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POST-IT Activity

POST-IT Activity
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2019-07-01 16:44
TransformationParametric EquationGeometric Construction
In collections From POST-IT to 3D PRINTING: playing with squares and cubes
This example demonstrates the transformation of parametric curves through the movement of POST-IT notes. Key mathematical concepts include parametric equations and geometric transformations. Using commands such as Point, Intersect, Polygon, Spline, and Translate, dynamic geometric shapes can be constructed. Suitable for high school mathematics education, particularly in coordinate geometry and parametric equations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Intersect(xAxis, yAxis) → A
  3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  4. Spline({A, E, F, G, H, I, J, B}, 3) → a
  5. Spline({D, K, L, M, N, O, P, A}, 3) → b
  6. Translate(b, v) → b'
  7. Translate(a, u) → a'
  8. Translate(a, Vector[(2 * u)]) → a'_1
  9. Translate(a, Vector[(2 * u) + (2 * v)]) → a'_2
  10. Translate(poly1, Vector[u + v]) → poly1'
  11. Translate(poly1, Vector[(2 * v)]) → poly1'_1
  12. Translate(b, Vector[u + v]) → b'_1
  13. Translate(b, Vector[(2 * v)]) → b'_2
  14. Translate(poly1, u) → poly1'_2
  15. Translate(b, u) → b'_3
  16. Translate(a', Vector[u + v]) → a''
  17. Translate(b', Vector[u + v]) → b''
  18. Translate(a, Vector[u + v]) → a'_3
  19. Translate(poly1'_2, Vector[(-u) + v]) → q1
  20. Translate(q1, Vector[u + v]) → q1'
  21. Translate(b'_2, Vector[u + v]) → c
  22. Translate(b'', Vector[(-u) + v]) → b'''
  23. Translate(a', Vector[(-u) + v]) → a''_1
  24. Translate(a, Vector[(2 * v)]) → a'_5
  25. Translate(a', Vector[(2 * v)]) → a''_2