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Topic: Vectors 

Mathematics

 Standard 5.  Understands and applies basic and advanced properties of the concepts of geometry
  Level IV (Grade 9-12)
   Benchmark 4.Understands the characteristics and uses of vectors (e.g., representations of velocity and force)
    Knowledge/skill statements
     1.Understands the representation of force by a vector
     2.Understands the concept of force
     3.Understands the representation of velocity by a vector
     4.Understands the characteristics of vectors
     5.Understands that vectors have a magnitude and a direction component
   Benchmark 6.Uses the properties of vectors and basic operations on vectors (e.g., vector addition, scalar multiplication) to solve problems (e.g., involving velocity)
    Knowledge/skill statements
     1.Understands the basic concept of vectors
     2.Determines the dot product of vectors
     3.Determines the cross product of vectors
     4.Adds vectors
     5.Uses the properties of vectors to solve problems
     6.Uses the properties of vectors to solve problems involving velocity
     7.Uses vector addition to solve problems
     8.Uses scalar multiplication to solve problems