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Reverse Percentage Calculation

Reverse Percentage Calculation
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2017-01-17 21:32
FunctionCoordinate GeometryGeometric Construction
In collections Concrete-Pictorial-Abstract and the Teaching for Mastery
This example demonstrates how to calculate the original value given a percentage result. It involves the core concept of percentage calculation. Using GeoGebra commands such as Polygon, Segment, and Textfield, users can dynamically explore and understand the process of reverse percentage calculation. Suitable for middle school and above students and teachers.

GeoGebra Commands & Parameters

  1. Polygon(B, A, C, D) → poly1, b, a, c, d
  2. Segment(A1, B1) → C1
  3. Segment(A2, B2) → C2
  4. Segment(A3, B3) → C3
  5. Segment(A4, B4) → C4
  6. Segment(A5, B5) → C5
  7. Segment(A6, B6) → C6
  8. Segment(A7, B7) → C7
  9. Segment(A8, B8) → C8
  10. Segment(A9, B9) → C9
  11. Segment(A10, B10) → C10
  12. Segment(A11, B11) → C11
  13. Segment(A12, B12) → C12
  14. Segment(A13, B13) → C13
  15. Segment(A14, B14) → C14
  16. Segment(A15, B15) → C15
  17. Segment(A16, B16) → C16
  18. Segment(A17, B17) → C17
  19. Segment(A18, B18) → C18
  20. Segment(A19, B19) → C19
  21. Segment(A20, B20) → C20
  22. Segment(A21, B21) → C21
  23. Segment(A22, B22) → C22
  24. Segment(A23, B23) → C23
  25. Segment(A24, B24) → C24
  26. Segment(A25, B25) → C25
  27. Segment(A26, B26) → C26
  28. Segment(A27, B27) → C27
  29. Segment(A28, B28) → C28
  30. Segment(A29, B29) → C29
  31. Segment(A30, B30) → C30
  32. Segment(A31, B31) → C31
  33. Segment(A32, B32) → C32
  34. Segment(A33, B33) → C33
  35. Segment(A34, B34) → C34
  36. Segment(A35, B35) → C35
  37. Segment(A36, B36) → C36
  38. Segment(A37, B37) → C37
  39. Segment(A38, B38) → C38
  40. Segment(A39, B39) → C39
  41. Segment(A40, B40) → C40
  42. Segment(A41, B41) → C41
  43. Segment(A42, B42) → C42
  44. Segment(A43, B43) → C43
  45. Segment(A44, B44) → C44
  46. Segment(A45, B45) → C45
  47. Segment(A46, B46) → C46
  48. Segment(A47, B47) → C47
  49. Segment(A48, B48) → C48
  50. Segment(A49, B49) → C49
  51. Segment(A50, B50) → C50
  52. Segment(A51, B51) → C51
  53. Segment(A52, B52) → C52
  54. Segment(A53, B53) → C53
  55. Segment(A54, B54) → C54
  56. Segment(A55, B55) → C55
  57. Segment(A56, B56) → C56
  58. Segment(A57, B57) → C57
  59. Segment(A58, B58) → C58
  60. Segment(A59, B59) → C59
  61. Segment(A60, B60) → C60
  62. Segment(A61, B61) → C61
  63. Segment(A62, B62) → C62
  64. Segment(A63, B63) → C63
  65. Segment(A64, B64) → C64
  66. Segment(A65, B65) → C65
  67. Segment(A66, B66) → C66
  68. Segment(A67, B67) → C67
  69. Segment(A68, B68) → C68
  70. Segment(A69, B69) → C69
  71. Segment(A70, B70) → C70
  72. Segment(A71, B71) → C71
  73. Segment(A72, B72) → C72
  74. Segment(A73, B73) → C73
  75. Segment(A74, B74) → C74
  76. Segment(A75, B75) → C75
  77. Segment(A76, B76) → C76
  78. Segment(A77, B77) → C77
  79. Segment(A78, B78) → C78
  80. Segment(A79, B79) → C79
  81. Segment(A80, B80) → C80
  82. Segment(A81, B81) → C81
  83. Segment(A82, B82) → C82
  84. Segment(A83, B83) → C83
  85. Segment(A84, B84) → C84
  86. Segment(A85, B85) → C85
  87. Segment(A86, B86) → C86
  88. Segment(A87, B87) → C87
  89. Segment(A88, B88) → C88
  90. Segment(A89, B89) → C89
  91. Segment(A90, B90) → C90
  92. Segment(A91, B91) → C91
  93. Segment(A92, B92) → C92
  94. Segment(A93, B93) → C93
  95. Segment(A94, B94) → C94
  96. Segment(A95, B95) → C95
  97. Segment(A96, B96) → C96
  98. Segment(A97, B97) → C97
  99. Segment(A98, B98) → C98
  100. Segment(A99, B99) → C99
  101. Segment(A100, B100) → C100
  102. Textfield(D1) → InputBox1
  103. Segment(I, G) → g
  104. Random(10, 99) → D2
  105. Random(2, 25) → D3
  106. Textfield(E1) → InputBox2
  107. Polygon(F, D, C, E) → poly2, f, d_1, c_1, e_1
  108. Polygon(M, H, A, B) → poly3, h, l, m, n