N.CN.B Represent complex numbers and their operations on the complex plane.
N.CN.B.4 (+) 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.
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.B.4.c (+) Demonstrate understanding of 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 componentwise.
N.VM.B.5.b (+) 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).
N.VM.C.9 (+) Demonstrate understanding that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
N.VM.C.10 (+) Demonstrate understanding 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.
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.
F.TF.C.9 Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
G.GPE Expressing Geometric Properties with Equations
G.GPE.A Translate between the geometric description and the equation for a conic section.
G.GPE.A.3 (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
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.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.