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Holt ALGEBRA 2 / TRIGONOMETRY Pacing Guide FIRST SEMESTER; CHAPTERS 1 – 6, 8, 9, 11 Quarter 1: 48 days Quarter 2: 42 days Total teaching/admin. days available: 90 Total days scheduled: 80 (leaves 6 days for review/finals and 4 admin/float/enrichment/catch-up days) SECTION TOPICS UNIT 1 CH. 1 FOUNDATIONS FOR FUNCTIONS CSS PACING 6 days This should all be review. CH. 2 LINEAR FUNCTIONS 2-1 Solving Linear Equations and Inequalities 2-3 2-4 Graphing Linear Functions Writing Linear Functions 1-5 Properties of Exponents 1-1 1-6 1-7 Sets of numbers Relations and Functions Functions Notation 2-9 Absolute Value Functions 1 Quest 1 3-1 3-2 3-3 (3-4) (3-5) 3-6 UNIT 2 CH. 3 LINEAR SYSTEMS Using Graphs and Tables to Solve Linear Systems Using Algebraic Methods to Solve Linear Systems Solving Systems of Linear Inequalities (Linear Programming) (Linear Equations in Three Dimensions) Solving Linear Systems in Three Variables 1 Use worksheets with challenging problems on the sections covered but emphasize to students that they are responsible for everything in the 2 chapters. 1 1 1 11 1 1 1 1 CH. 4 MATRICES 4-1 4-2 4-3 (4-4) 4-5 (4-6) 5-1 5-2 5-3 5-4 5-5 5-6 (5-7) 5-8 5-9 Matrices and Data Multiplying Matrices Using Matrices to Transform Geometric Figures (Determinants and Cramer's Rule) Matrix Inverses and Solving Systems (Row Operations and Augmented Matrices) 1 2 1 Review and Test 2 CH. 5 QUADRATIC FUNCTIONS 14 2 1 2 1 1 1 1 1 1 Using Transformations to Graph Quadratic Functions Properties of Quadratic Functions in Standard Form Solving Quadr. Equations by Graphing and Factoring Completing the Square Complex Numbers and Roots The Quadratic Formula (Solving Quadratic Inequalities) Curve-Fitting with Quadratic Models Operations with Complex Numbers NOTES 1 §4-3 can be a good application lesson but not necessary to assess. In §4-5, only teach solving systems of equations using matrix equation and inverses on TI. In §5-1, the key concept is understanding vertex form of quadr. eqn.. Complex numbers are new concept. In §5-8, the goal is for students to write a function from 3 points on parabola. Extra review time Holt ALGEBRA 2 / TRIGONOMETRY Pacing Guide Review and Test 3 CH. 6 POLYNOMIAL FUNCTIONS Polynomials Multiplying Polynomials Dividing Polynomials Factoring Polynomials Finding Real Roots of Polynomial Equations Fundamental Theorem of Algebra Investigating Graphs of Polynomial Functions (Transforming Polynomial Functions) (Curve-Fitting with Polynomial Models) 13 1 2 2 2 1 1 2 Review and Test 2 8-1 8-2 8-3 8-4 8-5 CH. 8 RATIONAL AND RADICAL FUNCTIONS Variation Functions Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Rational Functions Solving Rational Equations and Inequalities 16 1 1 1 3 2 8-6 8-7 8-8 Review and Test Radical Expressions and Rational Exponents Radical Functions Solving Radical Equations and Inequalities 2 2 1 1 Review and Quest 2 10 (9-1) 9-2 (9-3) 9-4 CH. 9 PROPERTIES AND ATTRIBUTES OF FUNCTIONS (Multiple Representations of Functions) Piecewise Functions (Transforming Functions) Operations with Functions 7-2 9-5 Inverses of Relations and Functions Functions and Their Inverses 2 9-6 Modeling Real-World Data 2 Review and Test 2 CH. 11 PROBABILITY AND STATISTICS Permutations and Combinations Theoretical and Experimental Probability Independent and Dependent Events Compound Events Measures of Central Tendency and Variation (Binomial Distributions) 10 2 1 Review and Test 3 6-1 6-2 6-3 6-4 6-5 6-6 6-7 (6-8) (6-9) 11-1 11-2 11-3 11-4 11-5 (11-6) 2 recommended (WS) §6-2 includes binomial expansions. Discuss quadratic forms solutions in §6-4. Supplement §6-7 with worksheet on graphs. §9-5 Do lots of examples; emphasize domain and range 2 3 1 § 9-6 ?? . Holt ALGEBRA 2 / TRIGONOMETRY Pacing Guide SECOND SEMESTER; CHAPTERS 7, 10, 12 - 14 Quarter 3: 42 days available Quarter 4: 48 days available (minus STAR) Total teaching/admin. days available: 90 (minus STAR and possible furlough days) Total days scheduled: 67 (leaves 12 float/enrichment/catch-up days + 6 days review/finals + 5 STAR days) CH. 7 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 12 7-1 Exponential Functions, Growth and Decay 2 7-3 7-4 Logarithmic Functions Properties of Logarithms 3 7-5 7-6 (7-7) (7-8) Exponential and Logarithmic Equations & Inequalities The Natural Base, e (Transforming Exponential and Logarithmic Functions) (Curve-Fitting w/ Exponential & Logarithmic Models) Review and Test (10-1) 10-2 10-3 10-4 10-5 10-6 10-7 12-1 12-2 12-3 12-4 12-5 2 2 3 CH. 10 CONIC SECTIONS 15 (Introduction to Conic Sections) Circles Ellipses Hyperbolas Parabolas Identifying Conic Sections Solving Nonlinear Systems 1 3 3 2 2 1 Review and Test 3 CH. 12 SEQUENCES AND SERIES Introduction to Sequences Series and Summation Notation Arithmetic Sequences and Series Geometric Sequences and Series Mathematical Induction and Infinite Geometric Series 11 1 1 2 2 2 Review and Test 3 The text is very weak in §7-1. Take time to go over different growth & decay models. Emphasize basic log graph, domain & range. Instead of 7-8, just teach writing an exp. fn. from 2 points. WORKSHEETS! Holt ALGEBRA 2 / TRIGONOMETRY Pacing Guide 13-2 13-3 14-1 14-2 13-1 13-4 13-5 13-6 14-3 14-4 14-5 14-6 TRIGONOMETRIC FUNCTIONS A Angles of Rotation The Unit Circle Graphs of Sine and Cosine Graphs of Other Trigonometric Functions 10 1 3 2 2 Review and Test (no calculators) 3 TRIGONOMETRIC FUNCTIONS B Right-Angle Trigonometry Inverses of Trigonometric Functions The Law of Sines The Law of Cosines Trig Applications 9 1 Review and Test 2 TRIGONOMETRIC FUNCTIONS C Fundamental Trigonometric Identities Sum and Difference Identities Double-Angle and Half-Angle Identities Solving Trigonometric Equations 10 3 1 1 2 Review and Test 3 2 2 2 Time permitting, add a "trig pack"-type application worksheet that can take 3 days.