lista2, 6], "") → B8
  87. If(A1 > 6, Element[lista2, 7], "") → B9
  88. If(A1 > 7, Element[lista2, 8], "") → B10
  89. If(A1 > 8, Element[lista2, 9], "") → B11
  90. If(A1 > 9, Element[lista2, 10], "") → B12
  91. If(A1 > 1, Element[lista2, 2], "") → B4
  92. If(A1 > 10, Element[lista2, 11], "") → E3
  93. If(A1 > 11, Element[lista2, 12], "") → E4
  94. If(A1 > 12, Element[lista2, 13], "") → E5
  95. If(A1 > 13, Element[lista2, 14], "") → E6
  96. If(A1 > 14, Element[lista2, 15], "") → E7
  97. If(A1 > 15, Element[lista2, 16], "") → E8
  98. If(A1 > 16, Element[lista2, 17], "") → E9
  99. If(A1 > 17, Element[lista2, 18], "") → E10
  100. If(A1 > 18, Element[lista2, 19], "") → E11
  101. If(A1 > 19, Element[lista2, 20], "") → E12
  102. TableText({{A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}}, "|_") → texto1
  103. TableText({{A8, B8}, {A9, B9}, {A10, B10}, {A11, B11}, {A12, B12}}, "|_") → texto3
  104. TableText({{D3, E3}, {D4, E4}, {D5, E5}, {D6, E6}, {D7, E7}}, "|_") → texto4
  105. TableText({{D8, E8}, {D9, E9}, {D10, E10}, {D11, E11}, {D12, E12}}, "|_") → texto5