HS.N-CN.B The Complex Number System: Represent complex numbers and their operations on the complex plane.
HS.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.
HS.N-VM.A Vector & Matrix Quantities: Represent and model with vector quantities.
HS.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).
HS.N-VM.B.4.c 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.
HS.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).
HS.N-VM.C.9 Understand that, unlike the multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
HS.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.
HS.F-TF.A Trigonometric Functions: Extend the domain of trigonometric functions using the unit circle.
HS.F-TF.A.3 Use special triangles to determine geometrically the values to sine, cosine, tangent for π/3, π/4, and π/6 and use the unit circle to express the values sine, cosine, and tangent for x, π + x, and 2π - x and in terms of their values for x where x is any real number.
HS.F-TF.C Trigonometric Functions: Prove and apply trigonometric identities.
HS.F-TF.C.9 Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
3 Data, Statistics, and Probability
HS.S-MD.A Using Probability to Make Decisions: Calculate expected values and use them to solve problems.
HS.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.