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Visual Demo of Fraction Multiplication by Integer

Visual Demo of Fraction Multiplication by Integer
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2013-06-14 14:54
Geometric Construction
This example visually demonstrates how to multiply a fraction by an integer, covering core concepts like fraction multiplication, integer operations, and geometric representation. It utilizes GeoGebra commands such as Polygon, Sequence, and Segment for construction, making it suitable for middle school mathematics teaching or self-learning to understand the geometric meaning of fraction multiplication.

GeoGebra Commands & Parameters

  1. Polygon(F, E, B, A) → poly1, f, e, b_1, a_1
  2. Polygon(F, D, C, A) → poly2, f_1, d_1, c_1, a_2
  3. Sequence((0, i), i, 1, a - 1) → list1
  4. Sequence((d, i), i, 1, a - 1) → list2
  5. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, a - 1) → list3
  6. Sequence((i / c, 0), i, 1, d * c) → list4
  7. Sequence((i / c, a), i, 1, d * c) → list5
  8. Sequence(Segment[Element[list4, i], Element[list5, i]], i, 1, c * d) → list6
  9. Segment(E, B) → g
  10. Polygon(G, H, I, J) → poly3, g_1, h, i, j
  11. Segment(G, H) → k
  12. Segment(H, I) → l
  13. Segment(I, K) → m
  14. Segment(K, G) → n

AI Drawing Prompt Reference

Draw a visual representation to demonstrate multiplying a fraction by an integer, starting with two polygons to represent the fraction and integer, then create multiple line segments by connecting points to show the multiplication process, and finally represent the result as a complete polygon to clearly illustrate the geometric meaning of fraction multiplication.
The prompt above was compiled from the original drawing commands and is for reference only.