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Exploring Equivalent Fractions with GeoGebra

Exploring Equivalent Fractions with GeoGebra
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2020-09-03 05:25
FunctionSequenceGeometric ConstructionSlider Animation
In collections The Fractions book
This GeoGebra example demonstrates a dynamic visualization of equivalent fractions. Users can see how different numerators and denominators reduce to the same value using the GCD command, and explore infinite families of equivalent fractions via a sequence generator. The construction employs Segment to draw fraction bars, Sequence to produce multiple fraction pairs, Polygon and Line for visual representation, and sliders to adjust parameters interactively. It is designed for elementary and middle school mathematics educators and students to deepen understanding of fraction equivalence and proportional reasoning.

GeoGebra Commands & Parameters

  1. GCD(n_1, d_1) → h
  2. Segment(A, B) → a
  3. RandomNormal(2, 4) → c
  4. RandomBinomial(2, 3) → b
  5. nCr(4, 2) → d
  6. Sequence((x(D) + (i * a / d_1), y(D)), i, 0, d_1) → Pointbas
  7. Sequence((x(A) + (i * a / d_1), y(A)), i, 0, d_1) → Pointhaut
  8. Sequence(Segment[Element[Pointhaut, i], Element[Pointbas, i]], i, 1, d_1 + 1) → liste1
  9. Polygon(A, B, C, D) → Total, a_2, b_1, c_1, d_4
  10. Polygon(A, D, Element[Pointbas, n_1 + 1], Element[Pointhaut, n_1 + 1]) → Morceau, a_1, d_3, i, j
  11. Polygon(E, F, H, G) → poly1, e, f_1, h_1, g_1
  12. Sequence((x(G) + (i * e / (d_1 / h)), y(G)), i, 0, d_1 / h) → L2
  13. Sequence((x(E) + (i * e / (d_1 / h)), y(E)), i, 0, d_1 / h) → L3
  14. Sequence(Segment[Element[L3, i], Element[L2, i]], i, 1, d_1 / h + 1) → liste2
  15. Polygon(E, G, Element[L2, n_1 / h + 1], Element[L3, n_1 / h + 1]) → poly2, e_1, g, f, k
  16. Line(A, yAxis) → l
  17. If((h * h) ≟ 1, 0, 5) → Vitesse
  18. Segment(I, J) → m
  19. Segment(K, L) → n

AI Drawing Prompt Reference

Create a dynamic visualization of equivalent fractions with multiple fraction bars, showing how different numerators and denominators reduce to the same value using the greatest common divisor. Use polygons and lines for visual representation, and include sliders for interactive parameter adjustment. Explore infinite sequences of equivalent fractions.
The prompt above was compiled from the original drawing commands and is for reference only.