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Fraction Beaver: Interactive Fraction Multiplication Practice

Fraction Beaver: Interactive Fraction Multiplication Practice
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2023-05-22 17:05
PolygonFunctionGeometric ConstructionSlider AnimationGraphing
In collections Natürliche Zahl mit Bruchzahl multiplizieren
This example demonstrates an interactive fraction multiplication practice tool. The core mathematical concepts include fraction operations (multiplication), rational number understanding, and polygon area representation. Construction details: Using Polygon command to draw polygons for fraction visualization; Textfield and Input commands for interactive input boxes; Shuffle and Element commands for random question selection; If and Defined commands for answer checking and feedback; Append command to dynamically add practice records. Suitable for elementary and middle school students learning fraction multiplication, also useful for teachers demonstrating fraction operation rules.

GeoGebra Commands & Parameters

  1. If(step ∈ {1, 7}, 1, If[step ∈ {2, 3}, 3, 2]) → fall
  2. If(m1(step, 5) ≟ 0, true, inputz2 ≟ m1(step, 5)) → correctz2
  3. If((¬Defined[inputz2]) ∨ inputz2 ≟ 0, input4 / input5 ≟ ((m1(step, 5) * m1(step, 7)) + m1(step, 6)) / m1(step, 7), ((inputz2 * input5) + input4) / input5 ≟ ((m1(step, 5) * m1(step, 7)) + m1(step, 6)) / m1(step, 7)) → correctfall23b
  4. If(m1(step, 2) ≟ 0, true, inputz1 ≟ m1(step, 2)) → correctz1
  5. If((¬Defined[inputz1]) ∨ inputz1 ≟ 0, input2 / input3 ≟ ((m1(step, 3) * m1(step, 4)) + m1(step, 3)) / m1(step, 4), ((inputz1 * input3) + input2) / input3 ≟ ((m1(step, 2) * m1(step, 4)) + m1(step, 3)) / m1(step, 4)) → correctfall3a
  6. Point(Line[Pos + (0, 0.61), xAxis]) → R2c
  7. Point(Line[Pos + (0, 0.61), xAxis]) → R2b
  8. Point(Line[Pos + (0, 0.61), xAxis]) → R2a
  9. Point(Line[Pos + (0, 0.61), xAxis]) → R1b
  10. Point(Line[Pos + (0, 0.61), xAxis]) → R1a
  11. Textfield(input1) → Eingabefeld1
  12. Textfield(input2) → Eingabefeld2
  13. If(fall ≟ 1, correctfall12a ∧ correctfall1b, If[fall ≟ 2, correctfall12a ∧ correctfall23b, correctfall3a ∧ correctfall23b]) → correct
  14. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  15. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {3, 5, 7, 2, 6, 3, 8, 7, 2, 4, 5, 10, 2, 9, 8, 4, 7, 8, 5, 3, 1, 1, 6, 3, 7, 10, 9, 5, 6, 7, 10, 2, 2, 10, 2, 6, 3, 2, 2, 9, 4, 6, 10, 3, 7, 8, 7, 2, 3, 0, 5, 4, 7, 0, 6, 3, 8, 5, 6, 6, 10, 7, 7, 3, 0, 1, 0, 1, 2, 7, 6, 9, 5, 2, 7, 9, 7, 2, 4, 5, 9, 1, 1, 4, 6, 3, 4, 0, 8, 6, 4, 1, 5, 5, 3, 7, 10, 7, 9, 9}
  16. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  17. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {2, 8, 5, 5, 5, 6, 4, 4, 10, 0, 7, 5, 7, 8, 9, 2, 7, 5, 7, 4, 3, 7, 0, 2, 3, 9, 3, 2, 7, 3, 10, 9, 9, 8, 4, 8, 4, 9, 7, 3, 8, 0, 10, 10, 0, 0, 8, 10, 2, 8, 10, 7, 3, 5, 0, 10, 5, 7, 8, 10, 2, 1, 6, 4, 1, 4, 6, 2, 3, 6, 9, 2, 7, 5, 9, 3, 8, 4, 8, 2, 7, 8, 4, 4, 2, 8, 8, 3, 0, 1, 0, 8, 1, 3, 8, 4, 4, 6, 5, 3}
  18. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  19. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  20. Polygon(Corner[TextBiber, 2] + (spazi, (-spazi)), Corner[TextBiber, 3] + (spazi, spazi), Corner[TextBiber, 4] + ((-spazi), spazi), Corner[TextBiber, 1] + ((-spazi), 0.3), Corner[TextBiber, 1] + (-0.3, -0.6), Corner[TextBiber, 1] + (0.2, (-spazi))) → Vieleck1, f, g, h, i, j, k
  21. SpeechBubbleLeft(B1a, 1, 1) → Vieleck2
  22. Textfield(input3) → Eingabefeld3
  23. Textfield(input4) → Eingabefeld4
  24. Textfield(input5) → Eingabefeld5
  25. Textfield(inputz1) → EingabefeldZ1
  26. Textfield(inputz2) → EingabefeldZ2
  27. Defined(((((input1 * input2) * input3) * input4) * input5)) → fixed
  28. If(fall ≟ 3, R1b, R1a) → R1
  29. If(fall ≟ 1, R2a, If[fall ≟ 2, R2b, R2c]) → R2
  30. If(fall ≟ 2 ∨ fall ≟ 1, 0.74, 1.64) → ax1
  31. If(fall ≟ 1, 2.43, If[fall ≟ 2, 3.22, 4.15]) → bx1
  32. If(fall ≟ 2, 2.43, 3.37) → cx1
  33. If(fall ≟ 1 ∨ fall ≟ 2, correctfall12a, correctfall3a) → correcta
  34. If(fall ≟ 3 ∨ fall ≟ 2, correctfall23b, correctfall1b) → correctb
  35. SpeechBubbleLeft(E, 6.45, 1.8) → Vieleck4

AI Drawing Prompt Reference

Create an interactive fraction multiplication practice interface. In the center, show a polygon-based fraction visualization with colored rectangles representing numerator and denominator products. Include multiple text input fields for entering whole numbers, numerators, and denominators. Add a random question generator area that shuffles numbers to create problems. At the bottom, display a feedback region with highlighted rectangles indicating correct or incorrect answers. The overall layout includes a title, problem display area, input section, and feedback area, suitable for educational demonstration.
The prompt above was compiled from the original drawing commands and is for reference only.