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Addition and Geometry Combined Practice (Question 4)

Addition and Geometry Combined Practice (Question 4)
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2020-11-03 07:13
CirclePolygonGeometric Construction
In collections Grade 2 Eureka M4L6
This GeoGebra example demonstrates a dynamic construction that combines natural number addition with geometric figures such as polygons, circles, and secants. It uses commands like Polygon, Make100, Make10, Make1, and Sum to link place-value decomposition (hundreds, tens, ones) with geometric objects (polygons, incircles, unit circles, secants), creating a visual arithmetic exercise. The core mathematical concepts include addition of natural numbers, place value, properties of polygons and circles, secant lines, and the unit circle. The construction involves creating multiple polygons (poly1, poly2, poly3) via the Polygon command, decomposing numbers using Make100/Make10/Make1, summing them with Sum, displaying results through text objects (text51, text52, text53), and incorporating circles (c_5, d_5) and secants (f_4, g_4). It is suitable for upper elementary or middle school students to reinforce addition skills and geometric recognition, and can serve as an interactive practice template for teachers.

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

Create a dynamic construction combining natural number addition with geometric figures like polygons, circles, and secants to visually demonstrate place-value decomposition (hundreds, tens, ones), with polygons representing each digit and circles/secants aiding the display, including text objects for results, suitable for arithmetic and geometry practice.
The prompt above was compiled from the original drawing commands and is for reference only.