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GeoGebra Exercise 11

GeoGebra Exercise 11
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2017-06-14 15:14
FunctionCoordinate GeometryProbability & Statistics
This example dynamically demonstrates mathematical concepts such as standard deviation, combinatorics, interest calculation, quadratic functions, and ellipses using GeoGebra. The core math concepts involved include standard deviation computation, combinatorial applications, compound interest formulas, quadratic function graphing, and parametric ellipse equations. The construction utilizes commands like Random, RandomElement, Textfield, TableText, and objects including a, d_1, c_1, b, a_1, c, g, button1, h, A1, f, InputBox1, b_1, A1_1, B1_1, C_1, D_1, m, InputBox2, p, e, l, k, InputBox4, d, i, j, n, B_1, d_2, B, A, text2, text3_1 for dynamic data generation and visualization. It is suitable for high school mathematics teaching, covering interactive learning in probability statistics, coordinate geometry, and function graphing.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. Random(-10, 10) → d_1
  3. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  4. Random(-10, 10) → b
  5. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  6. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  7. Textfield(h) → InputBox1
  8. Random(-10, 10) → b_1
  9. Textfield(m) → InputBox2
  10. Textfield(f) → InputBox4
  11. Random(-10, 10) → d_2
  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)}, {m, e, l, k}}, "|_r") → text3_1

AI Drawing Prompt Reference

Create an interactive math teaching diagram featuring a randomly generated quadratic function, an ellipse, and a statistical table for standard deviation. Include three input boxes to adjust function parameters and table values. The table displays values of three functions from -3 to 3, plus a variable input row. Show a parabola, an ellipse, and a line in the graphing area, all generated with random numbers and updatable via the input boxes. The layout is clean, suitable for classroom demonstration of probability, statistics, and coordinate geometry.
The prompt above was compiled from the original drawing commands and is for reference only.