Exercise 2: Mixed Practice on Inequalities, Tangents, Interest, and Pyramids

Exercise 2: Mixed Practice on Inequalities, Tangents, Interest, and Pyramids
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2017-01-04 16:40
In collections LINEAR FUNCTIONS
This GeoGebra example is a comprehensive interactive exercise covering arithmetic, inequalities, tangent lines, interest calculation, and pyramid geometry. It demonstrates how multiple mathematical topics can be combined into a single dynamic worksheet. The core concepts include solving and representing inequalities, finding tangent lines to functions, computing simple or compound interest, and exploring properties of pyramids such as volume or surface area. The construction uses GeoGebra commands like Random and RandomElement to generate random problem parameters, along with Textfield, TableText, and InputBox objects to create an interactive user interface where learners can enter answers and receive feedback. The object list includes variables (a, b, c, h, m, p, e, l, k, d, i, j, n), a button (button1), and functions (f, g), indicating a parameterized and dynamic setup. This exercise is suitable for middle or high school students as a review or practice tool, helping them connect different mathematical ideas and strengthen problem-solving skills in a single activity.

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}}, "|_r") → text3_1