### N: Number and Quantity

#### N.CN: Complex Number System

(Framing Text): Perform arithmetic operations with complex numbers.

N.CN.3: Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

Points in the Complex Plane

(Framing Text): Represent complex numbers and their operations on the complex plane.

N.CN.4: Represent complex numbers on the complex plane in rectangular form and polar form (including real and imaginary numbers), and explain why the rectangular form of a given complex number represents the same number.

Points in the Complex Plane

(Framing Text): Use complex numbers in polynomial identities and equations.

N.CN.10: Multiply complex numbers in polar form and use DeMoivre’s Theorem to find roots of complex numbers.

Points in the Complex Plane

### F: Functions

#### F.IF: Interpreting Functions

(Framing Text): Analyze functions using different representations.

F.IF.7: Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.7.d: Graph rational functions, identifying zeros, asymptotes, and point discontinuities when suitable factorizations are available, and showing end behavior.

General Form of a Rational Function

Rational Functions

#### F.BF: Building Functions

(Framing Text): Build new functions from existing functions.

F.BF.4: Find inverse functions.

F.BF.4.b: Verify by composition that one function is the inverse of another.

Logarithmic Functions

F.BF.4.c: Read values of an inverse function from a graph or a table, given that the function has an inverse.

Logarithmic Functions

F.BF.5: Understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents.

Logarithmic Functions

#### F.TF: Trigonometric Functions

(Framing Text): Prove and apply trigonometric identities.

F.TF.9: Prove the addition and subtraction formulas for sine, cosine, and tangent, and use them to solve problems.

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

### S: Statistics and Probability

#### S.CP: Conditional Probability and the Rules of Probability

(Framing Text): Use the rules of probability to compute probabilities of compound events in a uniform probability model.

S.CP.9: Use permutations and combinations to compute probabilities of compound events and solve problems.

Binomial Probabilities

Permutations and Combinations

Correlation last revised: 9/16/2020