High School: Number and Quantity
HSN.CN.B5
(+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, (-1 + √3 i)3 = 8 because (-1 + √3 i) has modulus 2 and argument 120°.
October 1, 2018HSN.VM.B4b
Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
October 1, 2018HSN.CN.B6
(+) 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.
October 1, 2018HSN.VM.B4c
Understand vector subtraction v – w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.
October 1, 2018HSN.CN.C7
Solve quadratic equations with real coefficients that have complex solutions.
October 1, 2018HSN.CN.A1
Know there is a complex number i such that i² = -1, and every complex number has the form a + bi with a and b real.
October 1, 2018HSN.CN.A2
Use the relation i² = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
October 1, 2018