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Explore Factors in a + b = c

Explore Factors in a + b = c
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2015-12-20 10:09
Coordinate GeometryMatrixGeometric Construction
In collections Complex Math
This example demonstrates how to understand the components of the algebraic expression a + b = c through geometric figures. Key mathematical concepts include terms, factors, and sums. GeoGebra commands such as Factors, Segment, and MatrixRank are used to construct the figures. Suitable for middle school and above students to learn algebra and geometry.

GeoGebra Commands & Parameters

  1. Factors(a) → matrix1
  2. Factors(b) → matrix2
  3. Factors(c) → matrix3
  4. Segment(A, B) → g
  5. Factors(h) → matrix4
  6. Factors(i) → matrix5
  7. Factors(d) → matrix6
  8. MatrixRank(matrix1) → j
  9. MatrixRank(matrix2) → k
  10. MatrixRank(matrix3) → l
  11. MatrixRank(matrix4) → m
  12. MatrixRank(matrix5) → n
  13. MatrixRank(matrix6) → o
  14. ReducedRowEchelonForm(matrix1) → matrix7
  15. ReducedRowEchelonForm(matrix2) → matrix8
  16. ReducedRowEchelonForm(matrix3) → matrix9
  17. ReducedRowEchelonForm(matrix4) → matrix10
  18. ReducedRowEchelonForm(matrix5) → matrix11
  19. ReducedRowEchelonForm(matrix6) → matrix12
  20. Factors(p) → matrix13
  21. ReducedRowEchelonForm(matrix13) → matrix14