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Equivalent Fractions Rectangular Models

Equivalent Fractions Rectangular Models
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2020-03-07 00:11
PolygonGeometric ConstructionSlider Animation
This example visually demonstrates the concept of equivalent fractions using dynamic rectangular models. It involves core math concepts like fractions, geometric models, and proportional relationships. Constructed with GeoGebra commands such as Intersect, Point, Polygon, Segment, and Sequence, it is suitable for middle school mathematics education to illustrate the connection between fractions and geometric shapes.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. Polygon(A, B, D, C) → poly1, a, b, d, c
  5. Segment(A, B) → f
  6. Sequence(((10 / n * i), 0), i, 1, n) → list1
  7. Sequence(((10 / n * j), 4), j, 0, n) → list2
  8. Polygon((0, 0), ((10 / n * k), 0), ((10 / n * k), 4), (0, 4)) → poly2, g, h, i, j
  9. Sequence(Segment[((10 / n * k), 0), ((10 / n * k), 4)], k, 0, n - 1) → list3
  10. Point(yAxis) → E
  11. Point(yAxis) → H
  12. Polygon(E, F, G, H) → poly3, e, f_1, g_1, h_1
  13. Sequence((0 + (10 / m * i), 5), i, 0, m) → list4
  14. Sequence(Segment[(0 + (10 / m * j), 5), (0 + (10 / m * j), 9)], j, 0, m) → list6
  15. Sequence((0 + (10 / m * j), 9), j, 0, m) → list5
  16. Sequence(Segment[list4(k), list5(k)], k, 1, m) → list7
  17. Polygon((0, 5), ((10 / m * q), 5), ((10 / m * q), 9), (0, 9)) → poly4, l, p, r, s

AI Drawing Prompt Reference

Draw a dynamic rectangular model to demonstrate the concept of equivalent fractions, consisting of two parts: the first part shows a rectangle divided into n equal parts by horizontal line segments, with a bottom rectangle whose number of divisions changes by moving a slider; the second part shows a rectangle divided into m equal parts by vertical line segments, with a top rectangle whose number of divisions changes by moving another slider, illustrating the equivalence of different fractions.
The prompt above was compiled from the original drawing commands and is for reference only.