# Algebra II Standards and Resources

Syllabus:  Syllabus Fall 2017-2js4625

MGSE9-12.N.CN.9 Use the Fundamental Theorem of Algebra to find all roots of a polynomial equation.

Unit Two Standards:

MGSE9-12.A.APR.1 (Add, subtract & multiply polynomials)

MGSE9-12.A.APR.5 (Binomial Theorem)

MGSE9-12.A.APR.6 (Rewrite rational expressions)

MGSE9-12.F.BF.1 (Write a function)

MGSE9-12.F.BF.1b (Combine standard functions)

MGSE9-12.F.BF.1c (Compose functions)

MGSE9-12.F.BF.4 (Inverse functions)

MGSE9-12.F.BF.4a (f(x)=c & inverse)

MGSE9-12.F.BF.4b (Use composition to verify inverses)

MGSE9-12.F.BF.4c (Values of inverse function from graph or table)

Unit One Standards:

Perform arithmetic operations with complex numbers: Understand there is a complex number i such that i^2 = -1, and every complex number has the form a+bi where a and b are real numbers.  Use the relation i^2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.  Find the conjugate of a complex number; use the conjugate to find the quotient of complex numbers.

Use complex numbers in polynomial identities and equations:  Solve quadratic equations with real coefficients that have complex solutions by square roots, completing the square, and the quadratic formula.  Extend polynomial identities to include factoring with complex numbers.

Solve equations and inequalities in one variable:  Solve quadratic equations in one variable.  Solve quadratic equations by inspection, taking square roots, factoring, completing the square, and the quadratic formula.