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Interactive Fraction Simplification and Extension Practice

Interactive Fraction Simplification and Extension Practice
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2022-09-22 15:35
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In collections Bruchzahlen: Erweitern und Kürzen
This GeoGebra material provides practice on fraction simplification (Kürzen) and extension (Erweitern) through two multiple-choice questions and one open-ended problem. The first question asks students to find the missing denominator, the second asks for the missing numerator, and the open question requires identifying and correcting an error in a step-by-step fraction reduction process. The construction uses Textfield, Segment, Point, Vector, CircleArc for geometric visualization of fractions, with If conditional statements for immediate feedback and SpeechBubble for hints. Designed for grade 5-6 students, suitable for classroom practice or homework.

GeoGebra Commands & Parameters

  1. Textfield(aInput) → InputBox1
  2. Textfield(bInput) → InputBox2
  3. Textfield(cInput) → InputBox3
  4. Textfield(dInput) → InputBox4
  5. Segment(A, B) → f
  6. CircleArc(C, D, E) → c
  7. CircleArc(F, G, H) → d
  8. Point(c) → I
  9. Vector(I, J) → u
  10. Point(d) → K
  11. Vector(K, L) → v
  12. If(cInput ≟ 3 ∧ dInput ≟ 3, aInput ≟ 18, If[cInput ≟ 6 ∧ dInput ≟ 6, aInput ≟ 6]) → c1
  13. If(cInput ≟ 3 ∧ dInput ≟ 3, bInput ≟ 21, If[cInput ≟ 6 ∧ dInput ≟ 6, bInput ≟ 7]) → c2
  14. Textfield(eInput) → InputBox5
  15. Textfield(fInput) → InputBox6
  16. Textfield(gInput) → InputBox7
  17. Textfield(hInput) → InputBox8
  18. Segment(A_{1}, B_{1}) → f_{1}
  19. CircleArc(C_{1}, D_{1}, E_{1}) → c_{1}
  20. CircleArc(F_{1}, G_{1}, H_{1}) → d_{1}
  21. Point(c_{1}) → I_{1}
  22. Vector(I_{1}, J_{1}) → u_{1}
  23. Point(d_{1}) → K_{1}
  24. Vector(K_{1}, L_{1}) → v_{1}
  25. If(cInput ≟ 3 ∧ dInput ≟ 3, c5 ∧ c6 ∧ c7 ∧ c8, If[cInput ≟ 6 ∧ dInput ≟ 6, c1 ∧ c2 ∧ c3 ∧ c4]) → cor2
  26. SpeechBubbleRight(O, 4.5, 1.7) → bubble1
  27. SpeechBubbleRight(P, 8.3, 2.7) → bubble2
  28. Segment(S, T) → g
  29. Textfield(iInput) → InputBox9
  30. Textfield(jInput) → InputBox10
  31. Textfield(kInput) → InputBox11
  32. Textfield(lInput) → InputBox12
  33. Textfield(mInput) → InputBox13
  34. Segment(U, V) → h
  35. SpeechBubbleLeft(M_1 - (0, 0.2), 7.5, 1.5) → bubble3
  36. Segment(N_1, O_1) → i
  37. Textfield(nInput) → InputBox14
  38. Textfield(oInput) → InputBox15
  39. If(nInput ≟ 9, oInput ≟ 15, If[nInput ≟ 6, oInput ≟ 10, If[nInput ≟ 3, oInput ≟ 5]]) → c15
  40. Textfield(pInput) → InputBox16
  41. Textfield(qInput) → InputBox17
  42. Textfield(rInput) → InputBox18
  43. Textfield(sInput) → InputBox19
  44. Segment(P_1, Q_1) → j
  45. SpeechBubbleRight(T_1, 8.3, 2.7) → poly1

AI Drawing Prompt Reference

Create a classroom-style interactive fraction practice diagram with several editable input boxes for fraction numerator and denominator choices. Draw one pair of connected line segments using fixed endpoints, and place two circular arcs near them to represent two related fraction states. Mark the arc endpoints with points, and draw direction vectors starting from those points. Add a right-aligned speech bubble as a hint for the current selection, and another left-aligned speech bubble to guide an error-correction step. Then include two more line segments representing a second exercise setup, and add a final right-aligned speech bubble for the multi-step task. The displayed hints should depend on the entered input values.
The prompt above was compiled from the original drawing commands and is for reference only.