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Like Terms Within a Group by Cody Taggart

Like Terms Within a Group by Cody Taggart
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2020-11-25 09:47
FunctionCalculusProbability & Statistics
This example demonstrates the mathematical concept of identifying and combining like terms within a group. It involves core math concepts such as like terms, algebraic simplification, statistical characteristics, expected value, multiplication, limits, and distributions. The construction utilizes GeoGebra commands and objects like Zip, LaTeX, Polygon, PointIn, Textfield, Join, and TableText. It is suitable for high school mathematics students learning algebraic simplification techniques.

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 icons of apples, oranges, and bananas. Next to each fruit icon, place an input box for entering the count of that fruit. Below or beside each basket, show checkmarks and crosses indicating whether the entered counts are correct. The layout should be clear for practicing combining like terms.
The prompt above was compiled from the original drawing commands and is for reference only.