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Interactive Fractions: Visualizing and Operating with Fractions

Interactive Fractions: Visualizing and Operating with Fractions
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2020-04-01 20:23
PolygonSlider Animation
In collections The Fractions book
① This interactive GeoGebra example demonstrates fractions through dynamic visual representations, allowing users to click buttons or adjust sliders to explore fraction concepts. ② Core mathematical concepts include fraction basics, simplification, common denominators, addition and multiplication of fractions, and the relationship between fractions and whole numbers. ③ Construction highlights: uses commands like FractionText to display fractions, GCD for simplification, Sum and Element for list operations, Polygon to draw fractional parts, If and Clicked for interactive logic, Slider for parameter control, and Segment/Point for geometric modeling. ④ Suitable for upper elementary to middle school students, ideal for classroom demonstrations or self-paced learning, helping to grasp abstract fraction ideas and serving as a template for teachers creating interactive lessons.

GeoGebra Commands & Parameters

  1. Sum(On) → Clicked
  2. Element(list4, Order, Pos) → Deno
  3. Length(Element[list4, Order]) → NumFactor
  4. If(Mod[Total, 5] ≟ 0, 5, 6) → X
  5. If((Total * Nume / Deno) ≟ Clicked, true, false) → Correct
  6. If((¬NewItem) ∧ Correct ∨ ShowAns, true, false) → Freeze
  7. Polygon(M, N, 4) → poly1off, a, b, c, d, O, P
  8. Polygon(M, N, 4) → poly1on, e, f, g, h, Q, R
  9. Polygon(N, S, 4) → poly2off, i, j, k, l, T, U
  10. Polygon(N, S, 4) → poly2on, m, n, p, q, V, W
  11. Polygon(S, Z, 4) → poly3off, s, t, a_1, b_1, A_1, B_1
  12. Polygon(S, Z, 4) → poly3on, c_1, d_1, e_1, f_1, C_1, D_1
  13. Polygon(Z, A, 4) → poly4off, g_1, h_1, i_1, j_1, B, C
  14. Polygon(Z, A, 4) → poly4on, k_1, l_1, m_1, n_1, E_1, F_1
  15. Polygon(A, D, 4) → poly5off, p_1, q_1, r_1, s_1, G_1, H_1
  16. Polygon(A, D, 4) → poly5on, t_1, a_2, b_2, c_2, I_1, J_1
  17. Polygon(D, E, 4) → poly6off, d_2, e_2, f_2, g_2, K_1, L_1
  18. Polygon(D, E, 4) → poly6on, h_2, i_2, j_2, k_2, M_1, N_1
  19. Polygon(P, O, 4) → poly7off, l_2, m_2, n_2, p_2, F, O_1
  20. Polygon(P, O, 4) → poly7on, q_2, r_2, s_2, t_2, P_1, Q_1
  21. Polygon(O, V, 4) → poly8off, a_3, b_3, c_3, d_3, G, R_1
  22. Polygon(O, V, G, F) → poly8on, o, v, g_3, f_3
  23. Polygon(V, C, 4) → poly9off, e_3, h_3, i_3, j_3, H, S_1
  24. Polygon(V, C, H, G) → poly9on, v_1, c_4, h_4, g_4
  25. Polygon(C, B, 4) → poly10off, k_3, l_3, m_3, n_3, I, T_1
  26. Polygon(C, B, I, H) → poly10on, c_5, b_4, i_4, h_5
  27. Polygon(B, G_1, 4) → poly11off, p_3, q_3, r_3, s_3, J, U_1
  28. Polygon(B, G_1, J, I) → poly11on, b_5, g_5, j_4, i_5
  29. Polygon(G_1, K_1, 4) → poly12off, t_3, a_4, d_4, e_4, K, V_1
  30. Polygon(G_1, K_1, K, J) → poly12on, g_6, k_4, k_5, j_5
  31. FractionText(num / 12) → texte3
  32. If(Clicked ≟ num, 1, 0) → val
  33. If(num ≟ Clicked, 1, 0) → bb
  34. Polygon(W_1, Z_1, A_2, B_2) → poly1, w_1, z_1, a_5, b_6
  35. GCD(12, num) → rr
  36. Segment(C_2, D_2) → f_4