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Multiplication Demonstration

Multiplication Demonstration
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2019-11-20 08:51
PolygonVectorIntegralGeometric ConstructionGraphing
In collections Complex Math
This example dynamically illustrates multiplication operations and their geometric relationships. It involves core math concepts like vectors, polygon constructions, integrals, and function graphs. GeoGebra commands and objects used include Point, Vector, Polygon, Segment, Line, Intersect, Integral, Textfield, and Factors. Suitable for high school mathematics teaching, helping students understand the integration of functions, integrals, and geometric constructions.

GeoGebra Commands & Parameters

  1. Point(r) → C
  2. Vector((0, 0), (1.16, a^(0.5))) → d
  3. Point(d) → E
  4. Vector((1.16, 0), (1.16, a^(0.5))) → c
  5. Point(c) → F
  6. Polygon(D, E, F) → poly2, f_1, d_2, e_1
  7. Point(b) → A
  8. Point(w) → B
  9. Polygon(D, A, C, B) → poly1, d_1, a_1, c_1, b_1
  10. Segment(C, B) → g
  11. Point(u) → G
  12. Point(v) → H
  13. Polygon(D, H, G) → poly3, g_1, d_3, h
  14. Line(H, G) → l
  15. Intersect(p, l, (-1.4792041711822467, 0.22781892112178792)) → I
  16. Intersect(q_2, l, (0.22838, -1.4767443707086351)) → J
  17. Segment(I, J) → i
  18. Vector(((t * a), 0)) → m
  19. Point(n) → L
  20. Vector((((3 * t) * a / 2), 0)) → s
  21. Point(s) → K
  22. Polygon(D, K, L) → poly4, l_1, d_4, k_1
  23. Integral(q_2, 1, (a * 3)) → m_1
  24. Intersect(q, f, (5.923752436134908, 664.9999999636309)) → M
  25. Integral(q, 1, 1.79) → r_1
  26. Textfield(a) → InputBox1
  27. Segment(N, O) → e
  28. Factors(f_a) → m1
  29. Factors(a_k) → m2
  30. Segment(P, Q) → j_1