MathPlotAI Logo MathPlotAI

Linear Patterns Exploration

Linear Patterns Exploration
Loading the math board and drawing, please wait…
2018-11-03 01:46
FunctionTrigonometryCoordinate GeometryDerivativeSlider Animation
This example demonstrates graphical patterns generated by linear equations. It involves core math concepts like linear equations, algebra, sine, derivatives, pyramids, and secant lines. Constructed using commands like Random, UnicodeToLetter, Textfield, Sequence, Join, and LaTeX, along with objects such as sliders and text fields. Ideal for high school mathematics teaching and function graph exploration.

GeoGebra Commands & Parameters

  1. Random(2, 6) → b
  2. Random(1, 6) → m
  3. UnicodeToLetter(10007) → xmark
  4. UnicodeToLetter(10003) → cmark
  5. Textfield(textM) → ansMbox
  6. Textfield(textB) → ansBbox
  7. Sequence(Polygon[(i, 0), (i + 1, 0), 4], i, 1, b) → startFigPurpleSquares
  8. Sequence(Polygon[(i + 7, 0), (i + 8, 0), 4], i, 1, b) → fig1purpleSquares
  9. Sequence(Polygon[(i + 14, 0), (i + 15, 0), 4], i, 1, b) → fig2purpleSquares
  10. Sequence(Polygon[(i, 0), (i + 1, 0), 4], i, 1, b) → startFigBorders
  11. Sequence(Polygon[(i + 21, 0), (i + 22, 0), 4], i, 1, b) → fig3purpleSquares
  12. Sequence(Sequence[Polygon[(8 + b - i, j), (8 + b - i + 1, j), 4], i, 1, m], j, 1, 1) → fig1orangeSquares
  13. Sequence(Sequence[Polygon[(15 + b - i, j), (15 + b - i + 1, j), 4], i, 1, m], j, 1, 2) → fig2orangeSquares
  14. Sequence(Sequence[Polygon[(22 + b - i, j), (22 + b - i + 1, j), 4], i, 1, m], j, 1, 3) → fig3orangeSquares
  15. Join({Sequence[Polygon[(i + 7, 0), (i + 8, 0), 4], i, 1, b], Sequence[Sequence[Polygon[(8 + b - i, j), (8 + b - i + 1, j), 4], i, 1, m], j, 1, 1]}) → fig1borders
  16. Join({Sequence[Polygon[(i + 14, 0), (i + 15, 0), 4], i, 1, b], Sequence[Sequence[Polygon[(15 + b - i, j), (15 + b - i + 1, j), 4], i, 1, m], j, 1, 2]}) → fig2borders
  17. Join({Sequence[Polygon[(i + 21, 0), (i + 22, 0), 4], i, 1, b], Sequence[Sequence[Polygon[(22 + b - i, j), (22 + b - i + 1, j), 4], i, 1, m], j, 1, 3]}) → fig3borders
  18. LaTeX("\text{\textbf{Question: }What do you notice about this pattern?}") → MainInstruc
  19. LaTeX("\text{\textbf{Instructions: }Determine how many tiles the pattern starts with and how many tiles\\each figure in the pattern grows by.}") → SpecInstruc
  20. LaTeX("\text{The starting figure has " + b + " tiles and each figure is " + m + " tile(s) larger\\than the previous one.}") → feedback

AI Drawing Prompt Reference

Draw a linear pattern of squares where the initial figure has b squares and each subsequent figure adds m squares. The pattern is divided into three sections, each with different colored squares and varying counts. Borders separate the sections. Include text boxes at the top with instructions to observe the pattern's growth.
The prompt above was compiled from the original drawing commands and is for reference only.