MathPlotAI Logo MathPlotAI

Direct and Partial Variation Demo

Direct and Partial Variation Demo
Loading the math board and drawing, please wait…
2018-11-17 04:57
FunctionTrigonometryCoordinate GeometryParametric EquationGeometric Construction
This example demonstrates the graphical representation of direct and partial variation relationships. It involves core math concepts like linear equations, expected value, similar triangles, trapezoids, and parametric curves. Constructed using GeoGebra commands such as UnicodeToLetter, Random, If, LaTeX, Polygon, Min, and objects like sliders and loci. Suitable for middle school and above, focusing on variable relationships and geometric constructions.

GeoGebra Commands & Parameters

  1. UnicodeToLetter(10007) → xmark
  2. UnicodeToLetter(10003) → cmark
  3. Random(1, 5) → mDirectTemp
  4. Random(1, 5) → mPartialTemp
  5. Random(1, 5) → bPartial
  6. If(Random[1, 2] ≟ 1, mDirectTemp, 1 / mDirectTemp) → mDirect
  7. If(Random[1, 2] ≟ 1, mPartialTemp, 1 / mPartialTemp) → mPartial
  8. Random(1, 2) → type
  9. LaTeX((("\textbf{Question: }Which line represents a \textbf{" * If[type ≟ 1, "direct", "partial"]) * "} variation?")) → QUESTION
  10. LaTeX((("\textbf{Instructions: }Select the line on the graph that represents a \textbf{" * If[type ≟ 1, "direct", "partial"]) * "} variation.")) → INSTRUCTIONS
  11. Polygon({(-1, -1), (-1, 10.5), (12.5, 11), (12.5, -1)}) → viewBox
  12. Min(12.5, 10.5 / mDirect) → directLineMaxX
  13. Min(12.5, (10.5 - bPartial) / (mPartial)) → partialLineMaxX