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Topic: Uses of Mathematics 

Mathematics

 Standard 9.  Understands the general nature and uses of mathematics
  Level II (Grade 3-5)
   Benchmark 1.Understands that numbers and the operations performed on them can be used to describe things in the real world and predict what might occur
    Knowledge/skill statements
     1.Understands that operations on numbers apply to real world situations
     2.Understands that numbers apply to real world situations
     3.Understands that numbers can be used to predict what might occur in the real world
     4.Understands that operations on numbers can be used to predict what might occur in the real world
  Level III (Grade 6-8)
   Benchmark 1.Understands that mathematics has been helpful in practical ways for many centuries
    Knowledge/skill statements
     1.Understands that mathematics has helped humankind for centuries
  Level IV (Grade 9-12)
   Benchmark 2.Understands that mathematics began long ago to help solve practical problems; however, it soon focused on abstractions drawn from the world and then on abstract relationships among those abstractions
    Knowledge/skill statements
     1.Understands that mathematics began long ago to solve practical problems
     2.Understands that mathematics evolved from a focus on real world problems to relationships between abstractions and the real world
     3.Understands that mathematics evolved from a focus on abstractions and the real world to the relationships among abstractions
   Benchmark 7.Understands that mathematics provides a precise system to describe objects, events, and relationships and to construct logical arguments
    Knowledge/skill statements
     1.Understands that mathematics provides a precise system to construct logical arguments
     2.Understands that mathematics provides a precise system to describe relationships
     3.Understands that mathematics provides a precise system to describe events
     4.Understands that mathematics provides a precise system to describe objects