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P.3 Using a Weighing Scale to Weigh Objects (English Version)

P.3 Using a Weighing Scale to Weigh Objects (English Version)
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2020-05-22 19:02
CirclePolygonAngleSequenceSlider Animation
① This interactive GeoGebra example simulates a weighing scale to demonstrate how to weigh objects and read the mass, helping students grasp the concept of mass and measurement. ② Core mathematical concepts include number comparison, units (grams/kilograms), and simple arithmetic operations, along with visual elements like circles and polygons. ③ Construction highlights: Based on the construction summary, the example uses GeoGebra commands such as Circle, Point, Sequence, Polygon, Segment, Vector, Textfield, Angle, and Random to build the scale, pointer, scale marks, random objects, and text input fields, enabling dynamic weighing through sliders or random values. ④ Suitable for lower primary grades (e.g., P.3) in mathematics education, for learning to use scales, reading measurements, comparing weights, and as a bilingual teaching resource.

GeoGebra Commands & Parameters

  1. Circle(E, 3.2) → e
  2. Point(e) → F
  3. Sequence(Rotate[F, (9 * a°), E], a, 0, 39) → list_{17}
  4. Sequence(Rotate[F, (45 * a°), E], a, 0, 7) → list_{11}
  5. Sequence(Rotate[F, (18 * a°), E], a, 0, 19) → list_5
  6. Polygon(A, B, D, C) → q1, a, b, d, c
  7. Segment(F, F_{1}) → f
  8. Sequence(Segment[Rotate[F, (90 * a°), E], Rotate[F_{1}, (90 * a°), E]], a, 0, 3) → list_1
  9. Segment(F, F_{2}) → f_3
  10. Sequence(Sequence[Segment[Rotate[F, (90 * a°) + (18 * b°), E], Rotate[F_{2}, (90 * a°) + (18 * b°), E]], b, 1, 4], a, 0, 3) → list_2
  11. Segment(Z_{list10-1}, Z_{list10-3}) → z_{1}
  12. Segment(Z_{list10-6}, Z_{list10-4}) → w_{1}
  13. Segment(Z_{list10-3}, Z_{list10-6}) → wz_{1}
  14. Circle(G, 1) → g
  15. Point(g) → H
  16. Segment(H, H_{1}) → h
  17. Sequence(Segment[Rotate[H, (90 * a°), G], Rotate[H_{1}, (90 * a°), G]], a, 0, 3) → list_4
  18. Circle(E, 3.2) → e_{1}
  19. Polygon(I, I', I''', I'') → q2, i, i', i''', i''
  20. Polygon(J, J', J''', J'') → q3, j, j', j''', j''
  21. Polygon(K, K', K''', K'') → q4, k, k', k''', k''
  22. Vector(E, F) → u
  23. Point(list_5) → F_{list5}
  24. Vector(E, F_{list5}) → v_{list5}
  25. Polygon(Z_{list10-2}, Z_{list10-5}, Z_{list10-4}, Z_{list10-1}) → q5, z', w', w_2, z_2
  26. Polygon(Z_{list10-2}, Z_{list10-5}, Z_{list10-4}, Z_{list10-1}) → q6, z'_1, w'_1, w_3, z_3
  27. Polygon(Z_{list1-1}, Z_{list1-2}, Z_{list1-4}, Z_{list1-3}) → q7, z_{list1-1}, z_{list1-2}, z_{list1-4}, z_{list1-3}
  28. Sequence(Segment[Rotate[F, (72 * a°), E], Rotate[F_{1}, (72 * a°), E]], a, 0, 4) → list_{6}
  29. Segment(Z_{list2-1}, Z_{list2-3}) → l
  30. Segment(Z_{list2-2}, Z_{list2-4}) → m
  31. Segment(Z_{list2-3}, Z_{list2-4}) → n
  32. Polygon(Z_{list2-1}, Z_{list2-2}, Z_{list2-6}, Z_{list2-5}) → q8, w_{list2-1}, w_{list2-2}, w_{list2-6}, w_{list2-5}
  33. Circle(N, 1) → p
  34. Segment(N', N'') → q
  35. Sequence(Segment[Rotate[N', (72 * a°), N], Rotate[N'', (72 * a°), N]], a, 0, 4) → list_7
  36. Polygon(Z_{list6-1}, Z_{list6-2}, Z_{list6-3}, Z_{list6-4}) → q9, z_{list6-1}, z_{list6-2}, z_{list6-3}, z_{list6-4}
  37. Sequence(Segment[Rotate[F, (36 * a°), E], Rotate[F_{1}, (36 * a°), E]], a, 0, 9) → list_8
  38. Circle(O, 1) → r
  39. Segment(O', O'') → s
  40. Sequence(Segment[Rotate[O', (36 * a°), O], Rotate[O'', (36 * a°), O]], a, 0, 9) → list_9
  41. Polygon(Z_{list8-1}, Z_{list8-2}, Z_{list8-4}, Z_{list8-3}) → q10, z_{list8-1}, z_{list8-2}, z_{list8-4}, z_{list8-3}
  42. Sequence(Sequence[Segment[Rotate[F, (90 * a°) + (45 * b°), E], Rotate[F_{2}, (90 * a°) + (45 * b°), E]], b, 1, 1], a, 0, 3) → list_{10}
  43. Point(list_{11}) → F_{list11}
  44. Vector(E, F_{list11}) → v_{list11}
  45. Segment(Z_{list10-7}, Z_{list10-8}) → t
  46. Sequence(Sequence[Segment[Rotate[F, (72 * a°) + (36 * b°), E], Rotate[F_{2}, (72 * a°) + (36 * b°), E]], b, 1, 1], a, 0, 4) → list_{12}
  47. Sequence(Rotate[F, (36 * a°), E], a, 0, 9) → list_{13}
  48. Point(list_{13}) → F_{list13}
  49. Vector(E, F_{list13}) → v_{list13}
  50. Sequence(Sequence[Segment[Rotate[F, (90 * a°) + (9 * b°), E], Rotate[F_{2}, (90 * a°) + (9 * b°), E]], b, 1, 9], a, 0, 3) → list_{14}
  51. Segment(F, F_{3}) → f_{2}
  52. Sequence(Sequence[Segment[Rotate[F, (90 * a°) + (45 * b°), E], Rotate[F_{3}, (90 * a°) + (45 * b°), E]], b, 1, 1], a, 0, 3) → list_{15}
  53. Segment(Z_{list14-2}, Z_{list14-1}) → f_1
  54. Segment(Z_{list14-4}, Z_{list14-3}) → g_1
  55. Segment(Z_{list14-1}, Z_{list14-3}) → h_1
  56. Sequence(Segment[(a, -3), (a, -2.6)], a, 14 + 2 / 10, 16 - 2 / 10, 2 / 10) → list_{16}
  57. Segment(Z_{list14-5}, Z_{list14-6}) → i_1
  58. Point(list_{17}) → F_{list17}
  59. Sequence(Segment[(a, -3), (a, -2.5)], a, 11 + 2 / 5, 13 - 2 / 5, 2 / 5) → list_3
  60. Vector(E, F_{list17}) → v_{list17}
  61. Polygon(Z_{list14-2}, Z_{list14-4}, Z_{list14-8}, Z_{list14-7}) → q11, z_{list14-2}, z_{list14-4}, z_{list14-8}, z_{list14-7}
  62. Sequence(Sequence[Segment[Rotate[F, (72 * a°) + (14.4 * b°), E], Rotate[F_{2}, (72 * a°) + (14.4 * b°), E]], b, 1, 4], a, 0, 4) → list_{18}
  63. Sequence(Rotate[F, (14.4 * a°), E], a, 0, 24) → list_{19}
  64. Point(list_{19}) → F_{list19}
  65. Vector(E, F_{list19}) → v_{list19}
  66. Sequence(Sequence[Segment[Rotate[F, (72 * a°) + (7.2 * b°), E], Rotate[F_{2}, (72 * a°) + (7.2 * b°), E]], b, 1, 9], a, 0, 4) → list_{20}
  67. Sequence(Rotate[F, (7.2 * a°), E], a, 0, 49) → list_{21}
  68. Point(list_{21}) → F_{list21}
  69. Vector(E, F_{list21}) → v_{list21}
  70. Sequence(Sequence[Segment[Rotate[F, (72 * a°) + (36 * b°), E], Rotate[F_{3}, (72 * a°) + (36 * b°), E]], b, 1, 1], a, 0, 4) → list_{22}
  71. Sequence(Sequence[Segment[Rotate[F, (36 * a°) + (18 * b°), E], Rotate[F_{2}, (36 * a°) + (18 * b°), E]], b, 1, 1], a, 0, 9) → list_{23}
  72. Sequence(Rotate[F, (18 * a°), E], a, 0, 19) → list_{24}
  73. Point(list_{24}) → F_{list24}
  74. Vector(E, F_{list24}) → v_{list24}
  75. Sequence(Sequence[Segment[Rotate[F, (36 * a°) + (7.2 * b°), E], Rotate[F_{2}, (36 * a°) + (7.2 * b°), E]], b, 1, 4], a, 0, 9) → list_{25}
  76. Sequence(Rotate[F, (7.2 * a°), E], a, 0, 49) → list_{26}
  77. Point(list_{26}) → F_{list26}
  78. Vector(E, F_{list26}) → v_{list26}
  79. Sequence(Sequence[Segment[Rotate[F, (36 * a°) + (3.6 * b°), E], Rotate[F_{2}, (36 * a°) + (3.6 * b°), E]], b, 1, 9], a, 0, 9) → list_{27}
  80. Sequence(Sequence[Segment[Rotate[F, (36 * a°) + (18 * b°), E], Rotate[F_{3}, (36 * a°) + (18 * b°), E]], b, 1, 1], a, 0, 9) → list_{28}
  81. Sequence(Rotate[F, (3.6 * a°), E], a, 0, 99) → list_{29}
  82. Point(list_{29}) → F_{list29}
  83. Vector(E, F_{list29}) → v_{list29}
  84. Textfield(ans_{1}) → inputBox1
  85. Textfield(ans_{2}) → inputBox2
  86. Textfield(ans_{3}) → inputBox3
  87. Textfield(ans_{4}) → inputBox4
  88. Angle(F_{list11}, E, F) → α_{list11}
  89. Angle(F_{list5}, E, F) → α_{list5}
  90. Angle(F_{list17}, E, F) → α_{list17}
  91. Angle(F_{list13}, E, F) → α_{list13}
  92. Angle(F_{list19}, E, F) → α_{list19}
  93. Angle(F_{list21}, E, F) → α_{list21}
  94. Angle(F_{list24}, E, F) → α_{list24}
  95. Angle(F_{list26}, E, F) → α_{list26}
  96. Angle(F_{list29}, E, F) → α_{list29}
  97. Random(1, 99) → r_{l}
  98. Random(1, 99) → r_{s}
  99. Random(1, 100) → r_{kg}
  100. Polygon(P, Q, R, S) → q12, p_1, q_1, r_1, s_1

AI Drawing Prompt Reference

Draw an interactive weighing scale simulation: a central circular dial with evenly spaced tick marks (longer major ticks and shorter minor ticks) and a rotating pointer. Below the dial, attach a polygonal pan holding randomly shaped objects (like polygons or circles). Around the dial, place several small circles, each with radial tick lines inside, representing different weights or options. The overall layout is symmetric, containing multiple geometric elements to demonstrate weighing and reading measurements.
The prompt above was compiled from the original drawing commands and is for reference only.