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Modeling Linear Growth (Introduction to Linear Systems)

Modeling Linear Growth (Introduction to Linear Systems)
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2016-11-01 22:21
FunctionGraphing
This example illustrates dynamic models of linear growth and introduces solving linear systems by graphing. It utilizes various GeoGebra commands such as constructing segments, finding intersections, and dilations. Suitable for middle school and above students to learn linear equations and functions.

GeoGebra Commands & Parameters

  1. Textfield(f) → InputBox9
  2. Textfield(g) → InputBox10
  3. Textfield(h) → InputBox11
  4. Textfield(k) → InputBox7
  5. Textfield(e) → InputBox1
  6. Textfield(i) → InputBox2
  7. Textfield(j) → InputBox3
  8. Textfield(l) → InputBox4
  9. Textfield(r) → InputBox5
  10. Textfield(s) → InputBox6
  11. Textfield(t) → InputBox8
  12. Textfield(u) → InputBox12
  13. Intersect(f_1, f_2, 1) → C
  14. Intersect(f_1, g_1, 1) → D
  15. Intersect(f_2, g_1, 1) → E
  16. Dilate(B, If[2 < v ≤ 3, 3 - v, 0], C) → B'
  17. Dilate(C, If[2 < v ≤ 4, 4 - v, 0], E) → C'
  18. Dilate(A, If[0 < v ≤ 1, 1 - v, 0], C) → A'
  19. Segment(A, A') → i_1
  20. Dilate(C, If[1 < v ≤ 2, 2 - v, 0], D) → C'_1
  21. Segment(C, C'_1) → j_1
  22. Segment(B, B') → h_1
  23. Segment(C, C') → k_1