Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.1

Identify numbers written in the form $a + bi$, where $a$ and $b$ are real numbers and $i^2 = -1$, as complex numbers.

Unpacked Content

Knowledge

Students know:

  • Combinations of operations on complex number that produce equivalent expressions.
  • Properties of operations and equality that verify this equivalence.

Skills

Students are able to:

  • Perform arithmetic manipulations on complex numbers to produce equivalent expressions.

Understanding

Students understand that:

  • Complex number calculations follow the same rules of arithmetic as combining real numbers and algebraic expressions.

Vocabulary

  • Complex number
  • Commutative property
  • Associative property
  • Distributive property
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