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Tables of Contents for Algebra 1
Chapter/Section Title
Page #
Page Count
Using Algebra to Work with Data
Interview
xxx
 
Carrie Teegardin
Working with Variables and Data
3
5
Using the Order of Operations
8
6
Exploration: Calculator Order of Operations
8
6
Mean, Median, and Mode
14
5
Working with Integers
19
5
Exploring Negative Numbers
24
6
Exploring Variable Expressions
30
5
Exploration: Patterns and Variable Expressions
30
5
Applying Variable Expressions
35
5
Organizing Data
40
15
Review Chapter Review
48
4
Equations and Functions
Interview
52
3
Bob Hall
Solving One-Step Equations
55
6
Solving Two-Step Equations
61
5
Exploration: Solving Equations with Algebra Tiles
61
5
Applying Functions
66
6
Coordinate Graphs
72
6
Representing Functions
78
6
Exploration: Graphing Equations
78
6
Using Graphs to Solve Problems
84
15
Review Chapter Review
92
4
Graphing Linear Equations
Interview
96
3
Mae Jemison
Applying Rates
99
7
Exploring Direct Variation
106
7
Exploration: Patterns and Direct Variation
106
7
Finding Slope
113
6
Finding Equations of Lines
119
6
Exploration: Exploring Linear Equations and Graphs
119
6
Writing an Equation of a Line
125
5
Modeling Linear Data
130
17
Exploration: Creating a Linear Model
132
6
Review Chapter Review
138
6
Solving Equations and Inequalities
Interview
144
3
Barbara Romanowicz
Solving Problems Using Tables and Graphs
147
6
Exploration: Comparing Tables and Graphs
147
6
Using Reciprocals
153
5
Solving Multi-Step Equations
158
7
Exploration: Getting Variables onto One Side
158
7
Equations with Fractions or Decimals
165
6
Writing Inequalities from Graphs
171
5
Solving Inequalities
176
15
Exploration: Working with Inequalities
176
8
Review Chapter Review
184
4
Connecting Algebra and Geometry
Interview
188
3
Daniel Galvez
Ratios and Proportions
191
7
Exploration: The Capture-Recapture Method
191
7
Scale Measurements
198
7
Working with Similarity
205
7
Exploration: Constructing Similar Triangles
205
7
Perimeters and Areas of Similar Figures
212
6
Exploring Probability
218
6
Exploration: Rolling a Die
218
6
Geometric Probability
224
15
Review Chapter Review
232
4
Working with Radicals
Interview
236
3
Nathan Shigemura
The Pythagorean Theorem
239
6
Irrational Numbers
245
6
Calculating with Radicals
251
7
Exploration: Comparing Radicals
251
7
Multiplying Monomials and Binomials
258
6
Exploration: Finding Products with Algebra Tiles
259
5
Finding Special Products
264
17
Review Chapter Review
272
6
Systems of Equations and Inequalities
Interview
278
3
Nancy Clark
Using Linear Equations in Standard Form
281
6
Solving Systems of Equations
287
7
Solving Linear Systems by Adding or Subtracting
294
5
Solving Linear Systems Using Multiplication
299
7
Exploration: Graphing Multiple Equations
299
7
Linear Inequalities
306
5
Exploration: Graphing x - y ≥ 1
306
5
Systems of Inequalities
311
14
Review Chapter Review
318
4
Quadratic Functions
Interview
322
3
Bill Pinkney
Nonlinear Relationships
325
6
Exploration: Exploring Nonlinear Graphs
325
6
Exploring Parabolas
331
6
Exploration: Analyzing the Shape of a Parabola
331
6
Solving Quadratic Equations
337
7
Applying Quadratic Equations
344
6
The Quadratic Formula
350
5
Using the Discriminant
355
14
Exploration: Solutions of Quadratic Equations
355
7
Review Chapter Review
362
4
Exponential Functions
Interview
366
3
Lori Arviso Alvord
Exponents and Powers
369
7
Exploration: Exploring Exponents
369
7
Exponential Growth
376
7
Exponential Decay
383
7
Exploration: Modeling Exponential Decay
383
7
Zero and Negative Exponents
390
6
Working with Scientific Notation
396
5
Exploring Powers
401
5
Exploration: Multiplying and Dividing Powers of 10
401
5
Working with Powers
406
17
Review Chapter Review
414
6
Polynomial Functions
Interview
420
3
Linda Pei
Adding and Subtracting Polynomials
423
6
Multiplying Polynomials
429
7
Exploration: Modeling Dimensions with Polynomials
429
7
Exploring Polynomial Equations
436
6
Exploration: Factors, Intercepts, and Solutions
436
6
Exploring Factoring
442
5
Exploration: Using Models to Factor Trinomials
442
5
Applying Factoring
447
16
Review Chapter Review
456
4
Rational Functions
Interview
460
3
Alex MacLean
Exploring Inverse Variation
463
6
Exploration: Exploring Rectangles with Equal Areas
463
6
Using Weighted Averages
469
7
Exploration: Comparing Game Scores
469
7
Solving Rational Equations
476
6
Applying Formulas
482
6
Working with Rational Expressions
488
6
Exploring Rational Expressions
494
15
Exploration: Subtracting Rational Expressions
494
8
Review Chapter Review
502
4
Discrete Mathematics
Interview
506
3
Phil Roman
Exploring Algorithms
509
7
Exploration: Writing an Algorithm
509
7
Finding Paths and Trees
516
7
Voting and Fair Division
523
7
Permutations
530
6
Combinations
536
6
Exploration: Making Connections
536
6
Connecting Probability and Counting
542
15
Review Chapter Review
550
7
Student Resources
Extra Practice
557
27
Toolbox
584
1
Factors and Multiples
584
1
Powers of Ten
585
1
Ratios and Rates
586
1
Fractions, Decimals, and Percents
587
3
Integers
590
1
Inequalities
591
1
Graphing Inequalities
591
1
Systems of Measurement
592
1
Perimeter and Circumferences
593
1
Area and Volume
594
1
Angles
595
1
Statistical Graphs
596
4
Problem Solving
600
2
Technology Handbook
602
1
Performing Calculations
602
1
Displaying Graphs
603
2
Reading a Graph
605
3
Working with Statistics
608
2
Using a Spreadsheet
610
1
Tables, Properties, and Formulas
611
1
Measures
611
1
Symbols
612
1
Squares and Square Roots
613
1
Properties of Algebra
614
1
Formulas from Geometry
615
1
Appendices
616
8
Appendix 1: Domains and Ranges of Functions
616
2
Appendix 2: Graphing Linear and Quadratic Equations
618
3
Appendix 3: Solving Systems Using Tables and Tiles
621
3
Glossary
624
5
Index
629