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Number Cross Puzzle

Number Cross Puzzle
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2019-10-31 08:02
SequenceMatrixGeometric Construction
This example demonstrates an interactive solution to a number cross puzzle, involving core math concepts like arithmetic operations, integers, matrices, and geometric constructions. It uses GeoGebra commands such as Sequence, Shuffle, and If, along with objects like l1-l5, f, a1-a6, and text1-text24. Suitable for middle school and above students learning logical reasoning and geometric constructions.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[Polygon[((2 * i), (2 * j) - 1), ((2 * i) + 1, (2 * j) - 1), 4], i, 0, 2], j, 1, 3) → l1
  2. Sequence(Random[1, 3], i, 1, 12) → l2
  3. Sequence(If[Element[l2, i] ≟ 1, "+", If[Element[l2, i] ≟ 2, "-", "x"]], i, 1, 12) → l3
  4. Shuffle(Sequence[1, 9]) → l4
  5. If(Element[l2, 1] ≟ 3, f(f(Element[l4, 1], Element[l4, 2], 3), Element[l4, 3], Element[l2, 2]), If[Element[l2, 2] ≟ 3, f(Element[l4, 1], f(Element[l4, 2], Element[l4, 3], 3), Element[l2, 1]), f(f(Element[l4, 1], Element[l4, 2], Element[l2, 1]), Element[l4, 3], Element[l2, 2])]) → a1
  6. If(Element[l2, 3] ≟ 3, f(f(Element[l4, 4], Element[l4, 5], 3), Element[l4, 6], Element[l2, 4]), If[Element[l2, 4] ≟ 3, f(Element[l4, 4], f(Element[l4, 5], Element[l4, 6], 3), Element[l2, 3]), f(f(Element[l4, 4], Element[l4, 5], Element[l2, 3]), Element[l4, 6], Element[l2, 4])]) → a2
  7. If(Element[l2, 5] ≟ 3, f(f(Element[l4, 7], Element[l4, 8], 3), Element[l4, 9], Element[l2, 6]), If[Element[l2, 6] ≟ 3, f(Element[l4, 7], f(Element[l4, 8], Element[l4, 9], 3), Element[l2, 5]), f(f(Element[l4, 7], Element[l4, 8], Element[l2, 5]), Element[l4, 9], Element[l2, 6])]) → a3
  8. If(Element[l2, 7] ≟ 3, f(f(Element[l4, 1], Element[l4, 4], 3), Element[l4, 7], Element[l2, 8]), If[Element[l2, 8] ≟ 3, f(Element[l4, 1], f(Element[l4, 4], Element[l4, 7], 3), Element[l2, 7]), f(f(Element[l4, 1], Element[l4, 4], Element[l2, 7]), Element[l4, 7], Element[l2, 8])]) → a4
  9. If(Element[l2, 9] ≟ 3, f(f(Element[l4, 2], Element[l4, 5], 3), Element[l4, 8], Element[l2, 10]), If[Element[l2, 10] ≟ 3, f(Element[l4, 2], f(Element[l4, 5], Element[l4, 8], 3), Element[l2, 9]), f(f(Element[l4, 2], Element[l4, 5], Element[l2, 9]), Element[l4, 8], Element[l2, 10])]) → a5
  10. If(Element[l2, 11] ≟ 3, f(f(Element[l4, 3], Element[l4, 6], 3), Element[l4, 9], Element[l2, 12]), If[Element[l2, 12] ≟ 3, f(Element[l4, 3], f(Element[l4, 6], Element[l4, 9], 3), Element[l2, 11]), f(f(Element[l4, 3], Element[l4, 6], Element[l2, 11]), Element[l4, 9], Element[l2, 12])]) → a6
  11. Sequence(Sequence[Polygon[((2 * i) - 1, (2 * j)), ((2 * i), (2 * j)), 4], i, 1, 2], j, 1, 2) → l5

AI Drawing Prompt Reference

Create an interactive solution for a number cross puzzle featuring a grid of squares, each randomly filled with addition, subtraction, or multiplication signs, and demonstrate the calculation process using matrices and geometric constructions to show a clear step-by-step solution.
The prompt above was compiled from the original drawing commands and is for reference only.