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Product Rule for Exponents Practice (NS1-02-CYU3)

Product Rule for Exponents Practice (NS1-02-CYU3)
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2018-09-20 04:32
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This interactive GeoGebra example is a practice exercise demonstrating the product rule for exponents, which states that when multiplying powers with the same base, you add the exponents. The core mathematical concept is exponentiation and the laws of exponents within natural numbers. The construction uses GeoGebra commands such as Element, UnicodeToLetter, LaTeX, and Text to generate questions and answer choices, along with numerous boolean objects (e.g., isChecked, isLeftCorrect, isRightCorrect) to manage a matching interaction where students match expressions with their simplified forms. It is suitable for middle or high school students learning exponent rules, and can be used for self-study or classroom practice.

GeoGebra Commands & Parameters

  1. Element(questionList, questionListIndex) → questionNum
  2. UnicodeToLetter(10003) → cmark
  3. UnicodeToLetter(10007) → xmark
  4. Element(B2:B6, questionNum) → correctRightText
  5. Element(C2:C6, questionNum) → correctLeftText
  6. Element(D2:D6, questionNum) → incorrectRightText
  7. Element(E2:E6, questionNum) → incorrectLeftText
  8. LaTeX("x^7 \times x^3") → A2
  9. LaTeX("a^2y^2 \times a^3y") → A3
  10. LaTeX("(3d^3)(d^3)") → A4
  11. LaTeX("(-4x^5)(3x^2)") → A5
  12. LaTeX("-2x^3y^5 \times 2y^3") → A6
  13. LaTeX("x^{10}") → B2
  14. LaTeX("a^5y^3") → B3
  15. LaTeX("3d^6") → B4
  16. LaTeX("-12x^7") → B5
  17. LaTeX("-4x^3y^8") → B6
  18. LaTeX("x^{21}") → D2
  19. LaTeX("a^6y^2") → D3
  20. LaTeX("3d^9") → D4
  21. LaTeX("-12x^{10}") → D5
  22. LaTeX("-4x^3y^{15}") → D6
  23. Element(A2:A6, questionNum) → questionText
  24. LaTeX("\begin{tabular}{c}1\\\text{when}\\x=-1\end{tabular}") → C2
  25. LaTeX("\begin{tabular}{c}32y^3\\\text{when}\\a=2\end{tabular}") → C3
  26. LaTeX("\begin{tabular}{c}3\\\text{when}\\d=1\end{tabular}") → C4
  27. LaTeX("\begin{tabular}{c}12\\\text{when}\\x=-1\end{tabular}") → C5
  28. LaTeX("\begin{tabular}{c}4y^8\\\text{when}\\x=-1\end{tabular}") → C6
  29. LaTeX("\begin{tabular}{c}20\\\text{when}\\x=2\end{tabular}") → E2
  30. LaTeX("\begin{tabular}{c}10y^2\\\text{when}\\a=2\end{tabular}") → E3
  31. LaTeX("\begin{tabular}{c}18\\\text{when}\\d=1\end{tabular}") → E4
  32. LaTeX("\begin{tabular}{c}-168\\\text{when}\\x=2\end{tabular}") → E5
  33. LaTeX("\begin{tabular}{c}4x^3\\\text{when}\\y=1\end{tabular}") → E6
  34. LaTeX("\text{\textbf{Question: }Which expressions are equivalent?\\\textbf{Instructions: }Complete the puzzle by clicking on puzzle pieces that contain equivalent\\expressions.}") → TEXT
  35. Element(F2:F6, questionNum) → feedback
  36. Text(If[isLeftCorrect, correctLeftText, incorrectLeftText], puzzleAnchor + (3.25, 5.25), true, true) → matchedLeftText
  37. Text(If[isRightCorrect, correctRightText, incorrectRightText], puzzleAnchor + (10.25, 7.5), true, true) → matchedRightText