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Extending Fractions

Extending Fractions
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2022-08-10 19:39
In collections Bruchzahlen: Erweitern und Kürzen Wiederholung II: Erweitern & Kürzen, Darstellungsarten
This example demonstrates how to extend fractions. It involves the core math concept of extending and simplifying fractions. The construction points include using GeoGebra's Join, Element, If commands and objects such as bInput, questionCount, randomNosForY. It is suitable for middle school math education, particularly for 5-6 grade students.

GeoGebra Commands & Parameters

  1. Join({{4}, Shuffle[Sequence[Random[2, 10], i, 1, 100]]}) → randomNosForY
  2. Element(randomNosForY, Mod[questionCount, 100]) → numY
  3. Join({{1}, Shuffle[Sequence[Random[1, numY - 1], i, 1, 100]]}) → randomNosForX
  4. Element(randomNosForX, Mod[questionCount, 100]) → numX
  5. Join({{3}, Shuffle[Sequence[Random[2, 10], i, 1, 100]]}) → randomNosForZ
  6. Element(randomNosForZ, Mod[questionCount, 100]) → numZ
  7. If(questionCount ≟ 1, aInput ≟ 3, aInput ≟ (numX * numZ)) → correct1
  8. If(questionCount ≟ 1, bInput ≟ 12, bInput ≟ (numY * numZ)) → correct2
  9. Textfield(aInput) → InputBox1
  10. Textfield(bInput) → InputBox2
  11. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  12. Defined((aInput * bInput)) → fixed
  13. Segment(A, B) → f
  14. CircleArc(C, D, E) → c
  15. CircleArc(F, G, H) → d
  16. Point(c) → I
  17. Vector(I, J) → u
  18. Point(d) → K
  19. Vector(K, L) → v
  20. Polygon(PtopLeftCornerFeedback_{1}, PtopRightCornerFeedback_{1}, PbottomRightCornerFeedback_{1}, PbottomLeftCornerFeedback_{1}) → rectangleCorrect_{1}, ptopleftcornerfeedback_{1}, ptoprightcornerfeedback_{1}, pbottomrightcornerfeedback_{1}, pbottomleftcornerfeedback_{1}
  21. CircleArc(M, N, O) → e
  22. CircleArc(P, Q, R) → g
  23. Point(e) → S
  24. Vector(S, T) → w
  25. Point(g) → U
  26. Vector(U, V) → a