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Tables of Contents for Algebra 2, Grades 9-12
Chapter/Section Title
Page #
Page Count
Equations and Inequalities
Chapter Study Guide
2
1
Real Numbers and Number Operations
3
8
Algebraic Expressions and Models
11
8
Quiz 1
17
1
Calculator Activity: Evaluating Expressions
18
1
Solving Linear Equations
19
7
Graphing Calculator: Using Tables to Solve Equations
25
1
Rewriting Equations and Formulas
26
7
Problem Solving Using Algebraic Models: Exploring Data and Statistics
33
8
Quiz 2
40
1
Solving Linear Inequalities
41
9
Graphing Calculator: Solving an Inequality
48
2
Solving Absolute Value Equations and Inequalities
50
17
Concept Activity: Absolute Value Equations and Inequalities
49
7
Quiz 3
56
10
Linear Equations and Functions
Chapter Study Guide
66
1
Functions and Their Graphs
67
8
Slope and Rate of Change
75
7
Quick Graphs of Linear Equations
82
9
Quiz 1
89
1
Graphing Calculator: Graphing Equations
90
1
Writing Equations of Lines
91
9
Correlation and Best-Fitting Lines: Exploring Data and Statistics
100
8
Concept Activity: Fitting a Line to a Set of Data
99
7
Quiz 2
106
1
Graphing Calculator: Using Linear Regression
107
1
Linear Inequalities in Two Variables
108
6
Piecewise Functions
114
8
Graphing Calculator: Graphing Piecewise Functions
121
1
Absolute Value Functions
122
17
Quiz 3
128
10
Systems of Linear Equations and Inequalities
Chapter Study Guide
138
1
Solving Linear Systems by Graphing
139
9
Graphing Calculator: Graphing Systems of Equations
146
2
Solving Linear Systems Algebraically
148
8
Concept Activity: Combining Equations in a Linear System
147
8
Quiz 1
155
1
Graphing and Solving Systems of Linear Inequalities
156
7
Linear Programming: Exploring Data and Statistics
163
7
Quiz 2
169
1
Graphing Linear Equations in Three Variables
170
7
Graphing Calculator: Graphing Linear Equations in Three Variables
176
1
Solving Systems of Linear Equations in Three Variables
177
22
Quiz 3
184
14
Matrices and Determinants
Chapter Study Guide
198
1
Matrix Operations: Exploring Data and Statistics
199
9
Graphing Calculator: Using Matrix Operations
207
1
Multiplying Matrices
208
6
Determinants and Cramer's Rule
214
9
Quiz 1
221
2
Identity and Inverse Matrices
223
7
Concept Activity: Investigating Identity and Inverse Matrices
222
8
Solving Systems Using Inverse Matrices
230
19
Quiz 2
236
1
Extension: Solving Systems Using Augmented Matrices
237
11
Quadratic Functions
Chapter Study Guide
248
1
Graphing Quadratic Functions
249
7
Solving Quadratic Equations by Factoring
256
8
Solving Quadratic Equations by Finding Square Roots
264
8
Quiz 1
270
1
Graphing Calculator: Solving Quadratic Equations
271
1
Complex Numbers
272
10
Completing the Square
282
9
Concept Activity: Using Algebra Tiles to Complete the Square
281
9
Graphing Calculator: Finding Maximums and Minimums
290
1
The Quadratic Formula and the Discriminant
291
8
Quiz 2
298
1
Graphing and Solving Quadratic Inequalities
299
7
Modeling with Quadratic Functions: Exploring Data and Statistics
306
17
Quiz 3
312
10
Polynomials and Polynomial Functions
Chapter Study Guide
322
1
Using Properties of Exponents
323
6
Evaluating and Graphing Polynomial Functions
329
9
Graphing Calculator: Setting a Good Viewing Window
337
1
Adding, Subtracting, and Multiplying Polynomials
338
7
Quiz 1
344
1
Factoring and Solving Polynomial Equations
345
7
The Remainder and Factor Theorems
352
7
Finding Rational Zeros
359
7
Quiz 2
365
1
Using the Fundamental Theorem of Algebra
366
7
Graphing Calculator: Solving Polynomial Equations
372
1
Analyzing Graphs of Polynomial Functions
373
7
Modeling with Polynomial Functions: Exploring Data and Statistics
380
21
Concept Activity: Exploring Finite Differences
379
7
Quiz 3
386
14
Powers, Roots, and Radicals
Chapter Study Guide
400
1
nth Roots and Rational Exponents
401
6
Properties of Rational Exponents
407
8
Quiz 1
414
1
Power Functions and Function Operations
415
7
Inverse Functions
422
9
Concept Activity: Exploring Inverse Functions
421
8
Quiz 2
429
1
Graphing Calculator: Graphing Inverse Functions
430
1
Graphing Square Root and Cube Root Functions
431
6
Solving Radical Equations
437
8
Statistics and Statistical Graphs: Exploring Data and Statistics
445
20
Quiz 3
452
1
Graphing Calculator: Statistics and Statistical Graphs
453
11
Exponential and Logarithmic Functions
Chapter Study Guide
464
1
Exponential Growth
465
9
Exponential Decay
474
6
Concept Activity: Exponential Growth and Decay
473
7
The Number e
480
6
Quiz 1
485
1
Logarithmic Functions
486
7
Properties of Logarithms
493
8
Graphing Calculator: Graphing Logarithmic Functions
500
1
Solving Exponential and Logarithmic Equations
501
8
Quiz 2
508
1
Modeling with Exponential and Power Functions: Exploring Data and Statistics
509
8
Logistic Growth Functions
517
17
Quiz 3
522
10
Rational Equations and Functions
Chapter Study Guide
532
2
Inverse and Joint Variation: Exploring Data and Statistics
534
6
Concept Activity: Investigating Inverse Variation
533
7
Graphing Simple Rational Functions
540
7
Graphing Calculator: Graphing Rational Functions
546
1
Graphing General Rational Functions
547
7
Quiz 1
553
1
Multiplying and Dividing Rational Expressions
554
8
Graphing Calculator: Operations with Rational Expressions
561
1
Addition, Subtraction, and Complex Fractions
562
6
Solving Rational Equations
568
21
Quiz 2
574
14
Quadratic Relations and Conic Sections
Chapter Study Guide
588
1
The Distance and Midpoint Formulas: Exploring Data and Statistics
589
6
Parabolas
595
6
Circles
601
8
Quiz 1
607
1
Graphing Calculator: Graphing Circles
608
1
Ellipses
609
6
Hyperbolas
615
8
Quiz 2
621
2
Graphing and Classifying Conics
623
9
Concept Activity: Exploring Conic Sections
622
10
Solving Quadratic Systems
632
19
Quiz 3
638
1
Extension: Eccentricity of Conic Sections
639
11
Sequences and Series
Chapter Study Guide
650
1
An Introduction to Sequences and Series
651
8
Graphing Calculator: Working with Sequences
658
1
Arithmetic Sequences and Series
659
7
Geometric Sequences and Series
666
9
Quiz 1
673
2
Infinite Geometric Series
675
6
Concept Activity: Investigating an Infinite Geometric Series
674
7
Recursive Rules for Sequences
681
20
Quiz 2
687
1
Spreadsheet Software: Evaluating Recursive Rules
688
1
Extension: Mathematical Induction
689
11
Probability and Statistics
Chapter Study Guide
700
1
The Fundamental Counting Principle and Permutations
701
7
Combinations and the Binomial Theorem
708
8
Quiz 1
715
1
An Introduction to Probability
716
8
Graphing Calculator: Generating Random Numbers
723
1
Probability of Compound Events
724
6
Probability of Independent and Dependent Events
730
9
Quiz 2
737
2
Binomial Distributions
739
7
Concept Activity: Investigating Binomial Distributions
738
7
Graphing Calculator: Constructing a Binomial Distribution
745
1
Normal Distributions: Exploring Data and Statistics
746
23
Quiz 3
752
1
Extension: Expected Value
753
15
Trigonometric Ratios and Functions
Chapter Study Guide
768
1
Right Triangle Trigonometry
769
7
General Angles and Radian Measure
776
8
Quiz 1
783
1
Trigonometric Functions of Any Angle
784
8
Inverse Trigonometric Functions
792
7
Concept Activity: Investigating Inverse Trigonometric Functions
791
7
Quiz 2
798
1
The Law of Sines
799
8
The Law of Cosines
807
6
Parametric Equations and Projectile Motion: Exploring Data and Statistics
813
18
Quiz 3
819
1
Graphing Calculator: Graphing Parametric Equations
820
10
Trigonometric Graphs, Identities, and Equations
Chapter Study Guide
830
1
Graphing Sine, Cosine, and Tangent Functions
831
9
Graphing Calculator: Graphing Trigonometric Functions
838
2
Translations and Reflections of Trigonometric Graphs
840
8
Concept Activity: Translating and Reflecting Trigonometric Graphs
839
8
Quiz 1
847
1
Verifying Trigonometric Identities
848
7
Solving Trigonometric Equations
855
7
Modeling with Trigonometric Functions: Exploring Data and Statistics
862
7
Quiz 2
868
1
Using Sum and Difference Formulas
869
6
Using Double- and Half-Angle Formulas
875
20
Quiz 3
882
13
Student Resources
Derivations of Key Formulas
895
10
Skills Review Handbook
905
35
Real Numbers
905
9
Operations with Signed Numbers
Converting Decimals, Fractions, and Percents
Calculating Percents
Least Common Denominator
Writing Ratios and Solving Proportions
Significant Digits
Scientific Notation
Geometry
914
10
Perimeter, Area, and Volume
Triangle Relationships
Symmetry
Transformations
Similar Figures
Logical Reasoning
924
5
Logical Argument
If-Then Statements
Counterexamples
Justify Reasoning
Problem Solving
929
4
Translating Phrases into Algebraic Expressions
Additional Problem Solving Strategies
Graphing
933
3
Points in the Coordinate Plane
Bar, Circle, and Line Graphs
Algebra
936
4
Opposites
Multiplying Binomials
Factoring
Least Common Denominator
Extra Practice For Chapters 1-14
940
21
Tables
961
10
Symbols
961
1
Measures
962
1
Formulas
963
6
Properties
969
2
Mixed Problem Solving
971
14
Appendices
985
16
Glossary
1001
10
English-To-Spanish Glossary
1011
12
Index
1023
20
Credits
1043
Selected Answers
1