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Algebra 2 Student Edition CCSS,9780078952654
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Algebra 2 Student Edition CCSS



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McGraw-Hill Education
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One Program, All Learners Flexibility - Print and digital resources for your classroom today and tomorrow - Appropriate for students who are approaching, on or beyond grade level Differentiation - Integrated differentiated instruction support that includes Response to Intervention (RtI) strategies - A complete assessment system that monitors student progress from diagnosis to mastery - More in-depth and rigorous mathematics, yet meets the needs of all students 21st Century Success - Preparation for student success beyond high school  in college or at work - Problems and activities that use handheld technology, including the TI-84 and the TI-Nspire - A wealth of digital resources such as eStudent Edition, eTeacher Edition, animations, tutorials, virtual manipulatives and assessments  right at your fingertips Includes print student edition

Table of Contents

Chapter 0 Preparing for Advanced Algebra

0-1 Representing Functions

0-2 FOIL

0-3 Factoring Polynomials

0-4 Counting Techniques

0-5 Adding Probabilities

0-6 Multiplying Probabilities

0-7 Congruent and Similar Figures

0-8 The Pythagorean Theorem

0-9 Measures of Center, Spread, and Position

Unit 1 Linear Relations and Functions

Chapter 1 Equations and Inequalities

1-1 Expressions and Formulas

1-2 Properties of Real Numbers

1-3 Solving Equations

1-4 Solving Absolute Value Equations

1-5 Solving Inequalities

Explore 1-6 Algebra Lab: Interval Notation

1-6 Solving Compound and Absolute Value Inequalities

Chapter 2 Linear Relations and Functions

2-1 Relations and Functions

Extend 2-1 Algebra Lab: Discrete and Continuous Functions

2-2 Linear Relations and Functions

Extend 2-2 Algebra Lab: Roots of Equations and Zeros of Functions

2-3 Rate of Change and Slope

2-4 Writing Linear Equations

Extend 2-4 Graphing Technology Lab: Direct Variation

2-5 Scatter Plots and Lines of Regression

Extend 2-5 Algebra Lab: Correlation and Causation

2-6 Special Functions

Explore 2-7 graphing Calculator Lab: Families of Lines

2-7 Parent Functions and Transformations

2-8 Graphing Linear and Absolute Value Inequalities

Chapter 3 Systems of Equations and Inequalities

Explore 3-1 Graphing Technology Lab: Intersections of Graphs

3-1 Solving Systems of Equations

3-2 Solving Systems of Inequalities by Graphing

Extend 3-2 Graphing Technology Lab: Solving Systems of Linear Inequalities

3-3 Optimization with Linear Programming

3-4 Systems of Equations in Three Variables

Explore 3-5 Spreadsheet Lab: Organizing Data with Matrices

3-5 Operations with Matrices

3-6 Multiplying Matrices

Extend 3-6 Graphing Technology Lab: Operational Properties of Matrices

3-7 Solving Systems of Equations Using Cramer’s Rule

3-8 Solving Systems of Equations Using Inverse Matrices

Extend 3-8 Graphing Technology Lab: Augmented Matrices

Unit 2 Quadratic, Polynomial, and Radical Functions and Relations

Chapter 4 Quadratic Functions and Relations

4-1 Graphing Quadratic Functions

Extend 4-1 Graphing Technology Lab: Modeling Real-World Data

4-2 Solving Quadratic Equations by Graphing

Extend 4-2 Graphing Technology Lab: Solving Quadratic Equations by Graphing

4-3 Solving Quadratic Equations by Factoring

4-4 Complex Numbers

Extend 4-4 Algebra Lab: The Complex Plane

4-5 Completing the Square

Extend 4-5 Graphing Technology Lab: Solving Quadratic Equations

4-6 The Quadratic Formula and the Discriminant

Explore 4-7 Graphing Technology Lab: Families of Parabolas

4-7 Transformations of Quadratic Graphs

Extend 4-7 Algebra Lab: Quadratics and Rate of Change

4-8 Quadratic Inequalities

Extend 4-8 Graphing Calculator Lab: Modeling Motion

Chapter 5 Polynomials and Polynomial Functions

5-1 Operations with Polynomials

Extend 5-1 Algebra Lab Dimensional Analysis

5-2 Dividing Polynomials

Extend 5-2 Graphing Technology Lab Dividing Polynomials

Explore 5-3 Algebra Lab: Power Functions

5-3 Polynomial Functions

5-4 Analyzing Graphs of Polynomial Functions

Extend 5-4 Graphing Technology Lab Modeling Data Using Polynomial Functions

Explore 5-5 Graphing Technology Lab Solving Polynomial Equations by Graphing

5-5 Solving Polynomial Equations

Extend 5-5 Graphing Technology Lab Polynomial Identities

5-6 The Remainder and Factor Theorems

5-7 Roots and Zeros

Extend 5-7 Graphing Technology Lab: Analyzing Polynomial Functions

5-8 Rational Zero Theorem

Chapter 6 Inverses and Radical Functions and Relations

6-1 Operations on Functions

6-2 Inverse Functions and Relations

Extend 6-2 Graphing Technology Lab: Inverse Functions and Relations

6-3 Square Root Functions and Inequalities

6-4 nth Roots

Extend 6-4 Graphing Technology Lab: Graphing nth Root Functions

6-5 Operations with Radical Expressions

6-6 Rational Exponents

6-7 Solving Radical Equations and Inequalities

Extend 6-7 Graphing Technology Lab: Solving Radical Equations and Inequalities

Unit 3 Advance Functions and Relations

Chapter 7 Exponential and logarithmic Functions and Relations

7-1 Graphing Exponential Functions

Explore 7-2 Graphing Technology Lab: Solving Exponential Equations and Inequalities

7-2 Solving Exponential Equations and inequalities

7-3 Logarithms and Logarithmic Functions

Extend 7-3 Graphing Technology: Choosing the Best Model

7-4 Solving logarithmic Equations and Inequalities

7-5 Properties of Logarithms

7-6 Common Logarithms

Extend 7-6 Graphing Technology Lab: Solving Logarithmic Equations and Inequalities

7-7 Base e and Natural Logarithms

Explore 7-8 Spreadsheet Lab: Compound Interest

7-8 Using Exponential and Logarithmic Functions

Extend 7-8 Graphing Technology Lab: Cooling

Chapter 8 Rational Functions and Relations

8-1 Multiplying and Dividing Rational Expressions

8-2 Adding and Subtracting Rational Expressions

8-3 Graphing Reciprocal Functions

8-4 Graphing Rational Functions

Extend 8-4 Graphing Technology Lab: Graphing Rational Functions

8-5 Variation Functions

8-6 Solving Rational Equations and Inequalities

Extend 8-6 Graphing Technology Lab: Solving Rational Equations and Inequalities

Chapter 9 Conic Sections

9-1 Midpoint and Distance Formulas

9-2 Parabolas

Explore 9-3 Graphing Technology Lab: Equations of Circles

9-3 Circles

Explore 9-4 Algebra Lab: Investigating Ellipses

9-4 Ellipses

9-5 Hyperbolas

9-6 Identifying Conic Sections

Extend 9-6 Graphing Calculator Lab: Analyzing Quadratic Relations

Explore 9-7 Graphing Technology Lab: Linear-Nonlinear Systems

9-7 Solving linear-Nonlinear Systems

Unit 4 Discrete Mathematics

Chapter 10 Sequences and Series

10-1 Sequences as Functions

10-2 Arithmetic Sequences and Series

10-3 Geometric Sequences and Series

Explore 10-4 Algebra Lab: Area Under a Curve

10-4 Infinite Geometric Series

Extend 10-4 Graphing Technology Lab: Limits

10-5 Recursion and Iteration

Extend 10-5 Spreadsheet Lab: Amortizing Loans

10-6 The Binomial Theorem

Extend 10-6 Algebra Lab: Combinations and Pascal’s Triangle

10-7 Proof by Mathematical Induction

Chapter 11 Statistics and Probability

11-1 Designing a Study

Extend 11-1 Graphing Calculator Lab: Simulations and Margin of Error

11-2 Distributions of Data

11-3 Probability Distributions

11-4 The Binomial Distribution

11-5 The Normal Distribution

Extend 11-5 Spreadsheet lab: Normal Approximations of Binomial Distributions

11-6 Confidence Intervals and Hypothesis Testing

Unit 5 Trigonometry

Chapter 12 Trigonometric Functions

Explore 12-1 Spreadsheet Lab: Investigating Special Right Triangles

12-1 Trigonometric Functions in Right Triangles

12-2 Angles and Angle Measure

Extend 12-2 Geometry Lab: Areas of Parallelograms

12-3 Trigonometric Functions of General Angles

12-4 Law of Sines

Extend 12-4 Geometry Lab: Regular Polygons

12-5 Law of Cosines

12-6 Circular and Periodic Functions

12-7 Graphing Trigonometric Functions

Explore 12-8 Graphing Technology Lab: Trigonometric Graphs

12-8 Translations of Trigonometric Graphs

12-9 Inverse Trigonometric Functions

Chapter 13 Trigonometric Identities and Equations

13-1 Trigonometric Identities

13-2 Verifying Trigonometric Identities

13-3 Sum and Difference of Angles Identities

13-4 Double-Angle and Half-Angle Identities

Explore 13-5 Graphing Technology Lab: Solving Trigonometric Equations

13-5 Solving Trigonometric Equations

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