Common Core State

HSS.CP.A5

Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.

October 1, 2018
HSS.CP.B6

Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.

October 1, 2018
HSS.CP.B7

Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.

October 1, 2018
HSS.CP.B8

(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.

October 1, 2018
HSN.VM.B5a

Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).

October 1, 2018
HSS.CP.B9

(+) Use permutations and combinations to compute probabilities of compound events and solve problems.

October 1, 2018
HSN.VM.B5b

Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).

October 1, 2018
HSS.IC.A1

Understand statistics as a process for making inferences about population parameters based on a random sample from that population.

October 1, 2018
HSN.VM.C6

(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.

October 1, 2018
HSS.IC.A2

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?

October 1, 2018
HSN.VM.C7

(+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.

October 1, 2018
HSN.VM.C8

(+) Add, subtract, and multiply matrices of appropriate dimensions.

October 1, 2018