Midcontinent Research for Education and Learning
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Common Core Mathematics 912
Cluster
Represent complex numbers and their operations on the complex plane.
Grade 912
N.CN.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.
N.CN.5.
(+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.
For example,
(1 + √ 3i)
^{3}
= 8
because
(1 + √ 3i)
has modulus 2 and argument 120°.
N.CN.6.
(+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.