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Monkey Math

Monkey Math
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2014-04-19 11:39
FunctionSequenceGeometric Construction
This example uses a spreadsheet to help solve an nrich problem. It demonstrates how to use GeoGebra commands like DivisorsList, Factors, and Element to analyze factors and divisors. Core math concepts include fractions, scalene triangles, and quadratic functions. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. DivisorsList(A1) → B1
  2. Factors(A1) →
  3. Element(B1, Length[B1] - 1) → C1
  4. DivisorsList(A2) → B2
  5. Factors(A2) →
  6. Element(B2, Length[B2] - 1) → C2
  7. DivisorsList(A3) → B3
  8. Factors(A3) →
  9. Element(B3, Length[B3] - 1) → C3
  10. DivisorsList(A4) → B4
  11. Factors(A4) →
  12. Element(B4, Length[B4] - 1) → C4
  13. DivisorsList(A5) → B5
  14. Factors(A5) →
  15. Element(B5, Length[B5] - 1) → C5
  16. DivisorsList(A6) → B6
  17. Factors(A6) →
  18. Element(B6, Length[B6] - 1) → C6
  19. DivisorsList(A7) → B7
  20. Factors(A7) →
  21. Element(B7, Length[B7] - 1) → C7
  22. DivisorsList(A8) → B8
  23. Factors(A8) →
  24. Element(B8, Length[B8] - 1) → C8
  25. DivisorsList(A9) → B9
  26. Factors(A9) →
  27. Element(B9, Length[B9] - 1) → C9
  28. DivisorsList(A10) → B10
  29. Factors(A10) →
  30. Element(B10, Length[B10] - 1) → C10
  31. DivisorsList(A11) → B11
  32. Factors(A11) →
  33. Element(B11, Length[B11] - 1) → C11
  34. DivisorsList(A12) → B12
  35. Factors(A12) →
  36. Element(B12, Length[B12] - 1) → C12
  37. DivisorsList(A13) → B13
  38. Factors(A13) →
  39. Element(B13, Length[B13] - 1) → C13
  40. DivisorsList(A14) → B14
  41. Factors(A14) →
  42. Element(B14, Length[B14] - 1) → C14
  43. DivisorsList(A15) → B15
  44. Factors(A15) →
  45. Element(B15, Length[B15] - 1) → C15
  46. DivisorsList(A16) → B16
  47. Factors(A16) →
  48. Element(B16, Length[B16] - 1) → C16
  49. DivisorsList(A17) → B17
  50. Factors(A17) →
  51. Element(B17, Length[B17] - 1) → C17
  52. DivisorsList(A18) → B18
  53. Factors(A18) →
  54. Element(B18, Length[B18] - 1) → C18
  55. DivisorsList(A19) → B19
  56. Factors(A19) →
  57. Element(B19, Length[B19] - 1) → C19
  58. DivisorsList(A20) → B20
  59. Factors(A20) →
  60. Element(B20, Length[B20] - 1) → C20
  61. Element(B1, Length[B1] - 2) → D1
  62. Element(B2, Length[B2] - 2) → D2
  63. Element(B3, Length[B3] - 2) → D3
  64. Element(B4, Length[B4] - 2) → D4
  65. Element(B5, Length[B5] - 2) → D5
  66. Element(B6, Length[B6] - 2) → D6
  67. Element(B7, Length[B7] - 2) → D7
  68. Element(B8, Length[B8] - 2) → D8
  69. Element(B9, Length[B9] - 2) → D9
  70. Element(B10, Length[B10] - 2) → D10
  71. Element(B11, Length[B11] - 2) → D11
  72. Element(B12, Length[B12] - 2) → D12
  73. Element(B13, Length[B13] - 2) → D13
  74. Element(B14, Length[B14] - 2) → D14
  75. Element(B15, Length[B15] - 2) → D15
  76. Element(B16, Length[B16] - 2) → D16
  77. Element(B17, Length[B17] - 2) → D17
  78. Element(B18, Length[B18] - 2) → D18
  79. Element(B19, Length[B19] - 2) → D19
  80. Element(B20, Length[B20] - 2) → D20
  81. DivisorsList(E2) → F2
  82. Factors(E2) →
  83. Element(F2, Length[F2] - 1) → G2
  84. DivisorsList(E3) → F3
  85. Factors(E3) →
  86. Element(F3, Length[F3] - 1) → G3
  87. DivisorsList(E4) → F4
  88. Factors(E4) →
  89. Element(F4, Length[F4] - 1) → G4
  90. DivisorsList(E5) → F5
  91. Factors(E5) →
  92. Element(F5, Length[F5] - 1) → G5
  93. DivisorsList(E6) → F6
  94. Factors(E6) →
  95. Element(F6, Length[F6] - 1) → G6
  96. DivisorsList(E7) → F7
  97. Factors(E7) →
  98. Element(F7, Length[F7] - 1) → G7
  99. DivisorsList(E8) → F8
  100. Factors(E8) →
  101. Element(F8, Length[F8] - 1) → G8
  102. DivisorsList(E9) → F9
  103. Factors(E9) →
  104. Element(F9, Length[F9] - 1) → G9
  105. DivisorsList(E10) → F10
  106. Factors(E10) →
  107. Element(F10, Length[F10] - 1) → G10
  108. DivisorsList(E11) → F11
  109. Factors(E11) →
  110. Element(F11, Length[F11] - 1) → G11
  111. DivisorsList(E12) → F12
  112. Factors(E12) →
  113. Element(F12, Length[F12] - 1) → G12
  114. DivisorsList(E13) → F13
  115. Factors(E13) →
  116. Element(F13, Length[F13] - 1) → G13
  117. DivisorsList(E14) → F14
  118. Factors(E14) →
  119. Element(F14, Length[F14] - 1) → G14
  120. DivisorsList(E15) → F15
  121. Factors(E15) →
  122. Element(F15, Length[F15] - 1) → G15
  123. DivisorsList(E16) → F16
  124. Factors(E16) →
  125. Element(F16, Length[F16] - 1) → G16
  126. DivisorsList(E17) → F17
  127. Factors(E17) →
  128. Element(F17, Length[F17] - 1) → G17
  129. DivisorsList(E18) → F18
  130. Factors(E18) →
  131. Element(F18, Length[F18] - 1) → G18
  132. DivisorsList(E19) → F19
  133. Factors(E19) →
  134. Element(F19, Length[F19] - 1) → G19
  135. DivisorsList(H2) → I2
  136. Factors(H2) →
  137. Element(I2, Length[I2] - 1) → J2
  138. DivisorsList(H3) → I3
  139. Factors(H3) →
  140. Element(I3, Length[I3] - 1) → J3
  141. DivisorsList(H4) → I4
  142. Factors(H4) →
  143. Element(I4, Length[I4] - 1) → J4
  144. DivisorsList(H5) → I5
  145. Factors(H5) →
  146. Element(I5, Length[I5] - 1) → J5
  147. DivisorsList(H6) → I6
  148. Factors(H6) →
  149. Element(I6, Length[I6] - 1) → J6
  150. DivisorsList(H7) → I7
  151. Factors(H7) →
  152. Element(I7, Length[I7] - 1) → J7
  153. DivisorsList(H8) → I8
  154. Factors(H8) →
  155. Element(I8, Length[I8] - 1) → J8
  156. DivisorsList(H9) → I9
  157. Factors(H9) →
  158. Element(I9, Length[I9] - 1) → J9
  159. DivisorsList(H10) → I10
  160. Factors(H10) →
  161. Element(I10, Length[I10] - 1) → J10
  162. DivisorsList(H11) → I11
  163. Factors(H11) →
  164. Element(I11, Length[I11] - 1) → J11
  165. DivisorsList(H12) → I12
  166. Factors(H12) →
  167. Element(I12, Length[I12] - 1) → J12
  168. DivisorsList(H13) → I13
  169. Factors(H13) →
  170. Element(I13, Length[I13] - 1) → J13
  171. DivisorsList(H14) → I14
  172. Factors(H14) →
  173. Element(I14, Length[I14] - 1) → J14
  174. DivisorsList(H15) → I15
  175. Factors(H15) →
  176. Element(I15, Length[I15] - 1) → J15
  177. DivisorsList(H16) → I16
  178. Factors(H16) →
  179. Element(I16, Length[I16] - 1) → J16
  180. DivisorsList(H17) → I17
  181. Factors(H17) →
  182. Element(I17, Length[I17] - 1) → J17
  183. DivisorsList(H18) → I18
  184. Factors(H18) →
  185. Element(I18, Length[I18] - 1) → J18
  186. DivisorsList(H19) → I19
  187. Factors(H19) →
  188. Element(I19, Length[I19] - 1) → J19
  189. DivisorsList(H20) → I20
  190. Factors(H20) →
  191. Element(I20, Length[I20] - 1) → J20

AI Drawing Prompt Reference

Draw multiple function graphs including fractions, scalene triangles, and quadratic functions, labeling key factors and divisors. Process each number from 1 to 16 using DivisorsList and Factors commands, taking the last element as a key point, and connect these points in sequence to form a geometric construction.
The prompt above was compiled from the original drawing commands and is for reference only.