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PR2-07-ET1: Like Terms in Statistics and Geometry

PR2-07-ET1: Like Terms in Statistics and Geometry
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2021-07-21 01:38
Coordinate GeometryGeometric Construction
This example demonstrates how to understand the concept of like terms through statistical data and geometric figures. Key mathematical concepts include statistical analysis, geometric construction, and data visualization. Construction involves using GeoGebra commands such as Zip, LaTeX, Polygon, etc. to create statistical tables and geometric shapes. Suitable for middle or high school mathematics learning to understand the integration of data organization and graphical representation.

GeoGebra Commands & Parameters

  1. Zip(A ≟ Text[B], A, {textBasket3apples, textBasket3oranges, textBasket3bananas}, B, {numBasket3apples, numBasket3oranges, numBasket3bananas}) → basket3correctness
  2. Zip(A ≟ Text[B], A, {textBasket2apples, textBasket2oranges, textBasket2bananas}, B, {numBasket2apples, numBasket2oranges, numBasket2bananas}) → basket2correctness
  3. Zip(A ≟ Text[B], A, {textBasket1apples, textBasket1oranges, textBasket1bananas}, B, {numBasket1apples, numBasket1oranges, numBasket1bananas}) → basket1correctness
  4. LaTeX(UnicodeToLetter[10003]) → cmark
  5. LaTeX(UnicodeToLetter[10007]) → xmark
  6. Polygon({(-8, 2), (-8, 6.5), (1.5, 6.5), (1.5, 2)}) → basket1quad
  7. PointIn(basket1quad) → basket1apple1
  8. PointIn(basket1quad) → basket1apple2
  9. PointIn(basket1quad) → basket1apple3
  10. PointIn(basket1quad) → basket1apple4
  11. PointIn(basket1quad) → basket1apple5
  12. PointIn(basket1quad) → basket1orange1
  13. PointIn(basket1quad) → basket1orange2
  14. PointIn(basket1quad) → basket1orange3
  15. PointIn(basket1quad) → basket1banana1
  16. PointIn(basket1quad) → basket1banana2
  17. PointIn(basket1quad) → basket1banana3
  18. PointIn(basket1quad) → basket1banana4
  19. Polygon({(22, 2), (22, 6.5), (31.5, 6.5), (31.5, 2)}) → basket3quad
  20. PointIn(basket3quad) → basket3apple1
  21. PointIn(basket3quad) → basket3apple2
  22. PointIn(basket3quad) → basket3apple3
  23. PointIn(basket3quad) → basket3apple4
  24. PointIn(basket3quad) → basket3banana1
  25. PointIn(basket3quad) → basket3banana2
  26. PointIn(basket3quad) → basket3banana3
  27. PointIn(basket3quad) → basket3orange1
  28. Textfield(textBasket1apples) → ansBoxBasket1apples
  29. Textfield(textBasket1oranges) → ansBoxBasket1oranges
  30. Textfield(textBasket1bananas) → ansBoxBasket1bananas
  31. Textfield(textBasket2apples) → ansBoxBasket2apples
  32. Textfield(textBasket2oranges) → ansBoxBasket2oranges
  33. Textfield(textBasket2bananas) → ansBoxBasket2bananas
  34. Textfield(textBasket3apples) → ansBoxBasket3apples
  35. Textfield(textBasket3oranges) → ansBoxBasket3oranges
  36. Textfield(textBasket3bananas) → ansBoxBasket3bananas
  37. Join({Sequence[(("SetLayer(imgBasket1apple" * q) * ", 8)"), q, 1, numBasket1apples], Sequence[(("SetLayer(imgBasket1orange" * q) * ", 8)"), q, 1, numBasket1oranges], Sequence[(("SetLayer(imgBasket1banana" * q) * ", 8)"), q, 1, numBasket1bananas]}) → basket1LayerCommands
  38. Join({Sequence[(("SetLayer(imgBasket2apple" * q) * ", 8)"), q, 1, numBasket2apples], Sequence[(("SetLayer(imgBasket2orange" * q) * ", 8)"), q, 1, numBasket2oranges], Sequence[(("SetLayer(imgBasket2banana" * q) * ", 8)"), q, 1, numBasket2bananas]}) → basket2LayerCommands
  39. Join({Sequence[(("SetLayer(imgBasket3apple" * q) * ", 8)"), q, 1, numBasket3apples], Sequence[(("SetLayer(imgBasket3orange" * q) * ", 8)"), q, 1, numBasket3oranges], Sequence[(("SetLayer(imgBasket3banana" * q) * ", 8)"), q, 1, numBasket3bananas]}) → basket3LayerCommands
  40. Polygon({(7, 2), (7, 6.5), (16.5, 6.5), (16.5, 2)}) → basket2quad
  41. PointIn(basket2quad) → basket2apple1
  42. PointIn(basket2quad) → basket2apple2
  43. PointIn(basket2quad) → basket2banana1
  44. PointIn(basket2quad) → basket2banana2
  45. PointIn(basket2quad) → basket2orange1
  46. PointIn(basket2quad) → basket2orange2
  47. PointIn(basket2quad) → basket2orange3
  48. PointIn(basket2quad) → basket2orange4
  49. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
  50. LaTeX("\textbf{Basket 1 contains:}") → basket1Header
  51. LaTeX("\textbf{Basket 2 contains:}") → basket2Header
  52. LaTeX("\textbf{Basket 3 contains:}") → basket3Header
  53. TableText({numBasket1apples, numBasket1oranges, numBasket1bananas}, {"\text{\vphantom{\dfrac{1}{2}}apple(s)}", "\text{\vphantom{\dfrac{1}{2}}orange(s)}", "\text{\vphantom{\dfrac{1}{2}}banana(s)}"}, If[isChecked, Zip[If[A, (("\textcolor{#254117}{" * cmark) * "}"), (("\textcolor{#e41b17}{" * xmark) * "}")], A, basket1correctness], {}], "v") → basket1Table
  54. TableText({numBasket2apples, numBasket2oranges, numBasket2bananas}, {"\text{\vphantom{\dfrac{1}{2}}apple(s)}", "\text{\vphantom{\dfrac{1}{2}}orange(s)}", "\text{\vphantom{\dfrac{1}{2}}banana(s)}"}, If[isChecked, Zip[If[A, (("\textcolor{#254117}{" * cmark) * "}"), (("\textcolor{#e41b17}{" * xmark) * "}")], A, basket2correctness], {}], "v") → basket2Table
  55. TableText({numBasket3apples, numBasket3oranges, numBasket3bananas}, {"\text{\vphantom{\dfrac{1}{2}}apple(s)}", "\text{\vphantom{\dfrac{1}{2}}orange(s)}", "\text{\vphantom{\dfrac{1}{2}}banana(s)}"}, If[isChecked, Zip[If[A, (("\textcolor{#254117}{" * cmark) * "}"), (("\textcolor{#e41b17}{" * xmark) * "}")], A, basket3correctness], {}], "v") → basket3Table

AI Drawing Prompt Reference

Draw three rectangular baskets arranged side by side, each containing randomly scattered fruit points distinguished by color or shape for apples, oranges, and bananas. Below or beside each basket, place three input boxes for entering the counts of each fruit type. Above the baskets, display a statistical table or text with checkmarks and crosses indicating whether each entry is correct. The overall layout should be clear, emphasizing the integration of data statistics and geometric shapes.
The prompt above was compiled from the original drawing commands and is for reference only.