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Distributive Law of Multiplication over Addition (Pictorial)

Distributive Law of Multiplication over Addition (Pictorial)
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2014-01-12 15:22
PolygonFunctionTransformation
This applet illustrates the Distributive Law of Multiplication over Addition through graphical representation. It involves the core mathematical concepts of multiplication and addition. Using GeoGebra commands such as SelectedElement, Text, Sequence, Polygon, etc., multiple graphical objects like beanpic and rocketpic are constructed. Suitable for students at the junior high school level and above to learn the Distributive Law.

GeoGebra Commands & Parameters

  1. SelectedElement(CoefficientVariable2) → coefficientvariable2
  2. SelectedElement(CoefficientVariable1) → coefficientvariable1
  3. SelectedElement(FactorList) → factorvalue
  4. SelectedElement(Variable1) → var1
  5. SelectedElement(Variable2) → var2
  6. Text(If[coefficientvariable1 ≟ 1, "", LaTeX[coefficientvariable1]]) → coeffvar1text
  7. Text(If[coefficientvariable2 ≟ 1, "", LaTeX[coefficientvariable2]]) → coeffvar2text
  8. Text(If[factorvalue ≟ 1, "", LaTeX[factorvalue]]) → factortext
  9. Text(If[coefficientvariable1factored ≟ 1, "", LaTeX[coefficientvariable1factored]]) → coeffvar1factoredtext
  10. Sequence(Translate[Element[listImage2nd, SelectedIndex[Variable2]], Vector[(0, 0), ((4.1 * coefficientvariable1) - 1 + 6 + (4 * i), 0)]], i, 0, coefficientvariable2 - 1, 1) → variable2pic
  11. Text(If[coefficientvariable2factored ≟ 1, "", LaTeX[coefficientvariable2factored]]) → coeffvar2factoredtext
  12. Sequence(Translate[variable2pic, Vector[(0, 0), (0, (-4 * j))]], j, 0, factorvalue - 1, 1) → list2
  13. Polygon(A, B, C, D) → poly1, f, g, h, i
  14. Sequence(Translate[Element[listImage1st, SelectedIndex[Variable1]], Vector[(0, 0), (5 + (4 * i), 0)]], i, 0, coefficientvariable1 - 1, 1) → variable1pic
  15. Sequence(Translate[variable1pic, Vector[(0, 0), (0, (-4 * j))]], j, 0, factorvalue - 1, 1) → list1

AI Drawing Prompt Reference

Create a visual representation of the distributive law of multiplication over addition using multiple polygons and graphical elements. The illustration should include text labels for coefficients and variables, and construct several graphical objects through translation operations to demonstrate the mathematical concept. The construction sequence should visually show the logical relationship of mathematical operations, helping viewers understand the distributive process intuitively.
The prompt above was compiled from the original drawing commands and is for reference only.