Arkansas flagArkansas: MO Math Standards

16 standards · 2 domains

MO.1

  • MO.1.AIII.1 Use matrices to represent and manipulate data (e.g., to represent payoffs or incidence relationships in a network)
  • MO.1.AIII.2 Multiply matrices by scalars to produce new matrices (e.g., as when all of the payoffs in a game are doubled)
  • MO.1.AIII.3 Add, subtract, and multiply matrices of appropriate dimensions
  • MO.1.AIII.4 Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties
  • MO.1.AIII.5 Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers; the determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse
  • MO.1.AIII.6 Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector; work with matrices as transformations of vectors
  • MO.1.AIII.7 Work with 2 X 2 matrices as transformations of the plane; interpret the absolute value of the determinant in terms of area
  • MO.1.AIII.8 Represent a system of linear equations as a single matrix equation in a vector variable
  • MO.1.AIII.9 Find the inverse of a matrix if it exists; use the inverse to solve systems of linear equations using technology for matrices of dimension 3 X 3 or greater

MO.4

  • MO.4.ATMM.1 Use matrices to represent and manipulate data (e.g., to represent payoffs or incidence relationships in a network)
  • MO.4.ATMM.2 Multiply matrices by scalars to produce new matrices (e.g., all the payoffs in a game are doubled)
  • MO.4.ATMM.3 Add, subtract, and multiply matrices of appropriate dimensions
  • MO.4.ATMM.4 Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties
  • MO.4.ATMM.5 Understand that zero and identity matrices play a role in matrix addition and multiplication similar to 0 and 1 in real numbers; the determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse
  • MO.4.ATMM.6 Represent a system of linear equations as a single matrix equation in a vector variable
  • MO.4.ATMM.7 Find the inverse of a matrix if it exists, and use it to solve systems of linear equations; utilize technology to find the inverse of matrices with dimensions of 3 x 3 or greater