High School Algebra II

Module One: Radical and Polynomial Operations 

-Convert between radical and rational exponent forms.

-Apply properties of rational exponents.

-Solve radical equations that include extraneous solutions.

-Evaluate powers of i.

-Use complex numbers to simplify radical expressions.

-Add, subtract, multiply, and divide complex numbers.

-Add, subtract, and multiply polynomials.

-Find inverses of functions.

Module Two: Factoring and Quadratics 

-Factor polynomials using grouping and special products.

-Factor the sum and difference of cubes.

-Solve quadratic equations by factoring.

-Solve quadratic equations by completing the square.

-Solve quadratic equations using the quadratic formula.

-Solve quadratic equations with complex solutions.

-Determine key features of quadratic functions.

-Graph quadratic functions from various formats.

-Use the focus and directrix to write and graph a quadratic function.

Module Three: Solving Polynomials 

-Divide polynomials using long division.

-Understand the Fundamental Theorem of Algebra.

-Understand the Factor and Remainder theorems.

-Describe the end behavior of polynomial functions.

-Identify key features of polynomial functions.

-Solve polynomial functions by graphing.

-Use zeros to graph polynomial functions.

-Apply polynomial functions to real-world scenarios.

-Prove and apply polynomial identities.

Module Four: Rational Equations 

-Simplify rational expressions and identify restrictions.

-Graph rational functions. 

-Identify key features of rational functions. 

-Solve rational equations. 

-Apply rational equations to real-world scenarios.

-Add, subtract, multiply, and divide rational expressions (honors).

-Divide polynomials using synthetic division (honors).

-Use the Binomial Theorem and Pascal's triangle (honors).

-Apply polynomial identities to complex numbers.

Module Five: Exponential and Logarithmic Functions 

-Create and solve exponential equations. 

-Apply exponential functions to real-world scenarios. 

-Explore exponential growth using compound interest.

-Use e to calculate continuously compounded interest.

-Solve logarithmic equations.

-Use logarithms to solve exponential equations. 

-Graph and transform exponential and logarithmic functions. 

-Fit existing data to exponential functions. 

Module Six: Systems of Equations 

-Solve systems of linear equations algebraically. 

-Use graphing to solve systems of linear equations. 

-Solve systems of nonlinear equations algebraically.

-Use graphing to solve systems of nonlinear equations.

-Apply systems of equations to real-world scenarios. 

Module Seven: Sequences and Series

-Write and solve arithmetic and geometric sequences.

-Solve arithmetic series.

-Solve finite geometric series.

-Use sigma notation.

-Graph sequences and series.

Module Eight: Statistics

-Determine sets and subsets of a sample space.

-Find unions, intersections, and complements.

-Determine and interpret independent and conditional probability.

-Use two-way tables to calculate probability.

-Apply the Addition Rule.

-Calculate z-scores using a normal distribution.

-Calculate margin of error.

-Find permutations and combinations (honors).

-Use the general Multiplication Rule to calculate the probability of compound events (honors).

-Make fair decisions using probability (honors).

Module Nine: Trigonometry

-Use the unit circle to calculate sine, cosine, and tangent in degrees and radians.

-Graph the sine, cosine, and tangent functions.

-Apply trigonometric functions to real-world periodic phenomena.

-Analyze and compare functions of all types.