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Sorting Three Fractions Numerator

Sorting Three Fractions Numerator
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2016-10-15 02:31
Probability & StatisticsGeometric ConstructionGraphing
This example demonstrates how to sort three fractions by their numerators using GeoGebra, involving core math concepts like fraction comparison, random experiments, and geometric constructions of circles and polygons. Key GeoGebra commands and objects used include Shuffle, Element, LaTeX, Circle, Polygon, If, LCM, and RandomElement. Suitable for middle school mathematics education, providing an intuitive visualization of fraction comparison and geometric representation.

GeoGebra Commands & Parameters

  1. Shuffle(nums) → numsshuffled
  2. Shuffle(factors) → factorsshuffled
  3. Element(factorsshuffled, 3) → factor3
  4. LaTeX(Text["\checkmark"]) → RightCheck
  5. LaTeX(Text["×"]) → WrongCheck
  6. Circle(Circ1Point, CircRadius) → Circ1Outline
  7. Circle(Circ2Point, Circ2Radius) → Circ2Outline
  8. Circle(Circ3Point, Circ2Radius) → Circ3Outline
  9. Shuffle(fraclocation) → fraclocationshuffled
  10. Circle(DragPoint1, MyRadius) → Drag1Area
  11. Circle(DragPoint2, MyRadius) → Drag2Area
  12. Circle(DragPoint3, MyRadius) → Drag3Area
  13. LaTeX(Text["<"]) → LT1
  14. LaTeX(Text["<"]) → LT2
  15. LaTeX(Text["\dfrac{" + num1 + "}{" + den1 + "}"]) → frac1display
  16. LaTeX(Text["\dfrac{" + num2 + "}{" + den2 + "}"]) → frac2display
  17. LaTeX(Text["\dfrac{" + num3 + "}{" + den3 + "}"]) → frac3display
  18. Polygon(A, B, C, D) → poly1, a_1, b_1, c, d
  19. LaTeX(Text["\textbf{Your\ Fractions}"]) → YourFractions
  20. LaTeX(Text["\underbrace{\hspace{10cm}}"]) → LowerLeftBrace
  21. LaTeX(Text["\overbrace{\hspace{10cm}}"]) → UpperRightBrace
  22. LaTeX(Text["\underbrace{\hspace{10cm}}"]) → LowerRightBrace
  23. LaTeX(Text["\overbrace{\hspace{10cm}}"]) → UpperLeftBrace
  24. LaTeX(Text["\overbrace{\hspace{17cm}}"]) → UpperBrace
  25. LaTeX(Text["\underbrace{\hspace{17cm}}"]) → LowerBrace
  26. If(CircSpace1(DragPoint1), frac1display, If[CircSpace1(DragPoint2), frac2display, frac3display]) → circ1display
  27. If(CircSpace2(DragPoint1), frac1display, If[CircSpace2(DragPoint2), frac2display, frac3display]) → circ2display
  28. If(CircSpace3(DragPoint1), frac1display, If[CircSpace3(DragPoint2), frac2display, frac3display]) → circ3display
  29. LCM(LCM[num1, num2], num3) → commonnum
  30. RandomElement({2, 2, 2, 3, 3, 3, 4, 5}) → mult
  31. LaTeX(Text[max]) → MaxDisplay
  32. If(FirstAttempt, 3, Random[0, 2]) → denType
  33. LaTeX(Text["Using\ equivalent\ fractions,\ order\ the\ following\ rational\ numbers\ from\ least\ to\ greatest."]) → Instructions1
  34. LaTeX(Text["\textbf{Instructions\text{:}}\ Click\ and\ drag\ each\ rational\ number\ to\ the\ appropriate\ circle."]) → Instruction2