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 Algebra II Accelerated Syllabus 1. Review Algebra I concepts. a. Solve linear systems. b. Graph systems of linear inequalities. c. Properties of exponents. d. Factor quadratic expressions. e. Solve quadratic equations by factoring. 2. Linear systems and matrices a. Solve linear systems in three variables. b. Perform basic matrix operations. c. Multiply matrices. d. Evaluate determinants and apply Cramer’s Rule. e. Find inverse matrices, and use them to solve linear systems. 3. Quadratic functions. a. Review graphing quadratic functions in standard form. b. Graph quadratic functions in vertex form and intercept form. c. Solve quadratic equations by completing the square. d. Perform operations with complex numbers. e. Use the quadratic formula and the discriminant. f. Graph and solve quadratic inequalities. g. Write quadratic functions and models. 4. Polynomials and polynomial functions. a. Evaluate and graph polynomial functions. b. Add, subtract, and multiply polynomials. c. Factor and solve polynomial equations. d. Apply the Remainder Theorem and the Factor Theorem. e. Find rational zeroes. f. Apply the Fundamental Theorem of Algebra. g. Analyze graphs of polynomials functions. h. Write polynomials functions and models. 5. Rational exponents and radical functions. a. Evaluate nth roots and use rational exponents. b. Apply properties of rational exponents. c. Perform function operations and composition. d. Use inverse functions. e. Graph square root and cube root functions. f. Solve radical equations. 6. Exponential and logarithmic functions. a. Write and graph exponential growth and exponential decay functions. b. Use functions involving e. c. Evaluate logarithms. d. Graph logarithmic functions. e. Apply properties of logarithms. f. Solve exponential and logarithmic equations. g. Write and apply exponential and power functions. 7. Rational functions. a. Model inverse and joint variation. b. Graph simple rational functions. c. Graph general rational functions. d. Multiply and divide rational expressions. e. Add and subtract rational expressions. f. Solve rational equations. 8. Quadratic relations and conic sections. a. Apply the distance and midpoint formulas. b. Graph and write equations of parabolas. c. Graph and write equations of circles. d. Graph and write equations of ellipses. e. Graph and write equations of hyperbolas. f. Applications with conic sections. g. Translate and classify conic sections. h. Solve quadratic systems. 9. Counting methods and probability. a. Apply the counting principle and permutations. b. Use combinations and the Binomial Theorem. c. Define and use probability. d. Find probabilities of disjoint and overlapping events. e. Find probabilities of independent and dependent events. f. Construct and interpret binomial distributions. 10. Data Analysis and statistics. a. Find measures of central tendency and dispersion. b. Apply transformations to data. c. Use normal distributions. d. Select and draw conclusions from samples. e. Choose the best model for two-­‐variable data. 11. Sequences and series. a. Define and use sequences and series. b. Analyze arithmetic sequences and series. c. Analyze geometric sequences and series. d. Find sums of infinite geometric series. e. Use recursive rules with sequences and functions.