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Rate of Change of Linear Function Exercise

Rate of Change of Linear Function Exercise
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2017-08-30 22:54
FunctionCoordinate GeometryDerivative
This example demonstrates the calculation and visualization of the rate of change (slope) of a linear function; involves core math concepts: linear functions, slope, coordinate geometry; constructed using GeoGebra commands/objects like Random, Line, Textfield, Polygon, LaTeX, Sequence, TableText; suitable for high school mathematics teaching to understand the relationship between function graphs and slopes.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → n_1
  2. Line(B, A) → a
  3. Textfield(deltay) → InputBox2
  4. Random(-5, 5) → m
  5. Random(-10, 10) → n
  6. Textfield(b) → InputBox3
  7. Textfield(g) → InputBox1
  8. Polygon(C, D, E, F) → poly1, c_1, d, e, f_1
  9. LaTeX(deltax_1, true, true) → text10
  10. LaTeX(intersecty, true, true) → text11
  11. LaTeX(deltay_1, true, true) → text12
  12. Sequence(((deltax * i), intersecty + (deltay_1 * i)), i, -20, 20) → list1
  13. Sequence(Segment[A + ((deltax * (i + 1)), (deltay_1 * i)), A + ((deltax * (i + 1)), (deltay_1 * (i + 1)))], i, -20, 20) → rises
  14. Sequence(Segment[A + ((deltax * i), (deltay_1 * i)), A + ((deltax * (i + 1)), (deltay_1 * i))], i, -20, 20) → runs
  15. Textfield(i) → InputBox4
  16. LaTeX(deltax, true, true) → text6
  17. Random(-3, 3) → j
  18. TableText({{p, k, k_1}, {A2, B2, C2}, {A3, B3, C3}, {A4, B4, C4}, {A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}, {A8, B8, C8}}, "|_lll") → text2