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Number Decomposition and Geometric Construction Practice (Question 9)

Number Decomposition and Geometric Construction Practice (Question 9)
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2020-11-03 07:17
CirclePolygonProbability & StatisticsTransformationGeometric Construction
In collections Grade 2 Eureka M4L6
① This example is a comprehensive math exercise that combines the decomposition of natural numbers (e.g., splitting into 100s, 10s, and 1s) with the construction of various geometric figures (polygons, circumcircles, histograms) in GeoGebra, illustrating the connection between numbers and shapes. ② Core mathematical concepts include addition of natural numbers, ratios, place value (hundreds, tens, ones), dilation, normal distribution, circumscribed circles, and histogram data representation. ③ Construction highlights: From the summary, commands such as Polygon, Make100, Make10, Make1, and Sum are used; objects include multiple points (C_2, D_2, E_2, etc.), segments (c_5, d_5, etc.), polygons (poly1, poly2, poly3), and text labels (text51, etc.), showing dynamic linking between numeric values and geometric elements. ④ Suitable for upper elementary to middle school students, this activity reinforces number composition, ratio concepts, and introduces geometric construction and statistical charts, also useful for cross-curricular project-based learning.

GeoGebra Commands & Parameters

  1. Polygon(C_2, D_2, E_2, F_2) → poly1, c_5, d_5, e_4, f_4
  2. Polygon(F_2, E_2, G_2, H_2) → poly2, f_5, e_5, g_4, h_4
  3. Polygon(H_2, G_2, I_2, J_2) → poly3, h_5, g_5, i_2, j_2
  4. Make100(A) → c, text1
  5. Make100(B) → d, text2
  6. Make100(C) → e, text3
  7. Make100(D) → f, text4
  8. Make100(E) → g, text5
  9. Make100(F) → h, text6
  10. Make100(G) → k, text7
  11. Make100(H) → p, text8
  12. Make100(I) → q, text9
  13. Make100(J) → r, text10
  14. Make10(K) → s, text11
  15. Make10(L) → t, text12
  16. Make10(M) → c_1, text13
  17. Make10(N) → d_1, text14
  18. Make10(O) → e_1, text15
  19. Make10(P) → f_1, text16
  20. Make10(Q) → g_1, text17
  21. Make10(R) → h_1, text18
  22. Make10(S) → k_1, text19
  23. Make10(T) → p_1, text20
  24. Make10(U) → q_1, text21
  25. Make10(V) → r_1, text22
  26. Make10(W) → s_1, text23
  27. Make10(Z) → t_1, text24
  28. Make10(A_1) → c_2, text25
  29. Make10(B_1) → d_2, text26
  30. Make10(C_1) → e_2, text27
  31. Make10(D_1) → f_2, text28
  32. Make10(E_1) → g_2, text29
  33. Make10(F_1) → h_2, text30
  34. Make1(G_1) → k_2, text31
  35. Make1(H_1) → p_2, text32
  36. Make1(I_1) → q_2, text33
  37. Make1(J_1) → r_2, text34
  38. Make1(K_1) → s_2, text35
  39. Make1(L_1) → t_2, text36
  40. Make1(M_1) → c_3, text37
  41. Make1(N_1) → d_3, text38
  42. Make1(O_1) → e_3, text39
  43. Make1(P_1) → f_3, text40
  44. Make1(Q_1) → g_3, text41
  45. Make1(R_1) → h_3, text42
  46. Make1(S_1) → k_3, text43
  47. Make1(T_1) → p_3, text44
  48. Make1(U_1) → q_3, text45
  49. Make1(V_1) → r_3, text46
  50. Make1(W_1) → s_3, text47
  51. Make1(Z_1) → t_3, text48
  52. Make1(A_2) → c_4, text49
  53. Make1(B_2) → d_4, text50
  54. Polygon(D_2, K_2, L_2, E_2) → poly4, d_6, k_4, l_2, e_6
  55. Polygon(E_2, L_2, M_2, G_2) → poly5, e_7, l_1, m_2, g_6
  56. Polygon(G_2, M_2, N_2, I_2) → poly6, g_7, m_1, n_2, i_1
  57. Sum(Sequence[IsInRegion[Element[listOnes, i], poly6], i, 1, 20]) → valueOnes

AI Drawing Prompt Reference

On a plane, first draw a closed quadrilateral by connecting four given points, then create a second and a third adjacent quadrilateral that follow the same point order and share the relevant vertices/edge connections, forming a strip of three connected quadrilateral tiles. Next, place text labels near the key vertices to represent number decomposition: add annotations for the hundreds part on several of those points, add annotations for the tens part on another set of points, and then add annotations for the ones part on the remaining set, keeping each text label aligned with its corresponding vertex to connect numeric decomposition with the geometric construction.
The prompt above was compiled from the original drawing commands and is for reference only.