UT--Core Standards
(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.
(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.
(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.
(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
(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.
F.BF.4.c: Read values of an inverse function from a graph or a table, given that the function has an inverse.
F.BF.5: Understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents.
(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
(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