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Animated Demonstration of Polynomial Expansion

Animated Demonstration of Polynomial Expansion
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2019-02-27 14:03
FunctionCoordinate GeometrySlider Animation
This example uses the area of rectangles to demonstrate polynomial expansion. Key mathematical concepts include polynomial expansion and geometric area. The construction uses commands like Polygon, Midpoint, and Text in GeoGebra. Suitable for students at junior high school level and above.

GeoGebra Commands & Parameters

  1. If(SelectedIndex[ListVariables] > 4, If[m_{s2} < 0.1, 6, 10], 6) → c
  2. Polygon(A, B, C, D) → q1, a_1, b_1, c_1, d_1
  3. Polygon(E, F, G, H) → q2, e_1, f_1, g_1, h_1
  4. Midpoint(d_1) → M_{AD}
  5. Midpoint(c_1) → M_{CD}
  6. Midpoint(h_1) → M_{EH}
  7. Midpoint(g_1) → M_{GH}
  8. Midpoint(D, G) → M_{GD}
  9. Midpoint(A, C) → M_{AC}
  10. Midpoint(E, G) → M_{EG}
  11. Polygon(A - (0, 3), D - (0, 3.5), (12, 4) - (0, 3.5), (12, 1) - (0, 3)) → q1o, f, g, h, i
  12. Text(Element[ListVariables, SelectedIndex[ListVariables], 4], Centroid[q1o]) → text11