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Fraction Shapes Demo

Fraction Shapes Demo
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2017-05-16 17:59
CirclePolygonFunctionGeometric ConstructionSlider Animation
This example demonstrates how to divide various shapes (like cuboids, isosceles triangles) into parts to visualize fractions. It involves core math concepts such as fractions, natural numbers, polygon construction, and polynomial functions. GeoGebra commands like Polygon, Sequence, Circle, Point, and Sector are used to construct the shapes and visualize the fractions. Suitable for elementary and middle school math education for fraction introduction and geometric intuition.

GeoGebra Commands & Parameters

  1. Polygon((B1, 0), (B2, 0), (B2, 1 / shape), (B1, 1 / shape)) → C1, D1, E1, F1, G1
  2. Polygon((B2, 0), (B3, 0), (B3, 1 / shape), (B2, 1 / shape)) → C2, D2, E2, F2, G2
  3. Polygon((B3, 0), (B4, 0), (B4, 1 / shape), (B3, 1 / shape)) → C3, D3, E3, F3, G3
  4. Polygon((B4, 0), (B5, 0), (B5, 1 / shape), (B4, 1 / shape)) → C4, D4, E4, F4, G4
  5. Polygon((B5, 0), (B6, 0), (B6, 1 / shape), (B5, 1 / shape)) → C5, D5, E5, F5, G5
  6. Polygon((B6, 0), (B7, 0), (B7, 1 / shape), (B6, 1 / shape)) → C6, D6, E6, F6, G6
  7. Polygon((B7, 0), (B8, 0), (B8, 1 / shape), (B7, 1 / shape)) → C7, D7, E7, F7, G7
  8. Polygon((B8, 0), (B9, 0), (B9, 1 / shape), (B8, 1 / shape)) → C8, D8, E8, F8, G8
  9. Polygon((B9, 0), (B10, 0), (B10, 1 / shape), (B9, 1 / shape)) → C9, D9, E9, F9, G9
  10. Polygon((B10, 0), (B11, 0), (B11, 1 / shape), (B10, 1 / shape)) → C10, D10, E10, F10, G10
  11. Sequence("SetValue[H" + (i) + "," + (If[i + 1 ≟ newDenom, true, false]) + "]", i, 1, 10) → list4
  12. Sequence("SetCoords[I" + (i) + ",0,-0.25]", i, 1, 100) → list5
  13. Polygon(A, B, C, D) → poly1, a, b, c, d
  14. Polygon(E, F, G, H) → poly2, e, f, g, h
  15. Polygon(I, J, K) → poly3, k_1, i, j
  16. Circle(L, M) → p
  17. Polygon(N, P, R) → poly4, r, n, p_1
  18. Polygon(O, R, P) → poly5, p_2, o, r_1
  19. Polygon(Q, P, N) → poly6, n_1, q, p_3
  20. Polygon(N, Q, O) → poly7, o_1, n_2, q_1
  21. Polygon(P, O, Q) → poly8, q_2, p_4, o_2
  22. Circle(S, T) → k
  23. Point(k, A1 / denominator) → J1
  24. Point(k, A2 / denominator) → J2
  25. Point(k, A3 / denominator) → J3
  26. Point(k, A4 / denominator) → J4
  27. Point(k, A5 / denominator) → J5
  28. Point(k, A6 / denominator) → J6
  29. Point(k, A7 / denominator) → J7
  30. Point(k, A8 / denominator) → J8
  31. Point(k, A9 / denominator) → J9
  32. Point(k, A10 / denominator) → J10
  33. Point(k, A11 / denominator) → J11
  34. Sector(k, J1, J2) → K1
  35. Sector(k, J2, J3) → K2
  36. Sector(k, J3, J4) → K3
  37. Sector(k, J4, J5) → K4
  38. Sector(k, J5, J6) → K5
  39. Sector(k, J6, J7) → K6
  40. Sector(k, J7, J8) → K7
  41. Sector(k, J8, J9) → K8
  42. Sector(k, J9, J10) → K9
  43. Sector(k, J10, J11) → K10