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Linear Functions and Equations Interactive Demo

Linear Functions and Equations Interactive Demo
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2017-08-01 00:54
FunctionCoordinate GeometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates the interaction between linear function graphs, equation solving, and geometric transformations like dilation, focusing on intersection calculations. Core math concepts include linear equations, functions, geometric transformations, and intersection points. GeoGebra commands like Zip, LaTeX, Corner, TableText, PolyLine, Intersect, Midpoint, and Vector are used in construction. Suitable for high school mathematics teaching to understand function transformations, equation solving, and geometric intuition.

GeoGebra Commands & Parameters

  1. Zip(f(k), k, xlist) → ylist
  2. LaTeX(steps) → counter
  3. LaTeX("\text{Move the slider to solve the problem.}") → text0
  4. LaTeX("\text{Use the buttons below to return to the original}\cr\text{problem or randomly generate a similar practice}\cr\text{problem.}") → RandomizationText
  5. Corner(2, 3) → topright
  6. Corner(2, 1) → bottomleft
  7. LaTeX((("\text{Graph the solution set for the linear equation }\cr\textcolor{#000099}{" * f) * "}.")) → Problem
  8. LaTeX("\text{Make a table. Choose at least three values for }\textcolor{#000099}{x}\text{, and}\cr\text{find the corresponding values of }\textcolor{#000099}{y}\text{ using the given}\cr\text{equation.}") → text1
  9. TableText({Append["\textcolor{#000099}{x}", xlist], Append["\textcolor{#000099}{y}", ylist]}, "vc") → text2
  10. LaTeX("\text{Plot the ordered pairs on the coordinate plane.}") → text3
  11. Zip((j, k), j, xlist, k, ylist) → pointslist
  12. Corner(2, 2) → bottomright
  13. Corner(2, 4) → topleft
  14. PolyLine(bottomleft, bottomright, topright, topleft, bottomleft) → frame
  15. Intersect(f, frame) → A, B
  16. Midpoint(A, B) → middle
  17. Vector(middle, B) → lazyarrow1
  18. Vector(middle, A) → lazyarrow2
  19. LaTeX((("\text{The solution set for }\textcolor{#000099}{" * f) * "}\text{ is a straight line.}\cr\text{Connect the points by drawing a line through them.}\cr\text{Use arrows at each end of the line to demonstrate}\cr\text{that the line continues infinitely in each direction.}\cr\text{This represents all the solutions for the equation.}")) → text4