N-VM.A Represent and model with vector quantities.
N-VM.A.1 Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).
N-VM.C.10 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.
A-APR Arithmetic with Polynomials and Rational Expressions
A-APR.C Use polynomial identities to solve problems.
A-APR.C.5 Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.
A-REI Reasoning with Equations and Inequalities
A-REI.C Solve systems of equations.
A-REI.C.8 Represent a system of linear equations as a single matrix equation in a vector variable.
F-TF.A Extend the domain of trigonometric functions using the unit circle.
F-TF.A.3 Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.
G-GPE.A.3.a Use equations and graphs of conic sections to model real-world problems.
G-GMD Geometric Measurement and Dimension
G-GMD.A Explain volume formulas and use them to solve problems.
G-GMD.A.2 Give an informal argument using Cavalieri's principle for the formulas for the volume of a sphere and other solid figures.
S Statistics and Probability
S-CP Conditional Probability and the Rules of Probability
S-CP.B Use the rules of probability to compute probabilities of compound events in a uniform probability model.
S-CP.B.8 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.
S-CP.B.9 Use permutations and combinations to compute probabilities of compound events and solve problems.
S-MD Using Probability to Make Decisions
S-MD.A Calculate expected values and use them to solve problems.
S-MD.A.1 Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.
S-MD.B.6 Use probabilities to make fair decisions (e.g., drawing by lots or using a random number generator).
S-MD.B.7 Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, or pulling a hockey goalie at the end of a game and replacing the goalie with an extra skater).