Arithmetic Sequence Visualization: From Sequence to Circle Chart and Translation

Arithmetic Sequence Visualization: From Sequence to Circle Chart and Translation
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2017-05-12 19:52
① This GeoGebra example dynamically demonstrates the generation of an arithmetic sequence, combining a circle (pie) chart and translation transformations to visually reveal the linear relationship among sequence terms. ② The core mathematical concept is the arithmetic sequence, covering common difference, general term formula, and the distribution of terms on a graphical layout; it also integrates logic (If command) and random number generation (Random command) to construct the terms. ③ Construction highlights: Random and If commands generate objects A1, A2, B1, B2, etc.; translation maps sequence terms onto sectors of a circle/pie chart; a button (button1) and multiple texts (text1–text7) provide interactive control and result display; objects include points, segments, an image (pic1), and several text labels. ④ Suitable for middle-to-high school mathematics teaching (grades 8–12), math lab sessions, or inquiry-based activities, helping students grasp the algebraic-geometric connection of arithmetic sequences and become familiar with dynamic GeoGebra construction techniques.

GeoGebra Commands & Parameters

  1. Random(-9, 9) → A1
  2. If(A1 ≟ 0, Random[2, 9], A1) → A2
  3. Random(-9, 9) → B1
  4. If(B1 ≟ 0, Random[2, 9], B1) → B2
  5. Random(2, 9) → C1
  6. Random(2, 9) → D1
  7. Random(2, 9) → E1
  8. Random(2, 9) → F1
  9. If(D1 ≟ C1, Random[10, 15], D1) → D2