| Chapter 1 From Patterns to Algebra
- 1.1 Using Differences to Identify Patterns
- 1.2 Variables, Expressions, and Equations
- 1.3 The Algebraic Order of Operations
- 1.4 Graphing With Coordinates
- 1.5 Representing Linear Patterns
- 1.6 Scatter Plots and Lines of Best Fit
Chapter 2 Operations in Algebra
- 2.1 The Real Numbers and Absolute Value
- 2.2 Adding Real Numbers
- 2.3 Subtracting Real Numbers
- 2.4 Multiplying and Dividing Real Numbers
- 2.5 Properties and Mental Computation
- 2.6 Adding and Subtracting Expressions
- 2.7 Multiplying and Dividing Expressions
Chapter 3 Equations
- 3.1 Solving Equations by Adding and Subtracting
- 3.2 Solving Equations by Multiplying and Dividing
- 3.3 Solving Two-Step Equations
- 3.4 Solving Multistep Equations
- 3.5 Using the Distributive Property
- 3.6 Using formulas and Literal Equations
Chapter 4 Proportional Reasoning
and Statistics
- 4.1 Using Proportional Reasoning
- 4.2 Percent Problems
- 4.3 Introduction to Probability
- 4.4 Measures of Central Tendency
- 4.5 Graphing Data
- 4.6 Other Data Displays
Chapter 5 Linear Functions
- 5.1 Linear Functions and Graphs
- 5.2 Defining Slope
- 5.3 Rate of Change and Direct Variation
- 5.4 The Slope-Intercept Form
- 5.5 The Standard and Point-Slope Forms
- 5.6 Parallel and Perpendicular Lines
Chapter 6 Inequalities and Absolute
Value
- 6.1 Solving Inequalities
- 6.2 Multistep Inequalities
- 6.3 Compound Inequalities
- 6.4 Absolute-Value Functions
- 6.5 Absolute-Value Equations and Inequalities
Chapter 7 Systems of Equations and
Inequalities
- 7.1 Graphing Systems of Equations
- 7.2 The Substitution Method
- 7.3 The Elimination Method
- 7.4 Consistent and Inconsistent Systems
- 7.5 Systems of Inequalities
- 7.6 Classic Puzzles in Two Variables
Chapter 8 Exponents and Exponential
Functions
- 8.1 Laws of Exponents: Multiplying Monomials
- 8.2 Laws of Exponents: Powers and Products
- 8.3 Laws of Exponents: Dividing Monomials
- 8.4 Negative and Zero Exponents
- 8.5 Scientific Notation
- 8.6 Exponential Functions
- 8.7 Applications of Exponential Functions
Chapter 9 Polynomials and Factoring
- 9.1 Adding and Subtracting Polynomials
- 9.2 Modeling Polynomial Multiplication
- 9.3 Multiplying Binomials
- 9.4 Polynomial Functions
- 9.5 Common Factors
- 9.6 Factoring Special Polynomials
- 9.7 Factoring Quadratic Trinomials
- 9.8 Solving Equations by Factoring
Chapter 10 Quadratic Functions
- 10.1 Graphing Parabolas
- 10.2 Solving Equations by Using Square Roots
- 10.3 Completing the Square
- 10.4 Solving Equations of the Form x2 + bx + c = 0
- 10.5 The Quadratic Formula
- 10.6 Graphing Quadratic Inequalities
Chapter 11 Rational Functions
- 11.1 Inverse Variation
- 11.2 Rational Expressions and Functions
- 11.3 Simplifying Rational Expressions
- 11.4 Operations With Rational Expressions
- 11.5 Solving Rational Equations
- 11.6 Proof in Algebra
Chapter 12 Radicals, Functions &
Coordinate Geometry
- 12.1 Operations With Radicals
- 12.2 Square-Root Functions and Radical Equations
- 12.3 The Pythagorean Theorem
- 12.4 The Distance Formula
- 12.5 Geometric Properties
- 12.6 The Tangent Function
- 12.7 The Sine and Cosine Functions
- 12.8 Introduction to Matrices
Chapter 13 Probability
- 13.1 Theoretical Probability
- 13.2 Counting the Elements of Sets
- 13.3 The Fundamental Counting Principle
- 13.4 Independent Events
- 13.5 Simulations
Chapter 14 Functions and Transformations
- 14.1 Graphing Functions and Relations
- 14.2 Translations
- 14.3 Stretches and Compressions
- 14.4 Reflections
- 14.5 Combining Transformations
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Language of Algebra
Students will develop the language of algebra including specialized vocabulary, symbols, and operations.
Solving Equations and Inequalities
Students will write, with and without appropriate technology, equivalent forms of equations, inequalities and systems of equations and solve with fluency.
Linear Functions
Students will analyze functions by investigating rates of change, intercepts, and zeros.
Non-Linear Functions
Students will compare the properties in the family of functions.
Data Interpretation and Probability
Students will compare various methods of reporting data to make inferences or predictions. |
