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Equivalent Fractions Demo

Equivalent Fractions Demo
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2016-11-01 03:16
Coordinate GeometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates the concept of equivalent fractions through dynamic geometry, visually showing how different fraction forms represent the same value. Core math concepts include fractions, area models, integer operations, algebraic representation, and statistical frequency distribution. GeoGebra commands like Random, Shuffle, Element, LaTeX, Circle, and If, along with objects such as multlist and ListPoints, are used to generate random examples and interactive verification. Suitable for upper elementary and middle school students to enhance understanding of equivalent fractions and geometric intuition.

GeoGebra Commands & Parameters

  1. Random(2, 7) → den1
  2. Shuffle(multlist) → multshuffled, {3, 5, 2, 6, 4}
  3. Element(multshuffled, 1) → mult
  4. Random(1, den1 - 1) → num1
  5. Shuffle(ListPoints) → ListPointsShuffled, {(4.5, 5), (8, 5), (15, 5), (11.5, 5), (1, 5)}
  6. LaTeX(Text["\checkmark"]) → RightCheck
  7. LaTeX(Text["×"]) → WrongCheck
  8. Element(ListPointsShuffled, 1) → Point1
  9. Element(ListPointsShuffled, 2) → Point2
  10. Element(ListPointsShuffled, 3) → Point3
  11. Element(ListPointsShuffled, 4) → Point4
  12. Element(ListPointsShuffled, 5) → Point5
  13. Random(2, 60) → den2
  14. Random(1, den2 - 1) → num2
  15. Element(multshuffled, 2) → mult1
  16. Element(multshuffled, 3) → mult2
  17. Element(multshuffled, 4) → mult3
  18. Random(2, 50) → iden1
  19. Random(1, iden1 - 1) → inum1
  20. Random(2, 50) → iden2
  21. Random(1, iden2 - 1) → inum2
  22. Random(2, 50) → iden3
  23. Random(1, iden3 - 1) → inum3
  24. Shuffle(PossibleFractions) → PossibleFractionsShuffled, {(44, 30), (44, 18), (25, 5), (13, 12), (30, 6), (10, 2)}
  25. Circle(Point1, 1) → Circ1Outline
  26. Circle(Point2, 1) → Circ2Outline
  27. Circle(Point3, 1) → Circ3Outline
  28. Circle(Point4, 1) → Circ4Outline
  29. Circle(Point5, 1) → Circ5Outline
  30. Circle(Point2, 1) → Circ2
  31. Circle(Point1, 1) → Circ1
  32. Circle(Point3, 1) → Circ3
  33. Circle(Point4, 1) → Circ4
  34. Circle(Point5, 1) → Circ5
  35. If(num1 < 10 ∧ den1 < 10, LaTeX[Text["\, \dfrac {" + num1 + "} {" + den1 + "}"]], LaTeX[Text["\dfrac{" + num1 + " }{" + den1 + "}"]]) → frac1display
  36. If(numerator < 10 ∧ denominator < 10, LaTeX[Text["\, \dfrac{" + numerator + "} {" + denominator + "}"]], LaTeX[Text["\dfrac{" + numerator + " }{" + denominator + "}"]]) → fracdisplay
  37. If(num2 < 10 ∧ den2 < 10, LaTeX[Text["\, \dfrac {" + num2 + "} {" + den2 + "}"]], LaTeX[Text["\dfrac{" + num2 + " }{" + den2 + "}"]]) → frac2display
  38. If(num3 < 10 ∧ den3 < 10, LaTeX[Text["\, \dfrac {" + num3 + "} {" + den3 + "}"]], LaTeX[Text["\dfrac{" + num3 + " }{" + den3 + "}"]]) → frac3display
  39. If(num4 < 10 ∧ den4 < 10, LaTeX[Text["\, \dfrac {" + num4 + "} {" + den4 + "}"]], LaTeX[Text["\dfrac{" + num4 + " }{" + den4 + "}"]]) → frac4display
  40. If(num5 < 10 ∧ den5 < 10, LaTeX[Text["\, \dfrac {" + num5 + "} {" + den5 + "}"]], LaTeX[Text["\dfrac{" + num5 + " }{" + den5 + "}"]]) → frac5display