Common Core: MATH.CONTENT
HSS.CP.B9
(+) Use permutations and combinations to compute probabilities of compound events and solve problems.
October 1, 2018HSN.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, 2018HSS.IC.A1
Understand statistics as a process for making inferences about population parameters based on a random sample from that population.
October 1, 2018HSN.VM.C6
(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.
October 1, 2018HSS.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, 2018HSN.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, 2018HSN.VM.C9
(+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
October 1, 2018HSN.VM.C10
(+) Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.
October 1, 2018HSN.VM.C11
(+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.
October 1, 2018HSS.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, 2018HSS.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