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Topic: Matrices 

Mathematics

 Standard 2.  Understands and applies basic and advanced properties of the concepts of numbers
  Level IV (Grade 9-12)
   Benchmark 3.Uses discrete structures (e.g., finite graphs, matrices, sequences) to represent and to solve problems
    Knowledge/skill statements
     1.Determines whether a problem can be modeled by number sequences
     2.Determines whether a problem can be solved by identifying number sequences
     3.Understands the concept of a number sequence
     4.Understands the concept of finite graphs
     5.Determines whether a problem can be modeled by finite graphs
     6.Understands the concept of discrete structures
     7.Determines whether a problem can be solved by using finite graphs
     8.Determines whether a problem can be modeled using matrices
     9.Determines whether a problem can be solved by using matrices
     10.Determines whether a problem can be modeled using discrete structures
     11.Determines whether a problem can be solved by using discrete structures
 Standard 3.  Uses basic and advanced procedures while performing the processes of computation
  Level IV (Grade 9-12)
   Benchmark 5.Understands basic applications of and operations on matrices
    Knowledge/skill statements
     1.Understands the concept of a matrix
     2.Adds matrices
     3.Subtracts matrices
     4.Multiplies matrices
     5.Divides matrices
     6.Understands the applications of matrices
 Standard 8.  Understands and applies basic and advanced properties of functions and algebra
  Level IV (Grade 9-12)
   Benchmark 2.Uses expressions, equations, inequalities, and matrices to represent situations that involve variable quantities and translates among these representations
    Knowledge/skill statements
     1.Understands the relationship between inequalities and equations
     2.Transforms inequalities to equations
     3.Understands the relationship between equations and matrices
     4.Represents equations in matrix form
     5.Understands the relationship between expressions and equations
     6.Understands the relationship between expressions and inequalities
     7.Understands the relationship between expressions and matrices
     8.Understands the relationship between inequalities and matrices
     9.Understands the concept of an algebraic expressions
   Benchmark 11.Uses a variety of methods (e.g., with graphs, algebraic methods, and matrices) to solve systems of equations and inequalities
    Knowledge/skill statements
     1.Solves systems of equations using graphs
     2.Solves systems of equations using matrices
     3.Solves systems of equations using algebraic methods
     4. Understands the concept of systems of inequalities
     5.Solves systems of inequalities using algebraic methods
     6.Solves systems of inequalities using graphs
     7.Solves systems of inequalities using matrices