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Extending Given Denominators

Extending Given Denominators
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2022-08-24 20:59
Geometric Construction
In collections Bruchzahlen: Erweitern und Kürzen
This GeoGebra example demonstrates how to extend given denominators. It involves the core math concept of extending and simplifying fractions. The construction points include using Shuffle, Element, RandomElement, etc. GeoGebra commands/objects. This example is suitable for 5-6 grade students, helping them understand and manipulate fraction concepts.

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[Random[1, 8], i, 1, 100]) → selectedNum, {5, 3, 1, 3, 3, 8, 2, 3, 3, 3, 6, 7, 4, 7, 4, 4, 2, 6, 4, 4, 4, 8, 1, 4, 2, 1, 8, 7, 7, 6, 2, 6, 7, 5, 3, 1, 7, 5, 3, 8, 1, 7, 8, 8, 3, 7, 2, 7, 2, 6, 2, 1, 4, 6, 8, 5, 2, 6, 5, 6, 3, 7, 5, 5, 7, 2, 5, 5, 3, 4, 6, 6, 5, 1, 3, 3, 4, 5, 6, 2, 1, 5, 8, 3, 1, 4, 5, 3, 3, 1, 6, 8, 1, 3, 2, 4, 8, 3, 8, 6}
  2. Element(selectedNum, Mod[questionCount, 100] + 1) → numCount
  3. Shuffle(Sequence[Random[1, 10], i, 1, 100]) → randomNosForX, {10, 6, 6, 1, 8, 2, 7, 9, 1, 5, 1, 1, 2, 1, 9, 7, 2, 10, 6, 4, 4, 9, 1, 9, 4, 8, 6, 10, 6, 1, 1, 8, 1, 7, 9, 7, 4, 7, 5, 8, 4, 1, 6, 8, 6, 4, 10, 1, 4, 10, 9, 1, 10, 3, 9, 6, 5, 7, 9, 1, 9, 9, 9, 3, 10, 3, 7, 7, 9, 4, 10, 4, 5, 7, 8, 8, 1, 4, 4, 2, 8, 9, 9, 8, 7, 9, 2, 1, 4, 7, 5, 10, 5, 2, 8, 1, 6, 9, 3, 3}
  4. Element(randomNosForX, Mod[questionCount, 100] + 1) → gleichNum
  5. RandomElement(l8) → num8
  6. RandomElement(l6) → num6
  7. RandomElement(l10) → num10
  8. RandomElement(l12) → num12
  9. RandomElement(l15) → num15
  10. RandomElement(l18) → num18
  11. RandomElement(l24) → num24
  12. If(gleichNum ≟ nums(numCount), Element[randomNosForX, Mod[questionCount, 100] + 1] + 1, Element[randomNosForX, Mod[questionCount, 100] + 1]) → numX
  13. Textfield(aInput) → InputBox1
  14. Textfield(bInput) → InputBox2
  15. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  16. Defined(aInput) → fixed
  17. Segment(A, B) → f
  18. Polygon(PtopLeftCornerFeedback_{1}, PtopRightCornerFeedback_{1}, PbottomRightCornerFeedback_{1}, PbottomLeftCornerFeedback_{1}) → rectangleCorrect_{1}, ptopleftcornerfeedback_{1}, ptoprightcornerfeedback_{1}, pbottomrightcornerfeedback_{1}, pbottomleftcornerfeedback_{1}
  19. CircleArc(C, D, E) → c
  20. CircleArc(F, G, H) → d
  21. Point(c) → I
  22. Vector(I, J) → u
  23. Point(d) → K
  24. Vector(K, L) → v
  25. CircleArc(M, N, O) → e
  26. CircleArc(P, Q, R) → g
  27. Point(e) → S
  28. Vector(S, T) → w
  29. Point(g) → U
  30. Vector(U, V) → a

AI Drawing Prompt Reference

Create a plane diagram with two editable input boxes labeled for a and b. Construct a rectangle on the screen, then add curved arc elements inside to guide the idea of extending given denominators. Use two circle arcs to define key points at their endpoints, and from those endpoints form direction vectors that indicate how the fraction extension should be carried out. Build in order: first the rectangle, then the arcs and their endpoint points, and finally the vectors derived from those points.
The prompt above was compiled from the original drawing commands and is for reference only.