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Algebra 2 Pacing Guide Days 13 Units Notes Chapter 1 (1.1-1.6) Equations and Inequalities Properties of real numbers, evaluate and simplify algebraic expressions, solve linear equations and inequalities, problem solving Linear Equations and Functions Represent relations and functions, find slope, graph and write equations of lines, scatter plots, lines of best fit and residuals 13 Chapter 2A (2.1-2.4, 2.6) 7 Chapter 2B (1.7, 2.7-2.8) Linear Equation Applications and Inequalities Solve absolute value equations and inequalities, graph absolute value functions and transformations; graph linear inequalities in two variables 12 Chapter 3A (3.1-3.4) Systems of Equations and Inequalities Solve systems of equations by graphing, substitution, elimination; graph systems of inequalities; linear programming (applications of systems of inequalities) End of Quarter 1 (45 days) 2 9 Chapter 3B (3.5-3.8) 16 Chapter 4A 7 Chapter 4B (4.3-4.5, 4.7) 6 Chapter 4B (con’t) 4.8, all Chapter 4C (4.1, 4.2, 4.10) Quarter 1 Test Matrices Perform matrix operations (add, subtract, multiply), evaluate determinants, use inverse matrices to solve linear systems Intro to Polynomials & Factoring Identify polynomial functions; add, subtract, multiply polynomials; factor polynomials (GCF, grouping, trinomials, squares, cubes); simplify radical expressions, simplify complex number expressions (add, subtract, multiply only) Solve Quadratic Equations solve quadratic equations by factoring, square root method, complete the square, End of Quarter 2 (34 days + 5 exam days = 39 days) 13 6 15 2 8 Chapter 4D (4.9) Chapter 5 (5.1-5.4, 5.7-5.9) Chapter 10 (10.1-10.5) Discriminant, solve quadratic equations by quadratic formula, pros and cons of each quadratic solving method with review Quadratic Functions Graph quadratic functions in standard, vertex, and intercept forms; write quadratic functions graph and solve quadratic inequalities, solve systems of linear and quadratic Polynomial Equations and Functions Simplify expressions with exponents, factor polynomials, solve polynomials by factoring, determine number of zeros, write polynomial functions given roots (reals only), analyze and sketch the graph of a polynomial function by hand and on GC (zeros by factoring only), write best-fitting models for polynomial functions Quarter 3 Test Counting Methods and Probability Apply counting principle and permutations, use combinations and binomial theorem, define and use probability, find probabilities of disjoint and overlapping events, find probabilities of independent and dependent events End of Quarter 3 (50 days + 2 OGT days = 52 days) 14 Chapter 6 (6.1-6.6) 11 Chapter 7 (7.1, 7.2, 7.6, 7.7) 10 Chapter 12 (12.1-12.5) Rational Exponents and Radical Functions Use rational exponents, properties of rational exponents, function operations and composition, inverse functions, graph square root and cube root functions, solve radical equations Exponential and Logarithmic Functions Graph exponential growth and decay functions, solve exponential equations (equating exponents), write and apply exponential and power functions Sequences and Series Define and use sequences and series, analyze arithmetic and geometric sequences and series, find sum of infinite geometric series, use recursive rules with sequences and functions End of Quarter 4 (35 days + 3 EOC days + 5 exam days = 43 days)