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Interactive Demo of Arithmetic Sum and Geometric Shapes

Interactive Demo of Arithmetic Sum and Geometric Shapes
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2019-05-22 19:54
PolygonSequenceCoordinate GeometrySlider Animation
This example demonstrates the combination of arithmetic series sum and trapezoid area calculation through interactive geometry. It involves core math concepts like arithmetic sequences, geometric area, rotation, percentages, and logarithms. GeoGebra commands and objects used include Polygon, Area, BarChart, TextToUnicode, and parameters like n (number of terms), a1 (first term), d (common difference). Suitable for high school mathematics education to illustrate the connection between sequences and geometry.

GeoGebra Commands & Parameters

  1. Polygon((0.5, 0), (n + 0.5, r(n) + a1), (n + 0.5, 0)) → poly1, f, h, i
  2. Area(poly1) → b
  3. BarChart(1…n, r(s), 1) → a
  4. Polygon(A, B, C, D) → q1, a_1, b_1, a_nn, d_1
  5. Area(q1) → e
  6. Polygon(A, D, (n + 0.5, y(D) + y(A)), (0.5, y(D) + y(A))) → q3, a_3, a_11, nn, a_n
  7. TextToUnicode("(a1+an)n/2") → l1