Working with the Value Table: Interactive Function Practice

Working with the Value Table: Interactive Function Practice
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2025-07-31 17:05
① This interactive example for middle school students demonstrates how to use a function's value table to understand functional relationships and switch between function equations, tables, and graphs. ② The core mathematical concepts are the multiple representations of real functions—equation, table, and graph—and the transitions between them, fostering intuitive understanding of functions. ③ Cons

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Join({Shuffle[{2, 3, 13}], Shuffle[{1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17}]}) → randomNosForFunction
  4. Element(randomNosForFunction, Mod[questionCount, 100] + 1) → selFunction
  5. Shuffle(1…8) → randomNosForNums, {4, 5, 7, 6, 1, 8, 2, 3}
  6. Element(randomNosForNums, Mod[questionCount2, 100] + 1) → selNum
  7. Shuffle({{1, 2, 3}, {-1, 0, 1}, {2, 4, 6}, {-3, -2, -1}, {0, 1, 2}, {-5, 0, 5}, {0, 5, 10}, {-4, -2, 0}}) → listNums, {{-5, 0, 5}, {0, 1, 2}, {0, 5, 10}, {1, 2, 3}, {-3, -2, -1}, {-1, 0, 1}, {-4, -2, 0}, {2, 4, 6}}
  8. Textfield(input3) → InputBox3
  9. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  10. Polygon(A, B, C, D) → q1, a_1, b_1, c_1, d_1
  11. Midpoint(A, B) → G
  12. Midpoint(A, D) → E
  13. Midpoint(E, D) → F
  14. Midpoint(A, E) → H
  15. Midpoint(B, C) → I
  16. Midpoint(I, C) → J
  17. Midpoint(B, I) → K
  18. Midpoint(D, C) → L
  19. Segment(H, K) → k
  20. Segment(G, L) → l
  21. Polygon(A, H, K, B) → q2, a_2, h_1, k_1, b_2
  22. Intersect(l, k) → M