Algebra 1: Volumes 1 & 2

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1: Quantities and Modeling

1.1: Quantitative Reasoning

1.1.1: Solving Equations

 Circles
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line

1.1.3: Reporting with Precision and Accuracy

 Polling: Neighborhood

1.2: Algebraic Models

1.2.1: Modeling with Expressions

 Solving Equations on the Number Line

1.2.2: Creating and Solving Equations

 Absolute Value Equations and Inequalities
 Circles
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Using Algebraic Equations

1.2.3: Solving for a Variable

 Area of Triangles
 Solving Formulas for any Variable

1.2.4: Creating and Solving Inequalities

 Absolute Value Equations and Inequalities
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable

1.2.5: Creating and Solving Compound Inequalities

 Absolute Value Equations and Inequalities
 Compound Inequalities
 Solving Linear Inequalities in One Variable

2: Understanding Functions

2.3: Functions and Models

2.3.1: Graphing Relationships

 Introduction to Functions
 Linear Functions

2.3.2: Understanding Relations and Functions

 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

2.3.3: Modeling with Functions

 Linear Functions

2.3.4: Graphing Functions

 Absolute Value with Linear Functions
 Exponential Functions
 Introduction to Exponential Functions
 Point-Slope Form of a Line
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Radical Functions
 Standard Form of a Line

2.4: Patterns and Sequences

2.4.1: Identifying and Graphing Sequences

 Arithmetic Sequences
 Geometric Sequences

2.4.2: Constructing Arithmetic Sequences

 Arithmetic Sequences
 Arithmetic and Geometric Sequences

2.4.3: Modeling with Arithmetic Sequences

 Arithmetic Sequences
 Arithmetic and Geometric Sequences

3: Linear Functions, Equations, and Inequalities

3.5: Linear Functions

3.5.1: Understanding Linear Functions

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Compound Interest
 Linear Functions
 Slope-Intercept Form of a Line

3.5.2: Using Intercepts

 Cat and Mouse (Modeling with Linear Systems)
 Logarithmic Functions
 Points, Lines, and Equations
 Roots of a Quadratic
 Slope-Intercept Form of a Line

3.5.3: Interpreting Rate of Change and Slope

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

3.6: Forms of Linear Equations

3.6.1: Slope-Intercept Form

 Linear Inequalities in Two Variables
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

3.6.2: Point-Slope Form

 Point-Slope Form of a Line

3.6.3: Standard Form

 Standard Form of a Line

3.6.4: Transforming Linear Functions

 Absolute Value with Linear Functions
 Exponential Functions

3.6.5: Comparing Properties of Linear Functions

 Graphs of Polynomial Functions
 Linear Functions
 Slope-Intercept Form of a Line

3.7: Linear Equations and Inequalities

3.7.1: Modeling Linear Relationships

 Absolute Value with Linear Functions
 Linear Functions
 Modeling and Solving Two-Step Equations

3.7.2: Using Functions to Solve One-Variable Equations

 Arithmetic Sequences
 Geometric Sequences

3.7.3: Linear Inequalities in Two Variables

 Linear Inequalities in Two Variables
 Systems of Linear Inequalities (Slope-intercept form)

4: Statistical Models

4.8: Multi-Variable Categorical Data

4.8.1: Two-Way Frequency Tables

 Histograms

4.9: One-Variable Data Distributions

4.9.1: Measures of Center and Spread

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Stem-and-Leaf Plots

4.9.2: Data Distributions and Outliers

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Least-Squares Best Fit Lines
 Mean, Median, and Mode
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram

4.9.3: Histograms and Box Plots

 Box-and-Whisker Plots
 Histograms
 Real-Time Histogram
 Sight vs. Sound Reactions

4.9.4: Normal Distributions

 Polling: City
 Populations and Samples
 Sight vs. Sound Reactions

4.10: Linear Modeling and Regression

4.10.1: Scatter Plots and Trend Lines

 Correlation
 Determining a Spring Constant
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

4.10.2: Fitting a Linear Model to Data

 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots
 Zap It! Game

5: Linear Systems and Piecewise-Defined Functions

5.11: Solving Systems of Linear Equations

5.11.1: Solving Linear Systems by Graphing

 Cat and Mouse (Modeling with Linear Systems)
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)

5.11.2: Solving Linear Systems by Substitution

 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

5.11.3: Solving Linear Systems by Adding or Subtracting

 Solving Linear Systems (Standard Form)

5.11.4: Solving Linear Systems by Multiplying First

 Solving Linear Systems (Standard Form)

5.12: Modeling with Linear Systems

5.12.1: Creating Systems of Linear Equations

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)

5.12.2: Creating Systems of Linear Inequalities

 Linear Programming
 Systems of Linear Inequalities (Slope-intercept form)

5.12.3: Modeling with Linear Systems

 Cat and Mouse (Modeling with Linear Systems)
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)

5.13: Piecewise-Defined Functions

5.13.2: Absolute Value Functions and Transformations

 Absolute Value with Linear Functions
 Translating and Scaling Functions

5.13.3: Solving Absolute Value Equations

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions

5.13.4: Solving Absolute Value Inequalities

 Absolute Value Equations and Inequalities
 Compound Inequalities

6: Exponential Relationships

6.14: Rational Exponents and Radicals

6.14.1: Understanding Rational Exponents and Radicals

 Operations with Radical Expressions
 Square Roots

6.15: Geometric Sequences and Exponential Functions

6.15.1: Understanding Geometric Sequences

 Arithmetic and Geometric Sequences
 Geometric Sequences

6.15.2: Constructing Geometric Sequences

 Arithmetic and Geometric Sequences
 Geometric Sequences

6.15.3: Constructing Exponential Functions

 Compound Interest
 Introduction to Exponential Functions

6.15.4: Graphing Exponential Functions

 Compound Interest
 Exponential Functions
 Introduction to Exponential Functions
 Logarithmic Functions

6.15.5: Transforming Exponential Functions

 Exponential Functions
 Introduction to Exponential Functions

6.16: Exponential Equations and Models

6.16.1: Using Graphs and Properties to Solve Equations with Exponents

 Exponential Functions

6.16.2: Modeling Exponential Growth and Decay

 Compound Interest

7: Polynomial Operations

7.17: Adding and Subtracting Polynomials

7.17.2: Adding Polynomial Expressions

 Addition and Subtraction of Functions
 Addition of Polynomials

7.17.3: Subtracting Polynomial Expressions

 Addition and Subtraction of Functions
 Addition of Polynomials

7.18: Multiplying Polynomials

7.18.2: Multiplying Polynomial Expressions

 Modeling the Factorization of x2+bx+c

7.18.3: Special Products of Binomials

 Factoring Special Products

8: Quadratic Functions

8.19: Graphing Quadratic Functions

8.19.1: Understanding Quadratic Functions

 Addition and Subtraction of Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic
 Translating and Scaling Functions
 Zap It! Game

8.19.2: Transforming Quadratic Functions

 Exponential Functions
 Translating and Scaling Functions
 Translations
 Zap It! Game

8.20: Connecting Intercepts, Zeros and Factors

8.20.1: Connecting Intercepts and Zeros

 Cat and Mouse (Modeling with Linear Systems)
 Logarithmic Functions
 Modeling the Factorization of x2+bx+c
 Points, Lines, and Equations
 Polynomials and Linear Factors
 Roots of a Quadratic
 Slope-Intercept Form of a Line

8.20.2: Connecting Intercepts and Linear Factors

 Quadratics in Factored Form

9: Quadratic Equations and Modeling

9.21: Using Factors to Solve Quadratic Equations

9.21.1: Solving Equations by Factoring x² + bx + c

 Modeling the Factorization of x2+bx+c

9.21.2: Solving Equations by Factoring ax² + bx + c

 Modeling the Factorization of x2+bx+c

9.21.3: Using Special Factors to Solve Equations

 Modeling the Factorization of x2+bx+c

9.22: Using Square Roots to Solve Quadratic Equations

9.22.1: Solving Equations by Taking Square Roots

 Roots of a Quadratic

9.22.2: Solving Equations by Completing the Square

 Roots of a Quadratic

9.22.3: Using the Quadratic Formula to Solve Equations

 Roots of a Quadratic

9.22.4: Choosing a Method for Solving Quadratic Equations

 Roots of a Quadratic

9.23: Linear, Exponential and Quadratic Models

9.23.2: Comparing Linear, Exponential and Quadratic Models

 Exponential Functions

10: Inverse Relationships

10.24: Functions and Inverses

10.24.1: Graphing Polynomial Functions

 Graphs of Polynomial Functions
 Polynomials and Linear Factors
 Quadratics in Factored Form

10.24.2: Understanding Inverse Functions

 Logarithmic Functions

10.24.3: Graphing Square Root Functions

 Radical Functions

10.24.4: Graphing Cube Root Functions

 Radical Functions

Content correlation last revised: 6/6/2017