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