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Comparing Fractions by Eva Lai (2)

Comparing Fractions by Eva Lai (2)
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2016-10-14 16:06
Geometric ConstructionSlider Animation
This example demonstrates how to compare the sizes of fractions. It involves basic fraction concepts and uses GeoGebra commands such as LCM, Segment, OrthogonalLine, etc., for geometric construction. Suitable for upper elementary or middle school students to better understand fraction comparison methods.

GeoGebra Commands & Parameters

  1. LCM(d1, d2) → cd
  2. Segment(A, B) → c
  3. OrthogonalLine(A, c) → d
  4. Vector(A, C) → u
  5. Translate(B, u) → B'
  6. Vector(A, D) → v
  7. Translate(B, v) → B'_1
  8. Translate(C, v) → C'
  9. Translate(B', v) → B''
  10. Segment(A, C) → e
  11. Segment(C, B') → f
  12. Segment(B', B) → g
  13. Segment(D, C') → j
  14. Segment(C', B'') → k
  15. Segment(B'', B'_1) → l
  16. Segment(B'_1, D) → m
  17. Polygon(A, C, (x(C) + ((a * w)) / d1, y(C)), (x(A) + ((a * w)) / d1, y(A))) → poly1, q, r, f_1, g_1
  18. Polygon(D, C', (x(C') + (b * w / d2), y(C')), (x(D) + (b * w / d2), y(D))) → poly2, d_1, c', s, t
  19. Vector(A, (x(A) + (a * w / d1), y(A))) → arrow1
  20. Vector(D, (x(D) + (b * w / d2), y(D))) → arrow2
  21. Sequence(Segment[(x(A) + (w * i / cd), y(C)), (x(A) + (w * i / cd), y(A))], i, 1, cd - 1, 1) → cdlist1
  22. Sequence(Segment[(x(A) + (w * i / d1), y(C)), (x(A) + (w * i / d1), y(A))], i, 1, d1 - 1, 1) → list1
  23. Sequence(Segment[(x(A) + (w * i / d2), y(C')), (x(A) + (w * i / d2), y(D))], i, 1, d2 - 1, 1) → list2
  24. Sequence(Segment[(x(A) + (w * i / cd), y(C')), (x(A) + (w * i / cd), y(D))], i, 1, cd - 1, 1) → cdlist2
  25. Vector(H, I) → h
  26. Sequence(Segment[(x(A) + (w * i / cd), y(H)), (x(A) + (w * i / cd), y(H + 0.5))], i, 0, cd, 1) → numline
  27. Segment(arrowend2, (x(arrowend2), y(arrowend2) - 0.5)) → arrowl2
  28. Segment(arrowend1, (x(arrowend1), y(arrowend1) - 0.5)) → arrowl1
  29. Vector(H, K) → i
  30. LCM(d1, d2) → cd_1
  31. LCM(d1, d2) → cd_2
  32. LCM(d1, d2) → cd_3

AI Drawing Prompt Reference

This is a geometric figure for comparing fractions. The figure includes two rectangles and a triangle. Rectangles A and D represent two fractions, while rectangle C acts as a bridge connecting them. The triangle is placed between the rectangles to show the relationship of fraction sizes. The construction order is to draw the rectangles first, then connect them, and finally add the triangle. This figure helps understand fraction comparison methods.
The prompt above was compiled from the original drawing commands and is for reference only.