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Adding Double Digits Demo

Adding Double Digits Demo
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2017-03-22 00:28
Solid Geometry
In collections Concrete-Pictorial-Abstract and the Teaching for Mastery
This example visually demonstrates the process and result of adding double-digit numbers. It involves core math concepts like addition, natural numbers, tree diagrams, scalene triangles, histograms, prisms, and indefinite integrals. Construction highlights include using commands like Segment, Sequence, Polygon, Textfield, and If in GeoGebra. Suitable for upper elementary or lower middle school students learning addition, or for math teaching demonstrations.

GeoGebra Commands & Parameters

  1. Segment((0, 0), (0, 10)) → f
  2. Segment((1, 0), (1, 10)) → g
  3. Sequence(Segment[(0, i), (1, i)], i, 0, 10, 1) → list1
  4. Segment((1, a), (1, 10 + a)) → i
  5. Segment((0, a), (0, 10 + a)) → h
  6. Sequence(Segment[(0, i), (1, i)], i, a, a + 10, 1) → list2
  7. Sequence(Segment[((-i), 0), ((-i), 10)], i, 1, 11, 1) → list3
  8. Segment((-1, 0), (-11, 0)) → j
  9. Segment((-1, 10), (-11, 10)) → l
  10. Sequence(Segment[((-i), a), ((-i), a + 10)], i, 1, 11, 1) → list4
  11. Segment((-1, a), (-11, a)) → k
  12. Segment((-1, a + 10), (-11, a + 10)) → m
  13. Polygon((-11, 0), (-11, 10), (-11 + C1, 10), (-11 + C1, 0)) → poly1, n, p, q, r
  14. Polygon((-1, a), (-1, a + 10), (-1 - A1, a + 10), (-1 - A1, a)) → poly2, s, t, b, c
  15. Polygon((0, 0), (0, D1), (1, D1), (1, 0)) → poly3, d, e, f_1, g_1
  16. Polygon((0, 10 + a), (1, 10 + a), (1, a + 10 - B1), (0, a + 10 - B1)) → poly4, h_1, i_1, j_1, k_1
  17. Polygon((o, 0), (1 + o, 0), (1 + o, 10), (o, 10)) → poly5, l_1, m_1, n_1, p_1
  18. Polygon((0, D1), (1, D1), (1, 10 - B1), (0, 10 - B1)) → poly6, q_1, r_1, s_1, t_1
  19. Textfield(A2) → InputBox1
  20. Textfield(C2) → InputBox2
  21. Polygon(A, B, C, D) → poly7, a_1, b_1, c_1, d_1
  22. Polygon((-1 - A1, 0), (-11 + C1, 0), (-11 + C1, 10), (-1 - A1, 10)) → poly8, e_1, f_2, g_2, h_2
  23. If(110 > A6 > 99, If[o ≟ B3, 1, 0], 0) → A7