Common Core: MATH.CONTENT

HSS.CP.A1

Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

October 1, 2018
HSS.CP.A2

Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

October 1, 2018
HSN.VM.A3

(+) Solve problems involving velocity and other quantities that can be represented by vectors.

October 1, 2018
HSN.CN.A3

(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

October 1, 2018
HSN.VM.B4

(+) Add and subtract vectors.

October 1, 2018
HSN.CN.B4

(+) 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.

October 1, 2018
HSN.VM.B4a

Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

October 1, 2018
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, 2018
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