Integrated Math: Course 1: Volume 1

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1: Solving Equations and Inequalities

1.1: The Distributive Property

 Square Roots

1.2: Solving Multi-Step Equations

 Modeling and Solving Two-Step Equations

1.3: Solving Equations with Variables on Both Side

 Modeling and Solving Two-Step Equations

1.4: Literal Equations and Formulas

 Area of Triangles
 Circles
 Solving Formulas for any Variable

1.5: Ratios, Rates and Conversions

 Beam to Moon (Ratios and Proportions)
 Part-to-part and Part-to-whole Ratios

1.6: Solving Proportions

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Geometric Probability
 Part-to-part and Part-to-whole Ratios

1.7: Solving Multi-Step Inequalities

 Compound Inequalities
 Linear Inequalities in Two Variables

1.8: Compound Inequalities

 Absolute Value Equations and Inequalities
 Comparing and Ordering Decimals
 Compound Inequalities
 Solving Linear Inequalities in One Variable

1.9: Absolute Value Equations and Inequalities

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Compound Inequalities

2: An Introduction to Functions

2.1: Using Graphs to Relate Two Quantities

 Quadratics in Polynomial Form

2.2: Patterns and Linear Functions

 Arithmetic Sequences
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)

2.4: Graphing a Function Rule

 Absolute Value with Linear Functions
 Exponential Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Exponential Functions
 Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Radical Functions
 Standard Form of a Line

2.5: Writing a Function Rule

 Function Machines 1 (Functions and Tables)
 Introduction to Functions
 Points, Lines, and Equations

2.6: Formalizing Relations and Functions

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

2.7: Arithmetic Sequences

 Arithmetic Sequences
 Arithmetic and Geometric Sequences

3: Linear Functions

3.1: 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

3.2: Direct Variation

 Direct and Inverse Variation

3.3: Slope-Intercept Form

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

3.4: Point-Slope Form

 Point-Slope Form of a Line

3.5: Standard Form

 Standard Form of a Line

3.6: Slopes of Parallel and Perpendicular Lines

 Cat and Mouse (Modeling with Linear Systems)

3.7: Graphing Absolute Value Functions

 Absolute Value with Linear Functions
 Translating and Scaling Functions

4: Systems of Equations and Inequalities

4.1: Solving 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)

4.2: Solving Systems Using Substitution

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

4.3: Solving Systems Using Elimination

 Solving Linear Systems (Standard Form)

4.4: Applications of Linear Systems

 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)
 Solving Linear Systems (Standard Form)

4.5: Linear Inequalities

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

4.6: Systems of Linear Inequalities

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

5: Exponential and Radical Functions

5.1: Zero and Negative Exponents

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions

5.2: Exponential Functions

 Exponential Functions
 Introduction to Exponential Functions
 Simple and Compound Interest

5.3: Comparing Linear and Exponential Functions

 Exponential Functions
 Simple and Compound Interest

5.4: Exponential Growth and Decay

 Simple and Compound Interest

5.5: Solving Exponential Equations

 Exponential Functions

5.6: Geometric Sequences

 Arithmetic and Geometric Sequences
 Geometric Sequences

5.7: Combining Functions

 Addition and Subtraction of Functions
 Function Machines 1 (Functions and Tables)

5.8: Simplifying Radicals

 Operations with Radical Expressions
 Simplifying Radical Expressions

5.9: Radical and Piecewise Functions

 Radical Functions

6: Data Analysis

6.1: Frequency and Histograms

 Histograms

6.2: Measures of Central Tendency and Dispersion

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

6.3: Box-and-Whisker Plots

 Box-and-Whisker Plots

6.4: Scatter Plots and Trend Lines

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

6.5: Two-Way Frequency Tables

 Histograms

7: Tools of Geometry

7.1: Nets and Drawings for Visualizing Geometry

 Surface and Lateral Areas of Prisms and Cylinders

7.2: Points, Lines, and Planes

 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Parallel, Intersecting, and Skew Lines
 Points in the Coordinate Plane
 Slope

7.3: Measuring Segments

 Similar Figures

7.4: Measuring Angles

 Triangle Angle Sum

7.5: Exploring Angle Pairs

 Investigating Angle Theorems
 Triangle Angle Sum

7.6: Midpoint and Distance in the Coordinate Plane

 Points in the Coordinate Plane

Content correlation last revised: 2/2/2016