MathPlotAI Logo MathPlotAI

Change Factor for Percentage Increase (Vermehrungsfaktor)

Change Factor for Percentage Increase (Vermehrungsfaktor)
Loading the math board and drawing, please wait…
2023-04-26 15:29
FunctionTransformationSlider AnimationGraphing
In collections Prozentrechnung: Vermehrung und Verminderung
This GeoGebra example demonstrates how to update a base value when it increases by a given percentage, using the corresponding change factor (Vermehrungsfaktor). It focuses on the key concept that a percentage increase of p% is modeled by multiplying by (1 + p/100), and it checks understanding through multiple-choice questions (e.g., +10% or +5%). The construction is built with GeoGebra tools referenced in the summary: Spline to create guiding curves/paths, Point to define key geometric points, and Textfield to collect user inputs. It uses Text elements to present calculations and solutions (showCalculation, showCalculation2, Text1), and connects input objects to correctness/feedback objects (input1–input6, correct1–correct5). Animation and step-by-step interaction are managed via an animation control and buttons (anim, btnLos, btnNext, btnBack, btnNochmal, showBtnBack/showBtnNext). Suitable for grades 7–8 for practicing percentage arithmetic in single- and multi-step situations with change factors.

GeoGebra Commands & Parameters

  1. Spline({D1, E, G, D2}, 3) → d
  2. Point(d) → Pos2
  3. Textfield(input1) → Eingabefeld1
  4. Textfield(input2) → Eingabefeld2
  5. Textfield(input3) → Eingabefeld3
  6. Textfield(input4) → Eingabefeld4
  7. Spline({C1, D, F, C2}, 3) → c
  8. Point(c) → Pos1
  9. Point(Line[P, xAxis]) → R2
  10. Point(Line[P, xAxis]) → R3
  11. Point(Line[T2, yAxis]) → T3
  12. Point(Line[P, xAxis]) → R4
  13. Point(Line[P, xAxis]) → R5
  14. Point(Line[T2, yAxis]) → T4
  15. Point(Line[T2, yAxis]) → T5
  16. Point(Line[P, xAxis]) → R6
  17. Point(Line[P, xAxis]) → R7
  18. Point(Line[P, xAxis]) → R8
  19. Point(Line[P, xAxis]) → R9
  20. Point(Line[T2, yAxis]) → T6
  21. Point(Line[T2, yAxis]) → T7
  22. Point(Line[T2, yAxis]) → T8
  23. Point(Line[T2, yAxis]) → T9
  24. Point(Line[Q, xAxis]) → R10

AI Drawing Prompt Reference

Create a diagram illustrating the concept of percentage increase, featuring a slider to control the percentage increase and display the corresponding factor. Include two smooth curves drawn through multiple points as guiding paths, several points marking key positions including points on the x-axis and y-axis, and points on the curves. Use text fields to collect user inputs for the percentage, and display calculations and results with text elements. Control animations and interactions via buttons to show the effect of different percentage increases.
The prompt above was compiled from the original drawing commands and is for reference only.