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Contents
Cover
1 Linear Functions
Maintaining Mathematical Proficiency
Mathematical Practices
1.1 Parent Functions and Transformations
1.2 Transformations of Linear and Absolute Value Functions
Study Skills: Taking Control of Your Class Time
1.1 - 1.2 Quiz
1.3 Modeling with Linear Functions
1.4 Solving Linear Systems
Performance Task: Secret of the Hanging Baskets
Chapter Review
Chapter Test
Cumulative Assessment
2 Quadratic Functions
Maintaining Mathematical Proficiency
Mathematical Practices
2.1 Transformations of Quadratic Functions
2.2 Characteristics of Quadratic Functions
Study Skills: Using the Features of Your Textbook to Prepare for Quizzes and Tests
2.1 - 2.2 Quiz
2.3 Focus of a Parabola
2.4 Modeling with Quadratic Equations
Performance Task: Accident Reconstruction
Chapter Review
Chapter Test
Cumulative Assessment
3 Quadratic Equations and Complex Numbers
Maintaining Mathematical Proficiency
Mathematical Practices
3.1 Solving Quadratic Equations
3.2 Complex Numbers
3.3 Completing the Square
Study Skills: Creating a Positive Study Environment
3.1 - 3.3 Quiz
3.4 Using the Quadratic Formula
3.5 Solving Nonlinear Systems
3.6 Quadratic Inequalities
Performance Task: Algebra in Genetics: The Hardy-Weinberg Law
Chapter Review
Chapter Test
Cumulative Assessment
4 Polynomial Functions
Maintaining Mathematical Proficiency
Mathematical Practices
4.1 Graphing Polynomial Functions
4.2 Adding, Subtracting, and Multiplying Polynomials
4.3 Dividing Polynomials
4.4 Factoring Polynomials
Study Skills: Keeping Your Mind Focused
4.1 - 4.4 Quiz
4.5 Solving Polynomial Equations
4.6 The Fundamental Theorem of Algebra
4.7 Transformations of Polynomial Functions
4.8 Analyzing Graphs of Polynomial Functions
4.9 Modeling with Polynomial Functions
Performance Task: For the Birds—Wildlife Management
Chapter Review
Chapter Test
Cumulative Assessment
5 Rational Exponents and Radical Functions
Maintaining Mathematical Profi ciency
Mathematical Practices
5.1 nth Roots and Rational Exponents
5.2 Properties of Rational Exponents and Radicals
5.3 Graphing Radical Functions
Study Skills: Analyzing Your Errors
5.1 - 5.3 Quiz
5.4 Solving Radical Equations and Inequalities
5.5 Performing Function Operations
5.6 Inverse of a Function
Performance Task: Turning the Tables
Chapter Review
Chapter Test
Cumulative Assessment
6 Exponential and Logarithmic Functions
Maintaining Mathematical Profi ciency
Mathematical Practices
6.1 Exponential Growth and Decay Functions
6.2 The Natural Base e
6.3 Logarithms and Logarithmic Functions
6.4 Transformations of Exponential and Logarithmic Functions
Study Skills: Forming a Weekly Study Group
6.1 - 6.4 Quiz
6.5 Properties of Logarithms
6.6 Solving Exponential and Logarithmic Equations
6.7 Modeling with Exponential and Logarithmic Functions
Performance Task: Measuring Natural Disasters
Chapter Review
Chapter Test
Cumulative Assessment
7 Rational Functions
Maintaining Mathematical Proficiency
Mathematical Practices
7.1 Inverse Variation
7.2 Graphing Rational Functions
Study Skills: Analyzing Your Errors
7.1 - 7.2 Quiz
7.3 Multiplying and Dividing Rational Expressions
7.4 Adding and Subtracting Rational Expressions
7.5 Solving Rational Equations
Performance Task: Circuit Design
Chapter Review
Chapter Test
Cumulative Assessment
8 Sequences and Series
Maintaining Mathematical Proficiency
Mathematical Practices
8.1 Defining and Using Sequences and Series
8.2 Analyzing Arithmetic Sequences and Series
8.3 Analyzing Geometric Sequences and Series
Study Skills: Keeping Your Mind Focused
8.1 - 8.3 Quiz
8.4 Finding Sums of Infi nite Geometric Series
8.5 Using Recursive Rules with Sequences
Performance Task: Integrated Circuits and Moore’s Law
Chapter Review
Chapter Test
Cumulative Assessment
9 Trigonometric Ratios and Functions
Maintaining Mathematical Proficiency
Mathematical Practices
9.1 Right Triangle Trigonometry
9.2 Angles and Radian Measure
9.3 Trigonometric Functions of Any Angle
9.4 Graphing Sine and Cosine Functions
Study Skills: Form a Final Exam Study Group
9.1 - 9.4 Quiz
9.5 Graphing Other Trigonometric Functions
9.6 Modeling with Trigonometric Functions
9.7 Using Trigonometric Identities
9.8 Using Sum and Difference Formulas
Performance Task: Lightening the Load
Chapter Review
Chapter Test
Cumulative Assessment
10 Probability
Maintaining Mathematical Proficiency
Mathematical Practices
10.1 Sample Spaces and Probability
10.2 Independent and Dependent Events
10.3 Two-Way Tables and Probability
Study Skills: Making a Mental Cheat Sheet
10.1 - 10.3 Quiz
10.4 Probability of Disjoint and Overlapping Events
10.5 Permutations and Combinations
10.6 Binomial Distributions
Performance Task: A New Dartboard
Chapter Review
Chapter Test
Cumulative Assessment
11 Data Analysis and Statistics
Maintaining Mathematical Proficiency
Mathematical Practices
11.1 Using Normal Distributions
11.2 Populations, Samples, and Hypotheses
11.3 Collecting Data
Study Skills: Reworking Your Notes
11.1 - 11.3 Quiz
11.4 Experimental Design
11.5 Making Inferences from Sample Surveys
11.6 Making Inferences from Experiments
Performance Task: Curving the Test
Chapter Review
Chapter Test
Cumulative Assessment
Selected Answer
English-Spanish Glossary
Index
Reference