High School: Number and Quantity

HSN.VM.B4b

Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

October 1, 2018
HSN.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, 2018
HSN.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, 2018
HSN.CN.C7

Solve quadratic equations with real coefficients that have complex solutions.

October 1, 2018
HSN.VM.B5

(+) Multiply a vector by a scalar.

October 1, 2018
HSN.CN.C8

(+) Extend polynomial identities to the complex numbers. For example, rewrite x² + 4 as (x + 2i)(x – 2i).

October 1, 2018
HSN.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, 2018
HSN.CN.A2

Use the relation i² = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

October 1, 2018