Algebra II Module 1, Topic D, Lesson 37

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Student Outcomes 

  • Students define a complex number in the form a + bi, where a and b are real numbers and the imaginary unitsatisfies i 2 = −1.  Students geometrically identify i as a multiplicand effecting a 90° counterclockwise rotation of the real number line. Students locate points corresponding to complex numbers in the complex plane.
  • Students understand complex numbers as a superset of the real numbers; i.e., a complex number a + bi is real when b  = 0. Students learn that complex numbers share many similar properties of the real numbers: associative, commutative, distributive, addition/subtraction, multiplication, etc.

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Common Core Learning Standards

CCLS State Standard
N.CN.1 Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi...
N.CN.2 Use the relation i2 = –1 and the commutative, associative, and distributive properties to add,...

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