GeoGebra Exercise 4: Number Theory and Geometric Transformations

GeoGebra Exercise 4: Number Theory and Geometric Transformations
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2017-06-14 14:37
This example dynamically demonstrates the calculation of GCD and LCM using GeoGebra, along with the effect of scaling transformations on shapes. It involves core math concepts like GCD, LCM, integer operations in number theory, and dilation transformations in geometry. Construction highlights include using Random, RandomElement for random integers, Textfield, TableText for displaying results, and InputBox1, InputBox2 for interactive inputs, triggered by button1 for calculations and transformations, with objects like a, b, c, g, h, A1. Suitable for middle school and above learners to understand the practical applications of number theory and the visual representation of geometric transformations.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. Random(-10, 10) → b
  3. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  4. Textfield(h) → InputBox1
  5. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  6. Random(-10, 10) → b_1
  7. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  8. Random(-10, 10) → d_1
  9. Textfield(m) → InputBox2
  10. Textfield(g) → InputBox3
  11. Textfield(f) → InputBox4
  12. TableText({{A1_1, B_1, C_1, D_1}, {-3, g(-3), h(-3), f(-3)}, {-2, g(-2), h(-2), f(-2)}, {-1, g(-1), h(-1), f(-1)}, {0, g(0), h(0), f(0)}, {1, g(1), h(1), f(1)}, {2, g(2), h(2), f(2)}, {3, g(3), h(3), f(3)}, {1, e, l, k}}, "|_") → text3_1