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Lesson Plan: Complex Number Properties - Grade 12 - Grade 12
Grade:12
Summary:Students review the properties of real numbers and apply them to different types of systems, including geometric rotations and complex numbers. Students experiment with complex numbers to see which properties apply to the system of complex numbers.
Ohio Standards Connection
Content Area:
Mathematics
 
Standard: Number, Number Sense and Operations
Benchmark: E. Represent and compute with complex numbers.
Indicator: 1. Determine what properties (closure, identity, inverse, commutative and associative) hold for operations with complex numbers.
 
Standard: Number, Number Sense and Operations
Benchmark: B. Develop an understanding of properties of and representations for addition and multiplication of vectors and matrices.
 
Standard: Number, Number Sense and Operations
Benchmark: C. Apply factorials and exponents, including fractional exponents, to solve practical problems.
Related Ohio Standards Connection
Content Area:
Mathematics
 
Standard: Mathematical Processes
Benchmark: B. Construct logical verifications or counter-examples to test conjectures and to justify or refute algorithms and solutions to problems.
 
Standard: Mathematical Processes
Benchmark: D. Select and use various types of reasoning and methods of proof.
 
Standard: Mathematical Processes
Benchmark: H. Use formal mathematical language and notation to represent ideas, to demonstrate relationships within and among representation systems, and to formulate generalizations.





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