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Ten-Row Table

Ten-Row Table
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2020-07-07 18:58
TrigonometryIntegralMatrix
This example demonstrates the calculation process of trigonometric functions and definite integrals through a dynamic table. Key math concepts include trigonometry, definite integrals, unit circle, and matrix operations. Construction highlights involve using commands like TableText, Textfield, Sequence, along with objects such as Sequence, Matrix, and InputBox for interactive visualization. Suitable for high school mathematics teaching to illustrate function graphs and integral geometry.

GeoGebra Commands & Parameters

  1. TableText(Sequence[Sequence[snum + ((r - 1) * cols) + c - 1, c, 1, cols, 1], r, 1, rows, 1], "c_|") → tab
  2. Textfield(snum) → InputBox1
  3. Sequence(If[snum + ((rows - 1) * cols) + i < 10, Element[cw, 1], If[snum + ((rows - 1) * cols) + i < 100, Element[cw, 2], Element[cw, 3]]], i, 0, cols - 1) → ws
  4. Sequence(If[i ≟ 0, 0, Sum[Element[ws, n], n, 1, i]], i, 0, cols, 1) → xss
  5. Sequence(Sequence[If[Mod[snum + ((r - 1) * cols) + c - 1, fac1] ≟ 0, Polygon[(Element[xss, c], ((-ch) * (r - 1))), (Element[xss, c + 1], ((-ch) * (r - 1))), (Element[xss, c + 1], ((-ch) * r)), (Element[xss, c], ((-ch) * r))]], c, 1, cols, 1], r, 1, rows, 1) → FI
  6. Textfield(fac1) → InputBox2
  7. Sequence((Element[xss, i + 1] + Element[xss, i]) / 2, i, 1, cols) → xssc
  8. Sequence(Sequence[If[Mod[snum + ((r - 1) * cols) + c - 1, fac2] ≟ 0, Circle[(Element[xssc, c], ((-ch) * (r - 0.5))), ch / 2]], c, 1, cols, 1], r, 1, rows, 1) → CI
  9. Textfield(fac2) → InputBox3
  10. Sequence(Sequence[If[Mod[snum + ((r - 1) * cols) + c - 1, fac3] ≟ 0, Segment[(Element[xssc, c] - ch / 2, ((-ch) * (r - 1))), (Element[xssc, c] + ch / 2, ((-ch) * r))]], c, 1, cols, 1], r, 1, rows, 1) → LS
  11. Sequence(Sequence[If[Mod[snum + ((r - 1) * cols) + c - 1, fac3] ≟ 0, Segment[(Element[xssc, c] + ch / 2, ((-ch) * (r - 1))), (Element[xssc, c] - ch / 2, ((-ch) * r))]], c, 1, cols, 1], r, 1, rows, 1) → RS
  12. Textfield(fac3) → InputBox4