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Percents and Fractions

Percents and Fractions
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2017-06-24 01:25
FunctionCoordinate GeometryProbability & Statistics
This example demonstrates the conversion and visual representation between percents and fractions. It involves core math concepts like percents, fractions, ellipses, arithmetic operations, linear functions, hypergeometric distribution, and means. Construction highlights include commands like Random, Intersect, Polygon, and Sum from GeoGebra. Suitable for high school mathematics education to understand numerical transformations and geometric applications.

GeoGebra Commands & Parameters

  1. Random(1, 100) → e
  2. Intersect(xAxis, yAxis) → A
  3. Polygon(A, B1, B2, A2) → poly1, a, b1, b2, a2
  4. Polygon(A2, B2, B3, A3) → poly2, a2_1, b2_1, b3, a3
  5. Polygon(A3, B3, B4, A4) → poly3, a3_1, b3_1, b4, a4
  6. Polygon(A4, B4, B5, A5) → poly4, a4_1, b4_1, b5, a5
  7. Polygon(A5, B5, B6, A6) → poly5, a5_1, b5_1, b6, a6
  8. Polygon(A6, B6, B7, A7) → poly6, a6_1, b6_1, b7, a7
  9. Polygon(A7, B7, B8, A8) → poly7, a7_1, b7_1, b8, a8
  10. Polygon(A8, B8, B9, A9) → poly8, a8_1, b8_1, b9, a9
  11. Polygon(A9, B9, B10, A10) → poly9, a9_1, b9_1, b10, a10
  12. Polygon(A10, B10, B11, A11) → poly10, a10_1, b10_1, b11, a11
  13. Polygon(B1, B2, C2, C1) → poly11, b1_1, b2_2, c2, c1
  14. Polygon(B2, C2, C3, B3) → poly12, b2_3, c2_1, c3, b3_2
  15. Polygon(C3, C4, B4, B3) → poly13, c3_1, c4, b4_2, b3_3
  16. Polygon(C4, C5, B5, B4) → poly14, c4_1, c5, b5_2, b4_3
  17. Polygon(C5, C6, B6, B5) → poly15, c5_1, c6, b6_2, b5_3
  18. Polygon(C6, C7, B7, B6) → poly16, c6_1, c7, b7_2, b6_3
  19. Polygon(C7, C8, B8, B7) → poly17, c7_1, c8, b8_2, b7_3
  20. Polygon(C8, C9, B9, B8) → poly18, c8_1, c9, b9_2, b8_3
  21. Polygon(C9, C10, B10, B9) → poly19, c9_1, c10, b10_2, b9_3
  22. Polygon(C10, C11, B11, B10) → poly20, c10_1, c11, b11_1, b10_3
  23. Polygon(C1, D1, D2, C2) → poly21, c1_1, d1, d2, c2_2
  24. Polygon(C2, D2, D3, C3) → poly22, c2_3, d2_1, d3, c3_2
  25. Polygon(C3, D3, D4, C4) → poly23, c3_3, d3_1, d4, c4_2
  26. Polygon(C4, D4, D5, C5) → poly24, c4_3, d4_1, d5, c5_2
  27. Polygon(C5, D5, D6, C6) → poly25, c5_3, d5_1, d6, c6_2
  28. Polygon(C6, D6, D7, C7) → poly26, c6_3, d6_1, d7, c7_2
  29. Polygon(D7, D8, C8, C7) → poly27, d7_1, d8, c8_2, c7_3
  30. Polygon(D8, D9, C9, C8) → poly28, d8_1, d9, c9_2, c8_3
  31. Polygon(D9, D10, C10, C9) → poly29, d9_1, d10, c10_2, c9_3
  32. Polygon(D10, D11, C11, C10) → poly30, d10_1, d11, c11_1, c10_3
  33. Polygon(D1, E1, E2, D2) → poly31, d1_1, e1, e2, d2_2
  34. Polygon(E2, E3, D3, D2) → poly32, e2_1, e3, d3_2, d2_3
  35. Polygon(E3, E4, D4, D3) → poly33, e3_1, e4, d4_2, d3_3
  36. Polygon(E4, E5, D5, D4) → poly34, e4_1, e5, d5_2, d4_3
  37. Polygon(E5, E6, D6, D5) → poly35, e5_1, e6, d6_2, d5_3
  38. Polygon(E6, E7, D7, D6) → poly36, e6_1, e7, d7_2, d6_3
  39. Polygon(E7, E8, D8, D7) → poly37, e7_1, e8, d8_2, d7_3
  40. Polygon(E8, E9, D9, D8) → poly38, e8_1, e9, d9_2, d8_3
  41. Polygon(E9, E10, D10, D9) → poly39, e9_1, e10, d10_2, d9_3
  42. Polygon(E10, E11, D11, D10) → poly40, e10_1, e11, d11_1, d10_3
  43. Polygon(E1, F1, F2, E2) → poly41, e1_1, f1, f2, e2_2
  44. Polygon(E2, F2, F3, E3) → poly42, e2_3, f2_1, f3, e3_2
  45. Polygon(F3, F4, E4, E3) → poly43, f3_1, f4, e4_2, e3_3
  46. Polygon(F4, F5, E5, E4) → poly44, f4_1, f5, e5_2, e4_3
  47. Polygon(F5, F6, E6, E5) → poly45, f5_1, f6, e6_2, e5_3
  48. Polygon(F6, F7, E7, E6) → poly46, f6_1, f7, e7_2, e6_3
  49. Polygon(F7, F8, E8, E7) → poly47, f7_1, f8, e8_2, e7_3
  50. Polygon(E8, F8, F9, E9) → poly48, e8_3, f8_1, f9, e9_2
  51. Polygon(E9, F9, F10, E10) → poly49, e9_3, f9_1, f10, e10_2
  52. Polygon(F10, F11, E11, E10) → poly50, f10_1, f11, e11_1, e10_3
  53. Polygon(F1, G1, G2, F2) → poly51, f1_1, g1, g2, f2_2
  54. Polygon(G2, G3, F3, F2) → poly52, g2_1, g3, f3_2, f2_3
  55. Polygon(G3, G4, F4, F3) → poly53, g3_1, g4, f4_2, f3_3
  56. Polygon(G4, G5, F5, F4) → poly54, g4_1, g5, f5_2, f4_3
  57. Polygon(G5, G6, F6, F5) → poly55, g5_1, g6, f6_2, f5_3
  58. Polygon(G6, G7, F7, F6) → poly56, g6_1, g7, f7_2, f6_3
  59. Polygon(G7, G8, F8, F7) → poly57, g7_1, g8, f8_2, f7_3
  60. Polygon(G8, G9, F9, F8) → poly58, g8_1, g9, f9_2, f8_3
  61. Polygon(G9, G10, F10, F9) → poly59, g9_1, g10, f10_2, f9_3
  62. Polygon(G10, G11, F11, F10) → poly60, g10_1, g11, f11_1, f10_3
  63. Polygon(G1, H1, H2, G2) → poly61, g1_1, h1, h2, g2_2
  64. Polygon(H2, H3, G3, G2) → poly62, h2_1, h3, g3_2, g2_3
  65. Polygon(H3, H4, G4, G3) → poly63, h3_1, h4, g4_2, g3_3
  66. Polygon(H4, H5, G5, G4) → poly64, h4_1, h5, g5_2, g4_3
  67. Polygon(H5, H6, G6, G5) → poly65, h5_1, h6, g6_2, g5_3
  68. Polygon(H6, H7, G7, G6) → poly66, h6_1, h7, g7_2, g6_3
  69. Polygon(H7, H8, G8, G7) → poly67, h7_1, h8, g8_2, g7_3
  70. Polygon(H8, H9, G9, G8) → poly68, h8_1, h9, g9_2, g8_3
  71. Polygon(H9, H10, G10, G9) → poly69, h9_1, h10, g10_2, g9_3
  72. Polygon(G10, H10, H11, G11) → poly70, g10_3, h10_1, h11, g11_1
  73. Polygon(H1, I1, I2, H2) → poly71, h1_1, i1, i2, h2_2
  74. Polygon(H2, I2, I3, H3) → poly72, h2_3, i2_1, i3, h3_2
  75. Polygon(H3, I3, I4, H4) → poly73, h3_3, i3_1, i4, h4_2
  76. Polygon(H4, I4, I5, H5) → poly74, h4_3, i4_1, i5, h5_2
  77. Polygon(I5, I6, H6, H5) → poly75, i5_1, i6, h6_2, h5_3
  78. Polygon(I6, I7, H7, H6) → poly76, i6_1, i7, h7_2, h6_3
  79. Polygon(H7, I7, I8, H8) → poly77, h7_3, i7_1, i8, h8_2
  80. Polygon(I8, I9, H9, H8) → poly78, i8_1, i9, h9_2, h8_3
  81. Polygon(I9, I10, H10, H9) → poly79, i9_1, i10, h10_2, h9_3
  82. Polygon(I10, I11, H11, H10) → poly80, i10_1, i11, h11_1, h10_3
  83. Polygon(I1, J1, J2, I2) → poly81, i1_1, j1, j2, i2_2
  84. Polygon(J2, J3, I3, I2) → poly82, j2_1, j3, i3_2, i2_3
  85. Polygon(J3, J4, I4, I3) → poly83, j3_1, j4, i4_2, i3_3
  86. Polygon(J4, J5, I5, I4) → poly84, j4_1, j5, i5_2, i4_3
  87. Polygon(J5, J6, I6, I5) → poly85, j5_1, j6, i6_2, i5_3
  88. Polygon(J6, J7, I7, I6) → poly86, j6_1, j7, i7_2, i6_3
  89. Polygon(J7, J8, I8, I7) → poly87, j7_1, j8, i8_2, i7_3
  90. Polygon(J8, J9, I9, I8) → poly88, j8_1, j9, i9_2, i8_3
  91. Polygon(J9, J10, I10, I9) → poly89, j9_1, j10, i10_2, i9_3
  92. Polygon(J10, J11, I11, I10) → poly90, j10_1, j11, i11_1, i10_3
  93. Polygon(J1, K1, K2, J2) → poly91, j1_1, k1, k2, j2_2
  94. Polygon(K2, K3, J3, J2) → poly92, k2_1, k3, j3_2, j2_3
  95. Polygon(K3, K4, J4, J3) → poly93, k3_1, k4, j4_2, j3_3
  96. Polygon(K4, K5, J5, J4) → poly94, k4_1, k5, j5_2, j4_3
  97. Polygon(K5, K6, J6, J5) → poly95, k5_1, k6, j6_2, j5_3
  98. Polygon(K6, K7, J7, J6) → poly96, k6_1, k7, j7_2, j6_3
  99. Polygon(K7, K8, J8, J7) → poly97, k7_1, k8, j8_2, j7_3
  100. Polygon(K8, K9, J9, J8) → poly98, k8_1, k9, j9_2, j8_3
  101. Polygon(K9, K10, J10, J9) → poly99, k9_1, k10, j10_2, j9_3
  102. Polygon(K10, K11, J11, J10) → poly100, k10_1, k11, j11_1, j10_3
  103. Polygon(A, B1, B2, A2) → poly101, a_1, b1_2, b2_4, a2_2
  104. Polygon(A2, B2, B3, A3) → poly102, a2_3, b2_5, b3_4, a3_2
  105. Polygon(A3, B3, B4, A4) → poly103, a3_3, b3_5, b4_4, a4_2
  106. Polygon(A4, B4, B5, A5) → poly104, a4_3, b4_5, b5_4, a5_2
  107. Polygon(A5, B5, B6, A6) → poly105, a5_3, b5_5, b6_4, a6_2
  108. Polygon(A6, B6, B7, A7) → poly106, a6_3, b6_5, b7_4, a7_2
  109. Polygon(A7, B7, B8, A8) → poly107, a7_3, b7_5, b8_4, a8_2
  110. Polygon(A8, B8, B9, A9) → poly108, a8_3, b8_5, b9_4, a9_2
  111. Polygon(A9, B9, B10, A10) → poly109, a9_3, b9_5, b10_4, a10_2
  112. Polygon(A10, B10, B11, A11) → poly110, a10_3, b10_5, b11_2, a11_1
  113. Sum(L1:L100) → L101
  114. Polygon(B1, B2, C2, C1) → poly111, b1_3, b2_6, c2_4, c1_2
  115. Polygon(B2, B3, C3, C2) → poly112, b2_7, b3_6, c3_4, c2_5
  116. Polygon(B3, B4, C4, C3) → poly113, b3_7, b4_6, c4_4, c3_5
  117. Polygon(B4, B5, C5, C4) → poly114, b4_7, b5_6, c5_4, c4_5
  118. Polygon(B5, B6, C6, C5) → poly115, b5_7, b6_6, c6_4, c5_5
  119. Polygon(B6, B7, C7, C6) → poly116, b6_7, b7_6, c7_4, c6_5
  120. Polygon(B7, B8, C8, C7) → poly117, b7_7, b8_6, c8_4, c7_5
  121. Polygon(B8, B9, C9, C8) → poly118, b8_7, b9_6, c9_4, c8_5
  122. Polygon(B9, B10, C10, C9) → poly119, b9_7, b10_6, c10_4, c9_5
  123. Polygon(B10, B11, C11, C10) → poly120, b10_7, b11_3, c11_2, c10_5
  124. Polygon(C1, D1, D2, C2) → poly121, c1_3, d1_2, d2_4, c2_6
  125. Polygon(C2, D2, D3, C3) → poly122, c2_7, d2_5, d3_4, c3_6
  126. Polygon(C3, D3, D4, C4) → poly123, c3_7, d3_5, d4_4, c4_6
  127. Polygon(C4, D4, D5, C5) → poly124, c4_7, d4_5, d5_4, c5_6
  128. Polygon(C5, D5, D6, C6) → poly125, c5_7, d5_5, d6_4, c6_6
  129. Polygon(C6, D6, D7, C7) → poly126, c6_7, d6_5, d7_4, c7_6
  130. Polygon(C7, D7, D8, C8) → poly127, c7_7, d7_5, d8_4, c8_6
  131. Polygon(C8, D8, D9, C9) → poly128, c8_7, d8_5, d9_4, c9_6
  132. Polygon(C9, D9, D10, C10) → poly129, c9_7, d9_5, d10_4, c10_6
  133. Polygon(C10, D10, D11, C11) → poly130, c10_7, d10_5, d11_2, c11_3
  134. Polygon(D1, E1, E2, D2) → poly131, d1_3, e1_2, e2_4, d2_6
  135. Polygon(D2, E2, E3, D3) → poly132, d2_7, e2_5, e3_4, d3_6
  136. Polygon(D3, E3, E4, D4) → poly133, d3_7, e3_5, e4_4, d4_6
  137. Polygon(D4, E4, E5, D5) → poly134, d4_7, e4_5, e5_4, d5_6
  138. Polygon(D5, E5, E6, D6) → poly135, d5_7, e5_5, e6_4, d6_6
  139. Polygon(D6, E6, E7, D7) → poly136, d6_7, e6_5, e7_4, d7_6
  140. Polygon(D7, E7, E8, D8) → poly137, d7_7, e7_5, e8_4, d8_6
  141. Polygon(D8, E8, E9, D9) → poly138, d8_7, e8_5, e9_4, d9_6
  142. Polygon(D9, E9, E10, D10) → poly139, d9_7, e9_5, e10_4, d10_6
  143. Polygon(D10, E10, E11, D11) → poly140, d10_7, e10_5, e11_2, d11_3
  144. Polygon(E1, F1, F2, E2) → poly141, e1_3, f1_2, f2_4, e2_6
  145. Polygon(E2, F2, F3, E3) → poly142, e2_7, f2_5, f3_4, e3_6
  146. Polygon(E3, F3, F4, E4) → poly143, e3_7, f3_5, f4_4, e4_6
  147. Polygon(E4, F4, F5, E5) → poly144, e4_7, f4_5, f5_4, e5_6
  148. Polygon(E5, F5, F6, E6) → poly145, e5_7, f5_5, f6_4, e6_6
  149. Polygon(E6, F6, F7, E7) → poly146, e6_7, f6_5, f7_4, e7_6
  150. Polygon(E7, F7, F8, E8) → poly147, e7_7, f7_5, f8_4, e8_6
  151. Polygon(E8, F8, F9, E9) → poly148, e8_7, f8_5, f9_4, e9_6
  152. Polygon(E9, F9, F10, E10) → poly149, e9_7, f9_5, f10_4, e10_6
  153. Polygon(E10, F10, F11, E11) → poly150, e10_7, f10_5, f11_2, e11_3
  154. Polygon(F1, G1, G2, F2) → poly151, f1_3, g1_2, g2_4, f2_6
  155. Polygon(F2, G2, G3, F3) → poly152, f2_7, g2_5, g3_4, f3_6
  156. Polygon(F3, G3, G4, F4) → poly153, f3_7, g3_5, g4_4, f4_6
  157. Polygon(F4, G4, G5, F5) → poly154, f4_7, g4_5, g5_4, f5_6
  158. Polygon(F5, G5, G6, F6) → poly155, f5_7, g5_5, g6_4, f6_6
  159. Polygon(F6, G6, G7, F7) → poly156, f6_7, g6_5, g7_4, f7_6
  160. Polygon(F7, G7, G8, F8) → poly157, f7_7, g7_5, g8_4, f8_6
  161. Polygon(F8, G8, G9, F9) → poly158, f8_7, g8_5, g9_4, f9_6
  162. Polygon(F9, G9, G10, F10) → poly159, f9_7, g9_5, g10_4, f10_6
  163. Polygon(F10, G10, G11, F11) → poly160, f10_7, g10_5, g11_2, f11_3
  164. Polygon(G1, H1, H2, G2) → poly161, g1_3, h1_2, h2_4, g2_6
  165. Polygon(G2, H2, H3, G3) → poly162, g2_7, h2_5, h3_4, g3_6
  166. Polygon(G3, H3, H4, G4) → poly163, g3_7, h3_5, h4_4, g4_6
  167. Polygon(G4, H4, H5, G5) → poly164, g4_7, h4_5, h5_4, g5_6
  168. Polygon(G5, H5, H6, G6) → poly165, g5_7, h5_5, h6_4, g6_6
  169. Polygon(G6, H6, H7, G7) → poly166, g6_7, h6_5, h7_4, g7_6
  170. Polygon(G7, H7, H8, G8) → poly167, g7_7, h7_5, h8_4, g8_6
  171. Polygon(G8, H8, H9, G9) → poly168, g8_7, h8_5, h9_4, g9_6
  172. Polygon(G9, H9, H10, G10) → poly169, g9_7, h9_5, h10_4, g10_6
  173. Polygon(G10, H10, H11, G11) → poly170, g10_7, h10_5, h11_2, g11_3
  174. Polygon(H1, I1, I2, H2) → poly171, h1_3, i1_2, i2_4, h2_6
  175. Polygon(H2, I2, I3, H3) → poly172, h2_7, i2_5, i3_4, h3_6
  176. Polygon(H3, I3, I4, H4) → poly173, h3_7, i3_5, i4_4, h4_6
  177. Polygon(H4, I4, I5, H5) → poly174, h4_7, i4_5, i5_4, h5_6
  178. Polygon(H5, I5, I6, H6) → poly175, h5_7, i5_5, i6_4, h6_6
  179. Polygon(H6, I6, I7, H7) → poly176, h6_7, i6_5, i7_4, h7_6
  180. Polygon(H7, I7, I8, H8) → poly177, h7_7, i7_5, i8_4, h8_6
  181. Polygon(H8, I8, I9, H9) → poly178, h8_7, i8_5, i9_4, h9_6
  182. Polygon(H9, I9, I10, H10) → poly179, h9_7, i9_5, i10_4, h10_6
  183. Polygon(H10, I10, I11, H11) → poly180, h10_7, i10_5, i11_2, h11_3
  184. Polygon(I1, J1, J2, I2) → poly181, i1_3, j1_2, j2_4, i2_6
  185. Polygon(I2, J2, J3, I3) → poly182, i2_7, j2_5, j3_4, i3_6
  186. Polygon(I3, J3, J4, I4) → poly183, i3_7, j3_5, j4_4, i4_6
  187. Polygon(I4, J4, J5, I5) → poly184, i4_7, j4_5, j5_4, i5_6
  188. Polygon(I5, J5, J6, I6) → poly185, i5_7, j5_5, j6_4, i6_6
  189. Polygon(I6, J6, J7, I7) → poly186, i6_7, j6_5, j7_4, i7_6
  190. Polygon(I7, J7, J8, I8) → poly187, i7_7, j7_5, j8_4, i8_6
  191. Polygon(I8, J8, J9, I9) → poly188, i8_7, j8_5, j9_4, i9_6
  192. Polygon(I9, J9, J10, I10) → poly189, i9_7, j9_5, j10_4, i10_6
  193. Polygon(I10, J10, J11, I11) → poly190, i10_7, j10_5, j11_2, i11_3
  194. Polygon(J1, K1, K2, J2) → poly191, j1_3, k1_1, k2_2, j2_6
  195. Polygon(J2, K2, K3, J3) → poly192, j2_7, k2_3, k3_2, j3_6
  196. Polygon(J3, K3, K4, J4) → poly193, j3_7, k3_3, k4_2, j4_6
  197. Polygon(J4, K4, K5, J5) → poly194, j4_7, k4_3, k5_2, j5_6
  198. Polygon(J5, K5, K6, J6) → poly195, j5_7, k5_3, k6_2, j6_6
  199. Polygon(J6, K6, K7, J7) → poly196, j6_7, k6_3, k7_2, j7_6
  200. Polygon(J7, K7, K8, J8) → poly197, j7_7, k7_3, k8_2, j8_6
  201. Polygon(J8, K8, K9, J9) → poly198, j8_7, k8_3, k9_2, j9_6
  202. Polygon(J9, K9, K10, J10) → poly199, j9_7, k9_3, k10_2, j10_6
  203. Polygon(J10, K10, K11, J11) → poly200, j10_7, k10_3, k11_1, j11_3

AI Drawing Prompt Reference

Draw a complex geometric figure composed of multiple polygons arranged around a central point, with sizes and positions controlled by randomly generated percentage values to demonstrate the conversion between percents and fractions. The center is the intersection of the coordinate axes, with outward-expanding polygons that grow larger, creating a layered effect. Each polygon shares vertices with others, forming a intricate network that illustrates the relationship between coordinate geometry and functions.
The prompt above was compiled from the original drawing commands and is for reference only.