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Like Terms Grouping

Like Terms Grouping
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2019-01-07 23:00
FunctionInequalityGeometric Construction
This example demonstrates how to group like terms within algebraic expressions. It involves core math concepts like identifying like terms, algebraic combination, and polynomial simplification. Constructed using GeoGebra commands and objects such as Zip, LaTeX, Polygon, PointIn, Textfield, Join, and TableText. Suitable for middle school and above students learning algebraic manipulation 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 baskets, each represented by a rectangle, containing different numbers of apples, oranges, and bananas. Arrange the baskets from left to right. The first basket has 5 apples, 2 oranges, and 3 bananas; the second basket has 2 apples, 4 oranges, and 2 bananas; the third basket has 3 apples, 3 oranges, and 3 bananas. Label the number of each fruit in each basket and use symbols to indicate correct and incorrect selections.
The prompt above was compiled from the original drawing commands and is for reference only.