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Clock Manipulative

Clock Manipulative
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2015-11-07 21:36
AngleFunctionTrigonometrySequenceGeometric Construction
This example dynamically demonstrates the movement of clock hands, illustrating the relationship between angles and linear functions. It involves core math concepts like angles, linear functions, sequences, trigonometric functions, and interest calculation. Construction highlights the use of commands such as Vector, Angle, Sequence, Point, OrthogonalLine, Textfield, and Segment in GeoGebra. Suitable for high school mathematics education to understand the mathematical principles behind clock motion.

GeoGebra Commands & Parameters

  1. Vector(H) → u
  2. Vector(M) → v
  3. Angle(M, (0, 0), (0, 1)) → m
  4. Sequence((((1.1 * k) * sin(i)), ((1.1 * k) * cos(i))), i, 0, 6.28319, 0.5236) → liste1
  5. Sequence((sin(i + m / 12), cos(i + m / 12)), i, 0, 6.28319, 0.5236) → listeH
  6. Angle(H, (0, 0), (0, 1)) → h
  7. Angle(M, (0, 0), H) → α
  8. Sequence(((k * sin(i)), (k * cos(i))), i, 0, 6.28319, 0.10471975511965977) → listeM
  9. Point(yAxis) → A
  10. OrthogonalLine(A, yAxis) → b
  11. Textfield(an) → ChampTexte1
  12. Textfield(rh) → ChampTexte2
  13. Textfield(rm) → ChampTexte3
  14. Sequence(Text[i - 1, Element[liste1, i] + ((0.4 * sin(((i - 1) * π / 6))) - 0.1, (0.4 * cos(((i - 1) * π / 6))) - (0.1 * sin((i * π / 12))))], i, 1, 12) → listeTxt
  15. Sequence(Text[i - 1, Element[listeH, i] + ((0.4 * sin(((i - 1) * π / 6))) - 0.1, (0.4 * cos(((i - 1) * π / 6))) - (0.1 * sin((i * π / 12))))], i, 1, 12) → listeTH
  16. Segment(D, (0, y(D))) → c
  17. Segment(D, (x(D), 0)) → d
  18. Sequence(Segment[(0, 0), Element[liste1, i]], i, 1, 12) → liste2