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Download Algebra II (10) Semester 2 Exam Outline – May 2015 Unit 1
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Algebra II (10) Semester 2 Exam Outline – May 2015 Unit 1: Polynomial Functions Identify, evaluate, add and subtract polynomials. (6.1) Classify and graph polynomials. (6.1) Multiply polynomials, use binomial expansion to expand binomial expressions that are raised to positive integer powers. (6.2) Use long division and synthetic division to divide polynomials. (6.3) Use the factor theorem to determine factors of a polynomial. (6.4) Factor the sum and difference of two cubes. (6.4) Identify the multiplicity of roots. Solve polynomials with rational and irrational roots. (6.5) Write a polynomial equation of least degree with given roots. (6.6) Identify all of the roots of a polynomial equation. (6.6) Use properties of end behavior to analyze, describe, and graph polynomial functions. (6.7) Identify and use maxima and minima of polynomial functions to solve problems. (6.7) Transform polynomial functions. (6.8) Unit 2: Exponential and Logarithmic Functions Write and evaluate exponential expressions to model growth and decay situations. (7.1) Graph and recognize inverses of relations and functions. (7.2) Write equivalent forms for exponential and logarithmic functions. (7.3) Write, evaluate, and graph logarithmic functions. (7.3) Use properties to simplify logarithmic expressions. (7.4) Translate between logarithms in any base. (7.4) Solve exponential and logarithmic equations. Solve problems involving exponential and logarithmic equations. (7.5) Use the number e to write and graph exponential functions representing real-world situations. (7.6) Solve equations and problems involving e or natural logarithms. (7.6) Unit 3: Rational and Radical Functions Solve problems involving direct, inverse, joint, and combined variation. (8.1) Simplify rational expressions. (8.2) Multiply and divide rational expressions. (8.2) Add and subtract rational expressions. Simplify complex fractions. (8.3) Graph rational functions. Transform rational functions by changing parameters. (8.4) Solve rational equations and inequalities. (8.5) Rewrite radical expressions by using rational exponents. (8.6) Simplify and evaluate radical expressions and expressions containing rational exponents. (8.6) Graph and transform radical functions and inequalities. (8.7) Solve radical equations and inequalities. (8.8) Unit 4: Probability and Statistics Solve problems involving the fundamental counting principle. (11.1) Solve problems involving permutations and combinations. (11.1) Find the theoretical probability of an event. (11.2) Find the experimental probability of an event. (11.2) Determine whether events are independent or dependent. (11.3) Find the probability of independent and dependent events. (11.3) Find the probability of mutually exclusive or inclusive events. (11.4) Find measures of central tendency and measures of variation for statistical data. (11.5) Examine the effect of outliers on statistical data. (11.5) Use the Binomial Theorem to expand a binomial raised to a power. (11.6) Find binomial probabilities and test hypotheses. (11.6)