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Fraction Simplification Interactive Practice (5_6_Simplificación de fracciones)

Fraction Simplification Interactive Practice (5_6_Simplificación de fracciones)
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2020-11-30 02:42
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① This example is an interactive practice tool for simplifying fractions, where users input a numerator and denominator, and the system automatically decomposes them into prime factors and shows the step-by-step reduction process, making the concept intuitive. ② Core math concepts include prime factorization, greatest common factor, equivalent fractions, and simplest form, rooted in number theory and arithmetic. ③ Construction highlights: It uses GeoGebra commands such as PrimeFactors to factorize numerator and denominator, Append to build factor lists, TableText to generate step tables, Textfield and CasillaDeEntrada for user input, califica3 for automatic scoring, and LaTeX for rendering formulas; key objects include numerador, denominador, factoresnumerador, factoresdenominador, izquierdanumerador, izquierdadenominador, plus several polygons (polígono1~6) serving as visual decoration or progress indicators. ④ Suitable for upper elementary to middle school students learning fraction simplification, and useful for classroom demonstration or self-paced practice with immediate feedback to enhance computational fluency.

GeoGebra Commands & Parameters

  1. PrimeFactors(numerador) → factoresnumerador
  2. PrimeFactors(denominador) → factoresdenominador
  3. Append(numerador, Sequence[numerador / Product[factoresnumerador, i], i, 1, Length[factoresnumerador]]) → izquierdanumerador
  4. Append(denominador, Sequence[denominador / Product[factoresdenominador, i], i, 1, Length[factoresdenominador]]) → izquierdadenominador
  5. TableText({izquierdanumerador, factoresnumerador}, "vc |010") → p2texto5_3
  6. TableText({izquierdadenominador, factoresdenominador}, "vc |010") → p2texto5_4
  7. Textfield(varnum) → p2CasillaDeEntrada1
  8. Textfield(varden) → p2CasillaDeEntrada2
  9. califica3(-16, 4, 0.5, 2, 3, 5, aciertos, nivel) → polígono1, polígono2, E, F, polígono3, polígono4, polígono5, polígono6, A, B, C, D
  10. LaTeX((((((((((("\frac{" * numerador) * "}{") * denominador) * "} = ") * TableText[{factoresnumerador, factoresdenominador}, "c _010"]) * " = \frac{") * numerador / GCD[numerador, denominador]) * "}{") * denominador / GCD[numerador, denominador]) * "}")) → p2texto6
  11. TableText({izquierdanumerador, factoresnumerador}, "vc |010") → p3texto3_3
  12. TableText({izquierdadenominador, factoresdenominador}, "vc |010") → p3texto3_4
  13. TableText({{LaTeX[(((("\frac{" * numerador) * "}{") * denominador) * "}")], "=", If[muestra ≟ 2, LaTeX[(((("\frac{" * numerador / GCD[numerador, denominador]) * "}{") * denominador / GCD[numerador, denominador]) * "}")], LaTeX["\frac{\red{\;?\;}}{\red{\;?\;}}"]]}, {"", ""}}, "rcl") → p3texto4_1

AI Drawing Prompt Reference

Create an interactive fraction simplification practice tool where users input a numerator and denominator, and the system automatically decomposes them into prime factors and shows the step-by-step reduction process. Include prime factorization, greatest common factor, equivalent fractions, and simplest form. Factorize the numerator and denominator, build factor lists, generate step tables, provide input fields, auto-score, and render formulas. Key elements are the numerator, denominator, factor lists, reduction steps, and decorative polygons.
The prompt above was compiled from the original drawing commands and is for reference only.