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Mathematics > Course Model Algebra II (Traditional Pathway) > The Complex Number System
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Mathematics | Course : Model Algebra II (Traditional Pathway)

Domain - The Complex Number System

Cluster - Perform arithmetic operations with complex numbers.

[AII.N-CN.A.1] - Know there is a complex number i such that i2 = −1, and every complex number has the form a + bi with x-a and b real.

Resources:


  • Complex number
    A number that can be written as the sum or difference of a real number and an imaginary number.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AI.N-RN.B.3
    Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
  • AII.N-CN.A.2
    Use the relation i2 = –1 and the Commutative, Associative, and Distributive properties to add, subtract, and multiply complex numbers.
  • AII.N-CN.C.7
    Solve quadratic equations with real coefficients that have complex solutions.
  • AII.N-CN.C.8
    (+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i).
  • PC.N-CN.B.4
    (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.
  • PC.N-CN.C.8
    (+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i).