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Tape Diagrams in Algebra (with examples) by artipal81 (4)

Tape Diagrams in Algebra (with examples) by artipal81 (4)
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2020-05-09 17:12
Geometric Construction
This example demonstrates how to use tape diagrams to represent and solve algebraic problems. It involves core math concepts like algebraic expressions, proportional relationships, and area calculations. The construction utilizes GeoGebra commands and objects such as Textfield, Polygon, Point, Segment, Midpoint, and Sequence to create and visualize tape diagrams. Suitable for middle school and above students to learn and understand algebraic concepts.

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