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Klecksaufgabe Level 2: Inputting Powers and Algebraic Expression Graphing

Klecksaufgabe Level 2: Inputting Powers and Algebraic Expression Graphing
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2024-07-01 17:16
Geometric Construction
In collections Binomische Formeln
This example demonstrates how to construct algebraic expression graphs by inputting powers. Key mathematical concepts include power operations, algebraic expressions, and geometric construction. The construction involves GeoGebra commands such as Length, Join, Element, and others. Suitable for middle school students (grades 7-8) to learn the integration of algebra and geometry.

GeoGebra Commands & Parameters

  1. Length(allQuestions) → numberOfQuestionsAll
  2. Join({Shuffle[{1, 3, 4, 5}], Shuffle[{6, 7}], Shuffle[{2, 8, 9, 10, 11, 12}]}) → randomQuestions
  3. Element(randomQuestions, Mod[questionCount - 1, numberOfQuestionsAll] + 1) → actualQuestion
  4. Element(allQuestions, actualQuestion) → actualQuestionInfo
  5. Element(actualQuestionInfo, 4) → actualSolutions
  6. Element(actualSolutions, 4) → dropDownSolution
  7. Element(randomQuestions, Mod[questionCount, Length[randomQuestions]] + 1) → randomQuestion
  8. Element(actualQuestionInfo, 1) → actualRechnung
  9. Element(actualQuestionInfo, 2) → actualType
  10. Element(actualQuestionInfo, 3) → actualTypicalHints
  11. Element(actualQuestionInfo, 5) → actualKlecksPositionNumbers
  12. Element(imgKlecksPositions, Element[actualKlecksPositionNumbers, 1]) → imgKlecks1A
  13. Textfield(input2) → inputBox2
  14. Textfield(input3) → inputBox3
  15. Element(imgKlecksPositions, Element[actualKlecksPositionNumbers, 3]) → imgKlecks3A
  16. Element(imgKlecksPositions, Element[actualKlecksPositionNumbers, 4]) → imgKlecks4A
  17. Element(imgKlecksPositions, Element[actualKlecksPositionNumbers, 2]) → imgKlecks2A
  18. Textfield(input1) → inputBox1
  19. Element(actualTypicalHints, 1) → actualTypicalHintsSplit1
  20. Element(actualTypicalHints, 2) → actualTypicalHintsSplit2
  21. Sequence(If[Defined[Object["input" + (Element[actualTypicalHintsSplit1, 1])]] ∧ Defined[Object["hintHelp1" + (i)]], Object["input" + (Element[actualTypicalHintsSplit1, 1])] ≟ Object["hintHelp1" + (i)], false], i, 1, 6) → hintTypicalHelp1
  22. Defined(IndexOf[true, hintTypicalHelp1]) → typicalHint1
  23. Sequence(If[Defined[Object["input" + (Element[actualTypicalHintsSplit2, 1])]] ∧ Defined[Object["hintHelp2" + (i)]], Object["input" + (Element[actualTypicalHintsSplit2, 1])] ≟ Object["hintHelp2" + (i)], false], i, 1, 6) → hintTypicalHelp2
  24. Defined(IndexOf[true, hintTypicalHelp2]) → typicalHint2

AI Drawing Prompt Reference

Create an interactive math exercise interface with randomly ordered algebraic expression problems. Each problem shows an equation with hidden numbers covered by ink blots, and users fill in three input boxes with missing powers or values. Below, typical hints appear and highlight when user inputs match. The layout uses clean white background, card-style problem areas, black irregular ink blots, and light gray input boxes. Designed for middle school students, emphasizing the connection between algebra and geometry.
The prompt above was compiled from the original drawing commands and is for reference only.