Types of Fractions

Types of Fractions
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2021-07-19 15:45
This GeoGebra example demonstrates how to recognize different types of fractions, including proper and improper fractions. It also involves the concept of fractions, including the relationship between the numerator and denominator. Through this example, students can learn about the characteristics of different types of fractions and how to distinguish them. Suitable for 5-6 grade level. This examp

GeoGebra Commands & Parameters

  1. Distance(P1LeftSlider, P2LeftSlider) → sliderLeftSize
  2. Sequence(P1RightSlider + ((i * Distance[P2RightSlider, P1RightSlider] / 12) * (1, 0)), i, 1, 12) → allowedPosRightSlider
  3. Point(allowedPosRightSlider) → sliderPRight
  4. Distance(P1RightSlider, P2RightSlider) → sliderRightSize
  5. Sequence(P1LeftSlider + ((i * Distance[P2LeftSlider, P1LeftSlider] / 36) * (1, 0)), i, 1, (3 * nennerVal)) → allowedPosLeftSlider
  6. Point(allowedPosLeftSlider) → sliderPLeft
  7. Circle(M, 2) → c
  8. Line(M, yAxis) → f
  9. Intersect(c, f) → C, D
  10. Rotate(D, ((-2 * pi / 360) * bruchwinkel), M) → D1
  11. Rotate(D1, ((-2 * pi / 360) * bruchwinkel), M) → D2
  12. Rotate(D2, ((-2 * pi / 360) * bruchwinkel), M) → D3
  13. Rotate(D3, ((-2 * pi / 360) * bruchwinkel), M) → D4
  14. Rotate(D4, ((-2 * pi / 360) * bruchwinkel), M) → D5
  15. Rotate(D5, ((-2 * pi / 360) * bruchwinkel), M) → D6
  16. Rotate(D6, ((-2 * pi / 360) * bruchwinkel), M) → D7
  17. Rotate(D7, ((-2 * pi / 360) * bruchwinkel), M) → D8
  18. Rotate(D8, ((-2 * pi / 360) * bruchwinkel), M) → D9
  19. Segment(M, D) → g
  20. Segment(M, D1) → h
  21. Segment(M, D2) → i
  22. Segment(M, D3) → j
  23. Segment(M, D4) → k
  24. Segment(M, D5) → l
  25. Segment(M, D6) → m
  26. Segment(M, D7) → n
  27. Segment(M, D8) → p
  28. Segment(M, D9) → q
  29. CircleSector(M, D1, D) → s1
  30. CircleSector(M, D2, D1) → s2
  31. CircleSector(M, D3, D2) → s3
  32. CircleSector(M, D4, D3) → s4
  33. CircleSector(M, D5, D4) → s5
  34. CircleSector(M, D6, D5) → s6
  35. CircleSector(M, D7, D6) → s7
  36. CircleSector(M, D8, D7) → s8
  37. CircleSector(M, D9, D8) → s9
  38. Rotate(D9, ((-2 * pi / 360) * bruchwinkel), M) → D10
  39. Segment(D10, M) → s
  40. Rotate(D10, ((-2 * pi / 360) * bruchwinkel), M) → D11
  41. Segment(D11, M) → t
  42. CircleSector(M, D10, D9) → s10
  43. CircleSector(M, D11, D10) → s11
  44. Rotate(D11, ((-2 * pi / 360) * bruchwinkel), M) → D12
  45. CircleSector(M, D12, D11) → s12
  46. Point(xAxis) → M2
  47. Circle(M2, 2) → d
  48. OrthogonalLine(M2, xAxis) → r
  49. Intersect(d, r) → B, E
  50. Segment(M2, E) → f_1
  51. Rotate(E, ((-2 * pi / 360) * bruchwinkel), M2) → E1
  52. Rotate(E1, ((-2 * pi / 360) * bruchwinkel), M2) → E2
  53. Rotate(E2, ((-2 * pi / 360) * bruchwinkel), M2) → E3
  54. Rotate(E3, ((-2 * pi / 360) * bruchwinkel), M2) → E4
  55. Rotate(E4, ((-2 * pi / 360) * bruchwinkel), M2) → E5
  56. Rotate(E5, ((-2 * pi / 360) * bruchwinkel), M2) → E6
  57. CircleSector(M2, E1, E) → c_1
  58. CircleSector(M2, E2, E1) → c_2
  59. CircleSector(M2, E3, E2) → c_3
  60. CircleSector(M2, E4, E3) → c_4
  61. CircleSector(M2, E5, E4) → c_5
  62. CircleSector(M2, E6, E5) → c_6
  63. Rotate(E6, ((-2 * pi / 360) * bruchwinkel), M2) → E7
  64. Rotate(E7, ((-2 * pi / 360) * bruchwinkel), M2) → E8
  65. Rotate(E8, ((-2 * pi / 360) * bruchwinkel), M2) → E9
  66. Rotate(E9, ((-2 * pi / 360) * bruchwinkel), M2) → E10
  67. Rotate(E10, ((-2 * pi / 360) * bruchwinkel), M2) → E11
  68. Rotate(E11, ((-2 * pi / 360) * bruchwinkel), M2) → E12
  69. CircleSector(M2, E7, E6) → c_7
  70. CircleSector(M2, E8, E7) → c_8
  71. CircleSector(M2, E9, E8) → c_9
  72. CircleSector(M2, E10, E9) → c_10
  73. CircleSector(M2, E11, E10) → c_11
  74. CircleSector(M2, E, E11) → c_12
  75. Segment(M2, E1) → b
  76. Segment(M2, E2) → e
  77. Segment(M2, E3) → g_1
  78. Segment(M2, E4) → h_1
  79. Segment(M2, E5) → i_1
  80. Segment(M2, E6) → j_1
  81. Segment(M2, E7) → k_1
  82. Segment(M2, E8) → l_1
  83. Segment(M2, E9) → m_1
  84. Segment(M2, E10) → n_1
  85. Segment(M2, E11) → p_1
  86. Point(xAxis) → M3
  87. Circle(M3, 2) → d_1
  88. Circle(M, 2) → ganze1
  89. Circle(M2, 2) → ganze2
  90. Circle(M3, 2) → ganze3
  91. OrthogonalLine(M3, xAxis) → q_1
  92. Intersect(d_1, q_1) → F, F0
  93. Segment(M3, F0) → r_1
  94. Rotate(F0, ((-2 * pi / 360) * bruchwinkel), M3) → F1
  95. Rotate(F1, ((-2 * pi / 360) * bruchwinkel), M3) → F2
  96. Rotate(F2, ((-2 * pi / 360) * bruchwinkel), M3) → F3
  97. Rotate(F3, ((-2 * pi / 360) * bruchwinkel), M3) → F4
  98. Rotate(F4, ((-2 * pi / 360) * bruchwinkel), M3) → F5
  99. Rotate(F5, ((-2 * pi / 360) * bruchwinkel), M3) → F6
  100. Rotate(F6, ((-2 * pi / 360) * bruchwinkel), M3) → F7
  101. Rotate(F7, ((-2 * pi / 360) * bruchwinkel), M3) → F8
  102. Rotate(F8, ((-2 * pi / 360) * bruchwinkel), M3) → F9
  103. Rotate(F9, ((-2 * pi / 360) * bruchwinkel), M3) → F10
  104. Rotate(F10, ((-2 * pi / 360) * bruchwinkel), M3) → F11
  105. Rotate(F11, ((-2 * pi / 360) * bruchwinkel), M3) → F12
  106. Segment(M3, F1) → s_1
  107. Segment(M3, F2) → t_1
  108. Segment(M3, F3) → a_1
  109. Segment(M3, F4) → b_1
  110. Segment(M3, F5) → e_1
  111. Segment(M3, F6) → f_2
  112. Segment(M3, F7) → g_2
  113. Segment(M3, F8) → h_2
  114. Segment(M3, F9) → i_2
  115. Segment(M3, F10) → j_2
  116. Segment(M3, F11) → k_2
  117. Segment(M3, F12) → l_2
  118. CircleSector(M3, F1, F0) → d_2
  119. CircleSector(M3, F2, F1) → e_2
  120. CircleSector(M3, F3, F2) → p_2
  121. CircleSector(M3, F4, F3) → q_2
  122. CircleSector(M3, F5, F4) → r_2
  123. CircleSector(M3, F6, F5) → s_2
  124. CircleSector(M3, F7, F6) → t_2
  125. CircleSector(M3, F8, F7) → d_3
  126. CircleSector(M3, F9, F8) → e_3
  127. CircleSector(M3, F10, F9) → f_3
  128. CircleSector(M3, F11, F10) → g_3
  129. CircleSector(M3, F12, F11) → h_3
  130. Segment(P1LeftSlider, P2LeftSlider) → sliderLeft
  131. Segment(P1RightSlider, P2RightSlider) → sliderRight
  132. SelectedIndex(echterBruchAuswahl) → echterBruchIndex
  133. SelectedIndex(unechterBruchAuswahl) → unechterBruchIndex
  134. Textfield(answerStammbruch) → InputBox1
  135. SelectedIndex(uneigentlicherBruchAuswahl) → uneigentlicherBruchIndex
  136. CountIf(x ≠ 0, anyQuestionVisible) → visible
  137. Mod(Zähler, Nenner) → mod