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Simplifying Fractions with the GCD

Simplifying Fractions with the GCD
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2024-12-07 03:45
In collections Wiederholung II: Erweitern & Kürzen, Darstellungsarten
This example demonstrates how to simplify fractions using the Greatest Common Divisor (GCD); Core math concepts include GCD, fraction simplification, number sense, and fraction operations; Construction highlights: Utilizes GeoGebra commands/objects like SpeechBubbleRight, CircleArc, Point, Vector, Textfield, SpeechBubbleLeft, Segment for interactive visualization; Suitable for 5-6th grade students

GeoGebra Commands & Parameters

  1. SpeechBubbleRight(E, 6, 1.5) → bubble1
  2. CircleArc(F, G, H) → c
  3. Point(c) → I
  4. Vector(I, J) → u
  5. CircleArc(F_{1}, G_{1}, H_{1}) → c_{1}
  6. Point(c_{1}) → I_{1}
  7. Vector(I_{1}, J_{1}) → u_{1}
  8. CircleArc(F_{2}, G_{2}, H_{2}) → c_{2}
  9. Point(c_{2}) → I_{2}
  10. Vector(I_{2}, J_{2}) → u_{2}
  11. CircleArc(K, L, M) → d
  12. Point(d) → N
  13. Point(d) → O
  14. Vector(N, O) → v
  15. CircleArc(K_{1}, L_{1}, M_{1}) → d_{1}
  16. Point(d_{1}) → N_{1}
  17. Point(d_{1}) → O_{1}
  18. Vector(N_{1}, O_{1}) → v_{1}
  19. CircleArc(K_{2}, L_{2}, M_{2}) → d_{2}
  20. Point(d_{2}) → N_{2}
  21. Point(d_{2}) → O_{2}
  22. Vector(N_{2}, O_{2}) → v_{2}
  23. SpeechBubbleRight(E, 9.8, 2) → bubble2
  24. Textfield(aInput) → InputBox1
  25. SpeechBubbleLeft(T, 10, 1) → bubble3
  26. Textfield(bInput) → InputBox2
  27. Textfield(cInput) → InputBox3
  28. Segment(U, V) → f
  29. CircleArc(W, Z, A_1) → e
  30. Point(e) → B_1
  31. Vector(B_1, C_1) → w
  32. CircleArc(D_1, E_1, P_1) → g
  33. Point(g) → Q_1
  34. Vector(Q_1, R_1) → a
  35. Textfield(dInput) → InputBox4
  36. Textfield(eInput) → InputBox5