- M.4HSTP.1
Find the conjugate of a complex number; use conjugates to find moduli (magnitude) and quotients of complex numbers.

- M.4HSTP.2
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.

- M.4HSTP.3
Represent addition, subtraction, multiplication and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. (e.g., ${(\u20131+\sqrt{3}i)}^{3}=8$ because $(\u20131+\sqrt{3}i)$ has modulus 2 and argument 120°.

- M.4HSTP.4
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.