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Tape Diagrams in Algebra Examples

Tape Diagrams in Algebra Examples
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2020-05-07 23:54
Geometric Construction
This example demonstrates how to use tape diagrams to represent and solve algebraic problems, involving core concepts like algebraic equations, proportional relationships, and geometric visualization. It utilizes GeoGebra commands and objects such as Textfield, Polygon, Point, Segment, Midpoint, and Sequence. Suitable for middle school and above students to learn visual methods for algebraic problem-solving.

GeoGebra Commands & Parameters

  1. Textfield(m) → InputBox1
  2. Textfield(text5) → InputBox2
  3. Textfield(n) → InputBox3
  4. Textfield(text6) → InputBox4
  5. Polygon(A, B, C, D) → poly1, a_1, b, c, d
  6. Point(poly1) → E
  7. Segment(E, F) → f
  8. Midpoint(D, F) → G
  9. Midpoint(F, C) → H
  10. Sequence(Segment[A + ((i_1 * (k - 1)), 0), A + ((i_1 * (k - 1)), h)], k, 1, m) → list1
  11. Sequence(Segment[E + ((i_2 * (p - 1)), 0), E + ((i_2 * (p - 1)), h)], p, 1, n) → list2
  12. Sequence(Segment[A + ((i_3 * (k - 1)), 0), A + ((i_3 * (k - 1)), h)], k, 1, m) → list3
  13. Sequence(Text[text6, (x(E) + (r * i_2) + i_2 / (n + 1), 0.7)], r, 0, n - 1) → list2t
  14. Sequence(Text[text5, (x(A) + (q * i_3) + i_3 / (m + 1), 0.7)], q, 0, m - 1) → list3t
  15. Sequence(Text[text5, (x(A) + (q * i_1) + i_1 / (m + 1), 0.7)], q, 0, m - 1) → list1t
  16. Segment(I, L) → i
  17. Segment(M, N) → j