Common Core Edition Table of Contents


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1 Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 11 Variables and Expressions 12 Order of Operations and Evaluating Expressions 13 Real Numbers and the Number Line 14 Properties of Real Numbers 15 Adding and Subtracting Real Numbers Concept Byte: Accuracy and Precision 16 Multiplying and Dividing Real Numbers Concept Byte: Operations with Rational and Irrational Numbers 17 The Distributive Property 18 An Introduction to Equations Concept Byte: Using Tables to Solve Equations Review: Graphing in the Coordinate Plane 19 Patterns, Equations, and Graphs Chapter 2 Solving Equations Concept Byte: Modeling One Step Equations 21 Solving OneStep Equations 22 Solving TwoStep Equations 23 Solving MultiStep Equations Concept Byte: Modeling Equations With Variables on Both Sides 24 Solving Equations With Variables on Both Sides 25 Literal Equations and Formulas 26 Ratios, Rates, and Conversions Concept Byte: Units 27 Solving Proportions 28 Proportions and Similar Figures 29 Percents 210 Change Expressed as a Percent Chapter 3 Solving Inequalities 31 Inequalities and Their Graphs 32 Solving Inequalities Using Addition or Subtraction 33 Solving Inequalities Using Multiplication or Division Concept Byte: More Algebraic Properties Concept Byte: Modeling Multi Step Inequalities 34 Solving MultiStep Inequalities 35 Working With Sets 36 Compound Inequalities 37 Absolute Value Equations and Inequalities 38 Unions and Intersections of Sets Chapter 4 An Introduction to Functions 41 Using Graphs to Relate Two Quantities 42 Patterns and Linear Functions 43 Patterns and Nonlinear Functions 44 Graphing a Function Rule Concept Byte: Graphing Functions and Solving Equations 45 Writing a Function Rule 46 Formalizing Relations and Functions 47 Arithmetic Sequences Chapter 5 Linear Functions 51 Rate of Change and Slope 52 Direct Variation Concept Byte: Investigating y = mx + b 53 SlopeIntercept Form 54 PointSlope Form 55 Standard Form 56 Parallel and Perpendicular Lines Concept Byte: Inverse of Linear Functions 57 Scatter Plots and Trend Lines Concept Byte: Using Residuals 58 Graphing Absolute Value Functions Concept Byte: Characteristics of Absolute Value Graphs Please contact your Pearson Sales Representative for more information on the High School program
2 ALGEBRA 1 continued Chapter 6 Systems of Equations and Inequalities 61 Solving Systems by Graphing Concept Byte: Solving Systems Concept Byte: Solving Systems Using Algebra Tiles 62 Solving Systems Using Substitution 63 Solving Systems Using Elimination Concept Byte: Matrices and Solving Systems 64 Applications of Linear Systems 65 Linear Inequalities 66 Systems of Linear Inequalities Concept Byte: Graphing Linear Inequalities Chapter 7 Exponents and Exponential Functions Equations Concept Byte: Exponents 71 Integer Exponents Concept Byte: Exploring Rational Exponents and Radicals 72 Radicals and Rational Expressions 73 Exponential Functions 74 Exponential Growth and Decay 75 Geometric Sequence Chapter 8 Polynomials and Factoring 81 Adding and Subtracting Polynomials 82 Multiplying and Factoring Concept Byte: Using Models to Multiply Polynomials 83 Multiplying Binomials 84 Multiplying Special Cases Concept Byte: Using Models to Factor 85 Factoring x2 + bx + c 86 Factoring ax2 + bx + c 87 Factoring Special Cases 88 Factoring by Grouping Chapter 9 Quadratic Functions and Equations 91 Quadratic Graphs and Their Properties 92 Quadratic Functions 93 Solving Quadratic Equations Concept Byte: Finding Roots 94 Factoring to Solve Quadratic Equations 95 Completing the Square 96 The Quadratic Formula and the Discriminant 97 Linear, Quadratic, and Exponential Models Concept Byte: Performing Regressions 98 Systems of Linear and Quadratic Equations Chapter 10 Radical Expressions and Equations 101 The Pythagorean Theorem Concept Byte: Distance and Midpoint Formulas 102 Simplifying Radicals 103 Operations with Radical Expressions 104 Solving Radical Equations 105 Graphing Square Root Functions Concept Byte: Right Triangle Ratios 106 Trigonometric Ratios Chapter 11 Rational Expressions and Functions 111 Simplifying Rational Expressions 112 Multiplying and Dividing Rational Expressions 113 Dividing Polynomials 114 Adding and Subtracting Rational Expressions 115 Solving Rational Equations 116 Inverse Variation 117 Graphing Rational Functions Concept Byte: Graphing Rational Functions Chapter 12 Data analysis and Probability 121 Organizing Data Using Matrices 122 Frequency and Histograms 123 Measures of Central Tendency and Dispersion Concept Byte: Standard Deviation 124 BoxandWhisker Plots Concept Byte: Designing our Own Survey 125 Samples and Surveys Concept Byte: TwoWay Frequency Tables 126 Permutations and Combinations 127 Theoretical and Experimental Probability Concept Byte: Conducting Simulations 128 Probability of Compound Events Concept Byte: Conditional Probability End of Course Test
3 GEOMETRY Chapter 1 Tools of Geometry 11 Nets and Drawings for Visualizing Geometry 12 Points, Lines, and Planes 13 Measuring Segments 14 Measuring Angles 15 Exploring Angle Pairs Concept Byte: Compass Designs 16 Basic Constructions Concept Byte: Exploring Constructions 17 Midpoint and Distance in the Coordinate Plane Review: Classifying Polygons 18 Perimeter, Circumference, and Area Concept Byte: Comparing Perimeters and Areas Chapter 2 Reasoning and Proof 21 Patterns and Inductive Reasoning 22 Conditional Statements Concept Byte: Logic and Truth Tables 23 Biconditionals and Definitions 24 Deductive Reasoning 25 Reasoning in Algebra and Geometry 26 Proving Angles Congruent Chapter 3 Parallel and Perpendicular Lines 31 Lines and Angles Concept Byte: Parallel Lines and Related Angles 32 Properties of Parallel Lines 33 Proving Lines Parallel 34 Parallel and Perpendicular Lines Concept Byte: Perpendicular Lines and Planes 35 Parallel Lines and Triangles Concept Byte: Exploring Spherical Geometry 36 Constructing Parallel and Perpendicular Lines 37 Equations of Lines in the Coordinate Plane 38 Slopes of Parallel and Perpendicular Lines Chapter 4 Congruent Triangles 41 Congruent Figures Concept Byte: Building Congruent Triangles 42 Triangle Congruence by SSS and SAS 43 Triangle Congruence by ASA and AAS Concept Byte: Exploring AAA and SSA 44 Using Corresponding Parts of Congruent Triangles Concept Byte: PaperFolding Conjectures 45 Isosceles and Equilateral Triangles 46 Congruence in Right Triangles 47 Congruence in Overlapping Triangles Algebra Review: Systems of Linear Equations Chapter 5 Relationships Within Triangles Concept Byte: Investigating Midsegments 51 Midsegments of Triangles 52 Perpendicular and Angle Bisectors Concept Byte: Paper Folding Bisectors 53 Bisectors in Triangles Concept Byte: Special Segments in Triangles 54 Medians and Altitudes 55 Indirect Proof Extends Algebra Review: Solving Inequalities 56 Inequalities in One Triangle 57 Inequalities in Two Triangles Chapter 6 Polygons and Quadrilaterals Concept Byte: Exterior Angles of Polygons 61 The PolygonAngle Sum Theorems 62 Properties of Parallelograms 63 Proving That a Quadrilateral Is a Parallelogram 64 Properties of Rhombuses, Rectangles, and Squares 65 Conditions for Rhombuses, Rectangles, and Squares 66 Trapezoids and Kites Algebra Review: Simplifying Radicals 67 Polygons in the Coordinate Plane 68 Applying Coordinate Geometry Concept Byte: Quadrilaterals in Quadrilaterals 69 Proofs Using Coordinate Geometry
4 GEOMETRY continued Chapter 7 Similarity 71 Ratios and Proportions Algebra Review: Solving Quadratic Equations 72 Similar Polygons Concept Bytes: Fractals 73 Proving Triangles Similar 74 Similarity in Right Triangles Concept Byte: The Golden Ratio Extends Concept Byte: Exploring Proportions in Triangles 75 Proportions in Triangles Chapter 8 Right Triangles and Trigonometry Concept Byte: The Pythagorean Theorem 81 The Pythagorean Theorem and Its Converse 82 Special Right Triangles Concept Byte: Exploring Trigonometric Ratios 83 Trigonometry Concept Byte: Measuring From 84 Angles of Elevation and Depression 85 Laws of Sines and Cosines Chapter 9 Transformations Concept Byte: Tracing Paper Transformations 91 Translations Concept Byte: Paper Folding and Reflections 92 Reflections 93 Rotations Concept Byte: Symmetry 94 Compositions of 95 Triangle Congruence 96 Dilations 97 Similarity Chapter 10 Area Review: Developing Formulas for Area 101 Areas of Parallelograms and Triangles 102 Areas of Trapezoids, Rhombuses, and Kites 103 Areas of Regular Polygons 104 Perimeters and Areas of Similar Figures 105 Trigonometry and Area 106 Circles and Arcs Concept Byte: Circle Graphs Applies Concept Byte: Exploring the Area of a Circle 107 Areas of Circles and Sectors Concept Byte: Exploring Area and Circumference 108 Geometric Probability Cumulative Test Chapter 11 Surface Area and Volume 111 Space Figures and Cross Sections Concept Byte: Perspective Drawing Concept Byte: Literal Equations 112 Surface Areas of Prisms and Cylinders 113 Surface Areas of Pyramids and Cones 114 Volumes of Prisms and Cylinders Concept Byte: Finding Volume 115 Volumes of Pyramids and Cones 116 Surface Area and Volume of Spheres Concept Byte: Exploring Similar Solids 117 Areas and Volumes of Similar Solids Chapter 12 Circles 121 Tangent Lines Concept Byte: Paper Folding With Circles 122 Chords and Arcs 123 Inscribed Angles Concept Byte: Exploring Chords and Secants 124 Angle Measures and Segment lengths 125 Circles in the Coordinate Plane Concept Byte: Equation of a Parabola 126 Locus: A Set of Points Chapter 13: Probability 131 Theoretical and Experimental Probability 132 Probability Distribution and Frequency Tables 133 Permutations and Combinations 134 Compound Probability and Probability of Multiple Events 135 Contingency Tables 136 Conditional Probability 137 Modeling Randomness Concept Byte: Probability and Decision Making End of Course Test
5 ALGEBRA 2 Chapter 1 Expressions, Equations, and Inequalities 11 Patterns and Expressions 12 Properties of Real Numbers 13 Algebraic Expressions 14 Solving Equations 15 Solving Inequalities 16 Absolute Value Equations and Inequalities Chapter 2 Functions, Equations, and Graphs 21 Relations and Functions 22 Direct Variation 23 Linear Functions and Slope Intercept Form 24 More About Linear Equations Concept Byte: Piecewise Functions 25 Using Linear Models 26 Families of Functions 27 Absolute Value Functions and Graphs 28 TwoVariable Inequalities Chapter 3 Linear Systems 31 Solving Systems Using Tables and Graphs 32 Solving Systems Algebraically 33 Systems of Inequalities 34 Linear Programming Concept Byte: Linear Programming Concept Byte: Graphs in Three Dimensions 35 Systems With Three Variables 36 Solving Systems Using Matrices Chapter 4 Quadratic Functions and Equations 41 Quadratic Functions and Transformations 42 Standard Form of a Quadratic Function 43 Modeling With Quadratic Functions Concept Byte: Identifying Quadratic Data 44 Factoring Quadratic Expressions Algebra Review: Square Roots and Radicals 45 Quadratic Equations Concept Byte: Writing Equations From Roots 46 Completing the Square 47 The Quadratic Formula 48 Complex Numbers Concept Byte: Quadratic Inequalities 49 Quadratic Systems Concept Byte: Powers of Complex Numbers Chapter 5 Polynomials and Polynomial Functions 51 Polynomial 52 Polynomials, Linear Factors, and Zeros 53 Solving Polynomial Equations 54 Dividing 55 Theorems About Roots of Polynomial Equations Concept Byte: Polynomial Identities 56 The Fundamental Theorem of Algebra Concept Byte: Graphs of Polynomials 57 The Binomial Theorem 58 Polynomial Models in the Real World 59 Transforming Polynomial Functions Chapter 6 Radical Functions and Rational Exponents Algebra Review: Properties of Exponents 61 Roots and Radical Expressions 62 Multiplying and Dividing Radical Expressions 63 Binomial Radical Expressions 64 Rational Exponents 65 Solving Square Root and Other Radical Equations 66 Function Operations 67 Inverse Relations and Functions Concept Byte: Graphing Inverses 68 Graphing Radical Functions Chapter 7 Exponential and Logarithmic Functions 71 Exploring Exponential Models 72 Properties of Exponential Functions 73 Logarithmic Functions as Inverses Concept Byte: Fitting Curves to Data 74 Properties of Logarithms 75 Exponential and Logarithmic Equations Concept Byte: Using Logarithms for Exponential Models 76 Natural Logarithms Concept Byte: Exponential and Logarithmic Inequalities
6 ALGEBRA 2 continued Chapter 8 Rational Functions 81 Inverse Variation Concept Byte: Graphing Rational Functions 82 The Reciprocal Function Family 83 Rational Functions and Their Graphs Concept Byte: Oblique Asymptotes 84 Rational Expressions 85 Adding and Subtracting Rational Expressions 86 Solving Rational Equations Concept Byte: Systems with Rational Equations Concept Byte: Rational Inequalities Chapter 9 Sequences and Series 91 Mathematical Patterns 92 Arithmetic Sequences Concept Byte: The Fibonacci Sequence 93 Geometric Sequences 94 Arithmetic Series Concept Byte: Geometry and Infinite Series 95 Geometric Series Chapter 10 Quadratic Relations and Conic Sections 101 Exploring Conic Sections Concept Byte: Graphing Conic Section 102 Parabolas 103 Circles 104 Ellipses 105 Hyperbolas 106 Translating Conic Sections Solving Quadratic Chapter 11 Probability and Statistics 111 Permutations and Combinations 112 Probability 113 Probability Multiple Events Concept Byte: Probability Distributions 114 Conditional Probability 115 Probability Models 116 Analyzing Data 117 Standard Deviation 118 Samples and Surveys Concept Byte: Population Mean 119 Binomial Distributions Concept Byte: Approximating a Binomial Distribution Normal Distributions Concept Byte: Randomized Experiments Chapter 12 Matrices 121 Adding and Subtracting Concept Byte: Working With Matrices 122 Matrix Concept Byte: Networks 123 Determinants and Inverses 124 Inverse Matrices and Systems 125 Geometric Transformations 126 Vectors Chapter 13 Periodic Functions and Trigonometry 131 Exploring Periodic Data Geometry Review: Special Right Triangles 132 Angles and the Unit Circle Activity Lab: Measuring Radians 133 Radian Measure 134 The Sine Function Concept Byte: Graphing Trigonometric Functions 135 The Cosine Function 136 The Tangent Function 137 Translating Sine and Cosine Functions 138 Reciprocal Trigonometric Functions Chapter 14 Periodic Functions and Trigonometry 141 Trigonometric Identities 142 Solving Trigonometric Equations Using Inverses 143 Right Triangles and Trigonometric Ratios 144 Area and the Law of Sines Concept Byte: The Ambiguous Case 145 The Law of Cosines 146 Angle Identities 147 DoubleAngle and HalfAngle Identities End of Course Test
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