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Fraction Multiplication (Area Model)

Fraction Multiplication (Area Model)
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2016-10-01 03:25
Polygon
This example demonstrates fraction multiplication using an area model. Key mathematical concepts include fractions and multiplication. It utilizes commands such as Segment, Textfield, Sequence, Polygon, Intersect, Random, and Midpoint in GeoGebra. Suitable for upper elementary or middle school students learning fraction multiplication.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, D) → h
  4. Segment(D, A) → i
  5. Segment(E, F) → j
  6. Segment(F, G) → k
  7. Segment(G, H) → l
  8. Segment(H, E) → m
  9. Textfield(num_1) → InputBox1
  10. Textfield(den_1) → InputBox2
  11. Textfield(num_2) → InputBox3
  12. Textfield(den_2) → InputBox4
  13. Sequence(A + ((10 / den_1 * k), 0), k, 1, den_1 - 1) → list1
  14. Sequence(D + ((10 / den_1 * k), 0), k, 1, den_1 - 1) → list2
  15. Sequence(E - (0, (10 / den_2 * k)), k, 1, den_2 - 1) → list3
  16. Sequence(Segment[Element[list1, b], Element[list2, b]], b, 1, den_1 - 1) → list6
  17. Sequence(F - (0, (10 / den_2 * k)), k, 1, den_2 - 1) → list4
  18. Polygon(A, Element[list1, num_1], Element[list2, num_1], D) → poly1, a_1, p, q, d
  19. Polygon(E, Element[list3, num_2], Element[list4, num_2], F) → poly2, e, r, s, f_1
  20. Sequence(Segment[Element[list3, b], Element[list4, b]], b, 1, den_2 - 1) → list5
  21. Intersect(Element[list6, num_1], Element[list5, num_2]) → I
  22. Polygon(A, Element[list1, num_1], I, Element[list3, num_2]) → poly3, a_2, n, i_1, t
  23. Random(2, 10) → den_3
  24. Random(1, den_3 - 1) → num_3
  25. Random(2, 10) → den_4
  26. Random(1, den_4 - 1) → num_4
  27. Midpoint(f) → J
  28. Segment(K, L) → b
  29. Textfield(numerator) → inputBox1
  30. Textfield(denominator) → inputBox2