Pacing for a Common Core Curriculum with Prentice Hall Algebra

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1 Pacing for a Common Core Curriculum with Prentice Hall Algebra This leveled pacing chart can help you transition to a curriculum based on the Common Core State for Mathematics. The chart indicates the Standard(s) for Mathematical that each lesson addresses and proposes pacing for each chapter. Included in the chart are CC Lessons that offer in-depth coverage of certain standards. These lessons along with the lessons in the Student Edition provide complete coverage of all of the Common Core State that make up s. 1 ( ) Algebra 2 Common Core ( ) Reviews content from previous years () for enrichment Common Core State Chapter 1 Tools of Algebra 1-1 Properties of Real Numbers Reviews N.RN.3 1-1B Investigation: Exploring Pi 1-2 Algebraic Expressions A.SSE.1.a 1-3 Solving Equations A.CED.1, A.CED.4 Supporting 1-3B Technology: Spreadsheets 1-4 Solving Inequalities A.CED Absolute Value Equations and Inequalities A.SSE.1.b, A.CED.1 Supporting 1-6 Probability Chapter 2 Functions, Equations, and Graphs 2-1 Relations and Functions Reviews F.IF.1, F.IF Linear Equations A.CED.2 2-2E Extension: Piecewise Functions F.IF.7.b 2-3 Direct Variation A.CED Using Linear s A.CED.2, 1 For more information about the, go to parcconline.org 7

2 2-4B Technology: Finding a Line of Best Fit Reviews, S.ID Absolute Value Functions and Graphs F.IF.7.b 2-6 Vertical and Horizontal Translations F.BF Two-Variable Inequalities A.CED.2, F.IF.7.b Chapter 3 Linear Systems 3-1 Graphing Systems of Equations A.CED.3 3-2E Extension: Parametric Equations 3-2 Solving Systems Algebraically A.CED.2, A.CED Systems of Inequalities A.CED Linear Programming A.CED.3 3-4B Activity Lab: Linear Programming A.CED Graphs in Three Dimensions 3-6 Systems With Three Variables Extends A.REI.6 Chapter 4 Matrices 4-1 Organizing Data Into Matrices 4-2 Adding and Subtracting Matrices N.VM.8, N.VM B Tchnology: Working With Matrices N.VM Matrix Multiplication N.VM.6, N.VM.7, N.VM.8, N.VM Geometric Transformations with Matrices N.VM.6, N.VM.7, N.VM.8, G.CO.2, G.CO x 2 Matrices, Determinants, and Inverses x 3 Matrices, Determinants, and Inverses N.VM.10, N.VM.12 N.VM.10, N.VM E Extension: Networks 4-7 Inverse Matrices and Systems N.VM.8 8

3 4-8 Augmented Matrices and Systems N.VM.6, N.VM.7, N.VM.8, G.CO.2, G.CO.5 Chapter 5 Quadratic Functions and Equations 5-1 ing Data With Quadratic Functions F.IF.4 Major 5-1B Technology: ing Using Residuals Extends S.ID.6.b 5-2 Properties of Parabolas F.IF.4, F.BF.3 Major 5-3 Translating Parabolas F.IF.4, F.IF.8, F.BF.3 Major 5-4 Factoring Quadratic Expressions A.SSE.2 Major 5-5 Quadratic Equations A.CED.1 Supporting 5-5E Extension: Quadratic Inequalities 5-6 Complex Numbers N.CN.1, N.CN.2, N.CN.7 5-7A Investigation: Completing the Square 5-7 Completing the Square Reviews A.REI.4.b 5-8 The Quadratic Formula Reviews A.REI.4.b Chapter 6 Polynomials and Polynomial Functions 6-1 Polynomial Functions Prepares for F.IF.7.c 6-1E Extension: End Behavior F.IF.4 Major 6-2 Polynomials and Linear Factors A.SSE.1.a, A.APR.1, A.APR.3, F.IF.5, F.IF.7.c Supporting CC-1 Closure and Polynomials A.APR Dividing Polynomials A.APR.1, A.APR.2 Major 6-4 Solving Polynomial Equations A.SSE.2, A.REI.11 Major 6-5 Theorems About Roots of Polynomial Equations N.CN.7, N.CN The Fundamental Theorem of Algebra N.CN.7, N.CN.8, N.CN.9, A.APR.3 Major CC-2 Quadratic Polynomials and the Fundamental Theorem of Algebra N.CN.9, A.APR.4 9

4 CC-3 Graphing Polynomials Using Zeros A.APR.3, F.IF.7.c Major 6-7 Permutations and Combinations 6-8A Investigation: Pascal s Triangle 6-8 The Binomial Theorem A.APR.5 Chapter 7 Radical Functions and Rational Exponents 7-1 Roots and Radical Expressions A.SSE.2 Major 7-2 Multiplying and Dividing Radical Expressions A.SSE.2 Major 7-3 Binomial Radical Expressions A.SSE.2 Major 7-4 Rational Exponents Reviews N.RN.1 and N.RN Solving Radical Equations A.REI.2 Major 7-6 Function Operations F.BF.1.b Major 7-7 Inverse Relations and Functions F.IF.5, F.BF.4.a 7-7B Technology: Graphing Inverses F.BF.4.a 7-8 Graphing Radical Functions F.IF.5, F.IF.7.e Supporting CC-4 Family of Radical Functions: Different Forms of Radical Functions F.IF.9, F.BF.3 Supporting Chapter 8 Exponential and Logarithmic Functions 8-1 Exploring Exponential s A.SSE.1.b, A.CED.2, F.IF.7.e Supporting 8-1B Technology: Fitting Exponential Curves to Data S.ID.6.a 8-2 Properties of Exponential Functions A.SSE.1.b, A.CED.2, F.IF.7.e 8-3 Logarithmic Functions as Inverses A.SSE.1.b, A.CED.2, F.IF.7.e, F.BF.4.a Supporting 8-4 Properties of Logarithms Prepares for F.LE.4 8-4B Technology: Verifying Properties of Logarithms Prepares for F.LE Exponential and Logarithmic Equations A.REI.11, F.LE.4 Major 10

5 8-5B Technology: Linear and Exponential s 8-6 Natural Logarithms F.LE.4 Supporting Chapter 9 Rational Functions 9-1 Inverse Variation A.CED.2 9-2A Technology: Graphing Rational Functions F.IF.7.c, F.IF.8.b Supporting 9-2 Graphing Inverse Variations F.IF.7.c, F.IF.8.b Supporting 9-3 Rational Functions and Their Graphs F.IF.7.c, F.IF.8.b Supporting CC-5 Analyzing Function Intervals F.IF.4, F.IF.6 Major CC-6 Family of Rational Functions F.IF.9, F.BF.3 Supporting 9-4 Rational Expressions A.SSE.2 Major CC-7 Polynomial and Rational Expressions A.SSE.2 Major 9-5 Adding and Subtracting Rational Expressions A.APR.6, A.APR.7 Supporting CC-8 Closure and Rational Expressions A.APR.7 9-6A Investigation: Extraneous Solutions A.APR Solving Rational Equations A.APR.7, A.REI.2 Major CC-9 Solving One-Variable Equations Using Graphs A.REI.11 Major 9-7 Probability of Multiple Events S.CP.2 Chapter 10 Quadratic Relations and Conic Sections 10-1A Investigation: Conic Sections Prepares for G.GPE.1, G.GPE.2, G.GPE Exploring Conic Sections Prepares for G.GPE.1, G.GPE.2, G.GPE B Technology: Graphing Conic Sections Prepares for G.GPE.1, G.GPE.2, G.GPE Parabolas G.GPE.2 11

6 10-3 Circles G.GPE B Extension: Using Parametric Form 10-4 Ellipses G.GPE Hyperbolas G.GPE Translating Conic Sections G.GPE.1, G.GPE E Extension: Solving Quadratic Systems Extends A.REI.11, G.GPE.2 Chapter 11 Sequences and Series 11-1 Mathematical Patterns Prepares for A.SSE Arithmetic Sequences Reviews F.IF B Extension: The Fibonacci Sequence Reviews F.IF Geometric Sequences Prepares for A.SSE Arithmetic Series Extends F.IF A Investigation: Geometry and Infinite Series A.SSE.4 Major 11-5 Geometric Series A.SSE.4 Major 11-5B Extension: Mathematical Induction 11-6A Technology: Evaluating Series Extends A.SSE Area Under a Curve Extends A.SSE.4 Chapter 12 Probability and Statistics 12-1 Probability Distributions Prepares for S.ID Conditional Probability S.CP.3, S.CP.4, S.CP.5, S.CP.6 Additional 12-2B Extension: Comparing Conditional Probability S.CP.3, S.CP.4, S.CP.5, S.CP.6 CC-10 Probability s S.MD.6, S.MD Analyzing Data S.IC.6 Major 12-4 Standard Deviation S.ID.4, S.IC.6 Major 12-5 Working with Samples S.IC.1, S.IC.3 Major 12

7 12-6 Binomial Distributions Prepares for S.ID Normal Distributions S.ID B Technology: Area Under a Curve S.ID.4 CC-11 Uses of Normal Distribution S.ID.4 CC-12 Margin of Error S.IC.2, S.IC.4 Major CC-13 Drawing Conclusions from Samples S.IC.2, S.IC.5 Major Chapter 13 Periodic Functions and Trigonometry 13-1 Exploring Periodic Data F.IF.4 Major 13-2 Angles and the Unit Circle F.TF A Investigation: Measuring Radians Prepares for F.TF Radian Measure F.TF The Sine Function F.IF.4, F.IF.7.e, F.TF.2, F.TF B Technology: Graphing Trigonometric Functions Prepares for F.TF The Cosine Function F.IF.4, F.IF.7.e, F.TF.2, F.TF The Tangent Function F.IF.4, F.IF.7.e, F.TF.2, F.TE Translating Sine and Cosine Functions F.IF.7.e, F.TF Reciprocal Trigonometric Functions F.IF.7.e Supporting Chapter 14 Trigonometric Identities and Equations 14-1 Trigonometric Identities F.TF Solving Trigonometric Equations Using Inverses F.TF.6, F.TF B Extension: Lissajous Figures 14-3 Right Triangles and Trigonometric Ratios G.SRT.6, G.SRT Area and the Law of Sines G.SRT.9, G.SRT.10, G.SRT E Extension: The Ambiguous Case G.SRT.10, G.SRT.11 13

8 14-5 The Law of Cosines G.SRT.10, G.SRT Angle Identities F.TF Double-Angle and Half-Angle Identities F.TF.9 14

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