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Rational Number Sorting

Rational Number Sorting
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2014-04-01 08:39
Coordinate GeometryGeometric ConstructionSlider Animation
In collections Jessica's Fraction Book
This example demonstrates how to sort rational numbers using GeoGebra. Key mathematical concepts include the properties and sorting methods of rational numbers. By constructing polygons, points, and line segments, the sorting process is illustrated. Suitable for students in middle school and above to learn about rational numbers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(E, F, G, H) → poly2, e, f, g, h
  3. Point(xAxis) → I
  4. Point(xAxis) → J
  5. Segment(I, J) → i
  6. Segment(K, L) → j
  7. Segment(L, J) → k
  8. Segment(K, I) → l
  9. Point(i) → M
  10. Point(yAxis) → N
  11. Segment(M, N) → m
  12. Polygon(O, P, Q, R) → poly3, o, p, q, r
  13. Polygon(S, T, U, V) → poly4, s, t, u, v
  14. Polygon(W, Z, A_1, B_1) → poly5, w, z, a_1, b_1
  15. Polygon(C_1, D_1, E_1, F_1) → poly6, c_1, d_1, e_1, f_1
  16. Polygon(G_1, H_1, I_1, J_1) → poly7, g_1, h_1, i_1, j_1
  17. Polygon(K_1, L_1, M_1, N_1) → poly8, k_1, l_1, m_1, n_1
  18. Polygon(O_1, P_1, Q_1, R_1) → poly9, o_1, p_1, q_1, r_1
  19. Polygon(S_1, T_1, U_1, V_1) → poly10, s_1, t_1, u_1, v_1
  20. Polygon(W_1, Z_1, A_2, B_2) → poly11, w_1, z_1, a_2, b_2
  21. Polygon(C_2, D_2, E_2, F_2) → poly12, c_2, d_2, e_2, f_2
  22. If(numCorrect ≟ 12, "You have them all correct.", If[numSorted ≟ 12, "You dont have all numbers sorted correctly.", "You have not put all numbers in the boxes."]) → ansText

AI Drawing Prompt Reference

Draw a coordinate plane with several quadrilaterals, including two large rectangles and multiple smaller rectangles positioned near the axes. Place two points on the x-axis and connect them with a segment, then pick a point on that segment. Place a point on the y-axis and connect it to the x-axis point. Then construct a series of quadrilaterals in the plane, each defined by four vertices, possibly representing different value regions. Finally, display a text message based on the user's sorting accuracy, such as all correct, partially correct, or not all numbers sorted.
The prompt above was compiled from the original drawing commands and is for reference only.