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Georgia standard · Mathematics

LACS.GSR.5Matrices as geometric transformations

Solve contextual, mathematical problems involving matrices as geometric transformations and to explain real-life phenomena.

Appears in: Mathematics, High School

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Expectations

  • Find and use matrices which represent geometric transformations.

    • LACS.GSR.5.1

      Given a 2-by-2 or 3-by-3 linear transformation matrix, describe the transformation a geometric figure undergoes.

    • LACS.GSR.5.2

      Find matrices that represent scalings, reflections, and rotations of geometric figures.

    • LACS.GSR.5.3

      Find a matrix that represents a combination of transformations.

    • LACS.GSR.5.4

      Find the image of a point under a transformation.

    • LACS.GSR.5.5

      Find the area of a polygon given its coordinates using matrices; find the area of the image of a polygon after a transformation.

    • LACS.GSR.5.6

      Write code to perform transformations in two-dimensional geometry using matrix operations.

  • Use matrices as functions.

    • LACS.GSR.5.7

      Define functions from n dimensions to m dimensions as vectors and/or matrices.

    • LACS.GSR.5.8

      Find the image and preimage of a linear map using matrices; determine whether the linear map is one-to-one.

    • LACS.GSR.5.9

      Find and interpret geometrically the set of preimages of a vector under a given matrix.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.

LACS.GSR.5: Matrices as geometric transformations | Georgia Mathematics Standard | Georgia Homeroom