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Sorting Three Rational Numbers

Sorting Three Rational Numbers
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2016-11-01 07:43
FunctionProbability & StatisticsGeometric ConstructionSlider Animation
This example demonstrates how to sort three rational numbers. Key mathematical concepts include comparing and sorting rational numbers. Using GeoGebra commands such as Shuffle, Element, and CreateFraction, the process of sorting rational numbers is dynamically illustrated. Suitable for middle school math education to help students understand the properties and sorting methods of rational numbers.

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[den1, den2], den3) → commonden
  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
  35. Mod(num1, den1) → propnum1
  36. Mod(num2, den2) → propnum2
  37. Mod(num3, den3) → propnum3
  38. RandomElement(types) → type1
  39. RandomElement(types) → type2
  40. Mod(commonnum1, commonden) → propcommon1
  41. Mod(commonnum2, commonden) → propcommon2
  42. Mod(commonnum3, commonden) → propcommon3

AI Drawing Prompt Reference

Illustrate the sorting of three rational numbers dynamically, with randomly generated fractions controlled by a slider, using circles and symbols to show relationships, guiding users to complete the sorting by dragging operations.
The prompt above was compiled from the original drawing commands and is for reference only.