ALGEBRA 2 Pacing Guide 2009-2010 All class period numbers refer to non-block class sessions that are instructional time and include 2 class sessions for unit review and exam. Start Quarter 1 – August 18 Big Ideas Class Periods Tools of Algebra Quarter 1: 42 Total School Days 8 Functional Relationships 15 Linear Systems 12 Prentice Hall Resource Sections 1-1 Real # Properties 1-2 Algebraic Expressions 1-3 Solving Equations 1-4 Solving Inequalities 1-5 Absolute Value 2-1 Relations & Functions 2-2 Linear Equations 2-3 Direct Variation 2-4 Linear Models 2-5 Absolute Value Functions & Graphs 2-6 Families of Functions 2-7 Two-Variable Inequalities 3-1 Graphing Systems 3-2 Solving Systems 3-3 Inequality Systems 3-4 Linear Programming Days Per Section 1 1 1 1 2 1 4 1 2 3 College Board Standards 1.1.1, 1.1.3 2.4.3 Comments Section 1-6 Probability is moved to quarter 4 as part of a later unit. Do activity lab after 2-4 1.1.2 2.3.1 2.4.2, 2.4.3 2 1 3 2 4 Sections 3-5, 3-6 and the Matrices Unit are moved to 3.1.1, 3.1.2, 3.1.3 the end of the year and are an optional site decision. Additional School Days - 7 Quarter 2: 42 Total School Days Quadratic Functions 13 Quadratic Equations 11 Polynomial Functions 18 Start Quarter 2 – October 19 5-1 Quadratic Models 2 1.1.1, 1.1.2, 5-2 Parabola Properties 2 1.2.1, 1.2.2, 1.2.4 5-3 Transforming 3 Parabolas 1.1.1, 1.2.5 5-4 Factoring 4 1.2.2, 1.2.3, 5-5 Quadratic Equations 2 5-6 Complex Numbers 5-7 Completing the Square 5-8 Quadratic Formula 2 3 2 6-1 Polynomial Functions 6-2 Linear Factors 6-3 Dividing Polynomials 6-4 Polynomial Equations 6-5 Theorems 6-6 Fundamental Theorem Of Algebra 2 4 4 2 2 2 1.2.4, 1.2.5 1.3.1, 1.3.2, 1.3.3 1.1.3, 1.2.5, 1.3.3 1.2.1, 1.2.2, 1.2.3, 1.2.4, 1.2.5, 1.2.6, 1.3.3 1.1 1.1.3 1.1.3, 1.3.2, 1.3.3, 5.1.1 Additional School Days - 2 Sections 6-7 and 6-8 are moved to a unit in quarter 4. This may hit close to the end of the second quarter so Sections 6-5 and 6-6 may be optional at sites. ALGEBRA 2 Pacing Guide 2009-2010 Start Quarter 3 – January 5 Quarter 3: 47 Total School Days Big Ideas Class Periods Radical Functions 19 Function Operations 9 Exponential & Logarithmic Functions 15 Prentice Hall Resource Sections Days Per Section AlgRev Exponents 7-1 Radical Expressions 7-2 Radical Expressions: ×, ÷ 7-3 Binomial Radical Expressions 7-4 Rational Exponents 7-5 Solving Radical Equations 7-6 Function Operations 7-7 Inverse Relations 7-8 Graphing Radical Functions 8-1 Exponential Models 8-2 Exponential Functions 8-3 Logarithmic Functions 8-4 Properties of Logarithms 8-5 Exp. & Log. Equations 8-6 Natural Logarithms 3 2 3 2 4 3 2 2 3 2 2 3 2 2 2 College Board Standards Comments 2.3.5 2.1.1 2.3.5 1.1.1, 1.1.4 1.1.4 2.3.5 2.1.2, 2.1.5-7 2.1.3, 2.1.5-7 2.2.1, 2.2.3 2.2.2, 2.2.3 2.1.4-7, 2.2.3 2.1.6, 2.2.1-3 Additional School Days – 4 Start Quarter 4 – March 22 Sites should adjust this semester to meet site needs. The 3 Variable Systems & Matrices Unit would require less time spent on other units. The days for the 3 Variable Systems & Matrices Unit are not counted in the overall days for this quarter. 6-7 Permutations & Combinations This unit combines 2 1.1.1, 5.1.1 individual sections that 6-8 Binomial Theorem involve probability and 9-7 Multiple Events Probability 1 statistics. 12-1 Probability Distributions 1 4.1.1, 5.1.2 Probability & Section 12-4: z-scores are 12-2 Conditional Probability 1 5.1 Statistics optional or should only be 12-3 Analyzing Data 1 4.1.3 exposure. 12-4 Standard Deviation 2 Section 14-3 Right Triangle 12-5 Samples 1 4.2.1-4 Trig should be reviewed 12-6 Binomial Distribution 3 5.1.2, 5.2.1, 5.2.2 before ACT. 12-7 Normal Distribution 14-3 Right Triangle Trig 2 G3.2.4 The emphasis in this unit 9-1 Inverse Variation 1 2.3.1, 2.3.2 should be computation with 9-2 Reciprocal Function Families 2 Rational Functions 2.3.2, 2.3.4 rational functions. Graphing 9-3 Rational Functions & Graphs 2 by transformation is 9-4 Rational Expressions 3 exposure. 2.3.2, 2.3.3 9-5 Rational Expressions: +, 3 9-6 Solving Rational Equations 2 11-1 Patterns 1 Sequences & Series 2.3.1 11-2 Arithmetic Sequences 1 11-3 Geometric Sequences 1 11-4 Arithmetic Series 1 11-5 Geometric Series 2 3-5 Graphs in 3-dimensions (1) This unit is an optional 3-6 Three Variable Systems (1) 3.1.1-3 site decision as to the 3 Variable Systems 4-1 Organizing Data in Matrices 3.2.1 depth and breadth of (1) 4-2 Matrices: +, 3.2.1, 3.2.3 & Matrices content. The days are 4-3 Matrix Multiplication (2) 3.2.1, 3.3.1 not included in the 4-4 Geometric Transformations (1) 3.1.2, 3.1.3, total days for this 4-5 2x2 Determinants & Inverses (3) 3.2.1, 3.2.3, 4-6 3x3 Determinants & Inverses (2) quarter. 3.3.1-3 4-7 Matrices & Systems (2) Quarter 4: 47 Total School Days 14 15 8 (15) Additional School Days - 10 ALGEBRA 2 Pacing Guide 2009-2010