Represent complex numbers and their operations on the complex plane.
N.CN.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.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.
N.VM.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. Discover that 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
Use polynomial identities to solve problems.
A.APR.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.APR.7 Discover that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
F.BF.6 Use reciprocal properties to develop definitions for cotangent, cosecant, and secant.
F.TF Trigonometric Functions
Extend the domain of trigonometric functions using the unit circle.
F.TF.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.
PC.PE.1 Given equations for a parametric function, plot the graph and make conclusions about the geometric figure that result.
PC.PE.2 Convert between a pair of parametric equations and an equation in x and y. Model and solve problems using parametric equations.
Define a continuous function.
PC.L.1 Determine if a function is continuous at a point. Find the types of discontinuities of a function and relate them to finding limits of a function. Use the concept of limits to describe discontinuity and end-behavior of the function.
PC.L.2 Demonstrate knowledge of both the definition and graphical interpretation of limits of values of functions and sequences. Verify and estimate limits using graphs, tables, and technology.
PC.L.3 Evaluate limits of functions and apply properties of limits, including one-sided limits and limits at infinity using algebra.
PC.S.1 Define arithmetic and geometric sequences and series. Model and solve word problems involving applications of sequences and series, interpret the solutions and determine whether the solutions are reasonable.