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Quotient Rule for Exponents Interactive Quiz

Quotient Rule for Exponents Interactive Quiz
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2018-09-22 00:38
Function
This example demonstrates applying the quotient rule for exponents (a^m ÷ a^n = a^(m-n)) through an interactive GeoGebra quiz. The construction uses LaTeX for mathematical formulas, Text commands for displaying questions and instructions, and manages a question bank through questionList and questionNum objects. Correct/incorrect feedback is provided via cmark/xmark elements. Ideal for middle school students learning exponent rules, and suitable for classroom teacher demonstrations.

GeoGebra Commands & Parameters

  1. LaTeX("\textbf{Instructions: }Complete the puzzle by clicking on puzzle pieces that contain equivalent\\expressions.") → INSTRUCTIONS
  2. LaTeX("\textbf{Question: } Which expressions are equivalent?") → QUESTION
  3. Element(questionList, questionListIndex) → questionNum
  4. UnicodeToLetter(10003) → cmark
  5. UnicodeToLetter(10007) → xmark
  6. Element(B2:B6, questionNum) → correctRightText
  7. Element(C2:C6, questionNum) → correctLeftText
  8. Element(D2:D6, questionNum) → incorrectRightText
  9. Element(E2:E6, questionNum) → incorrectLeftText
  10. Element(A2:A6, questionNum) → questionText
  11. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
  12. Element(F2:F6, questionNum) → feedback
  13. Text(If[isLeftCorrect, correctLeftText, incorrectLeftText], puzzleAnchor + (3.25, 5.25), true, true) → matchedLeftText
  14. Text(If[isRightCorrect, correctRightText, incorrectRightText], puzzleAnchor + (10.25, 7.5), true, true) → matchedRightText
  15. LaTeX("x^{10} \div x^8") → A2
  16. LaTeX("\frac{x^6y^2}{x^4y}") → A3
  17. LaTeX("3a^6 \div a^3") → A4
  18. LaTeX("\frac{-5a^4}{3a}") → A5
  19. LaTeX("\frac{-8x^2y^5}{2y^3}") → A6
  20. LaTeX("x^2") → B2
  21. LaTeX("x^2y") → B3
  22. LaTeX("3a^3") → B4
  23. LaTeX("-\frac{5}{3}a^3") → B5
  24. LaTeX("-4x^2y^2") → B6
  25. LaTeX("x^{18}") → D2
  26. LaTeX("x^{10}y^3") → D3
  27. LaTeX("3a^2") → D4
  28. LaTeX("-\frac{5}{3}a^5") → D5
  29. LaTeX("-4x^2y^8") → D6
  30. LaTeX("\begin{tabular}{c}4\\\text{when}\\x=2\end{tabular}") → C2
  31. LaTeX("\begin{tabular}{c}24\\\text{when}\\a=2\end{tabular}") → C4
  32. LaTeX("\begin{tabular}{c}-45\\\text{when}\\a=3\end{tabular}") → C5
  33. LaTeX("\begin{tabular}{c}-16x^2\\\text{when}\\y=2\end{tabular}") → C6
  34. LaTeX("\begin{tabular}{c}10\\\text{when}\\x=2\end{tabular}") → E2
  35. LaTeX("\begin{tabular}{c}6y\\\text{when}\\x=3\end{tabular}") → E3
  36. LaTeX("\begin{tabular}{c}48\\\text{when}\\a=1\end{tabular}") → E4
  37. LaTeX("\begin{tabular}{c}-5\\\text{when}\\a=1\end{tabular}") → E5
  38. LaTeX("\begin{tabular}{c}16x^2\\\text{when}\\y=2\end{tabular}") → E6
  39. LaTeX("\begin{tabular}{c}7x^2\\\text{when}\\y=7\end{tabular}") → C3

AI Drawing Prompt Reference

Draw an interactive quiz interface for the quotient rule of exponents. At the top, display a title and instructions. Below, show a question area with the current problem, such as "x^10 ÷ x^8". The interface is split into two columns: the left column lists several expressions to match (like x^2, x^2y, 3a^3, etc.), and the right column lists corresponding simplified results (like x^2, x^2y, 3a^3, etc.) along with some incorrect options (like x^18, x^10y^3, etc.). For each question, the user clicks to match the correct expression with its result; a checkmark appears for correct matches and a cross for incorrect ones. Below, a feedback area shows messages indicating correctness. The overall layout is clear and suitable for middle school students.
The prompt above was compiled from the original drawing commands and is for reference only.