Core Connections: Algebra (Volume 1)

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1: Functions

1.1: Section 1.1

1.1.3: Investigating the Graphs of Quadratic Functions

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

1.2: Section 1.2

1.2.2: Cube Root and Absolute Value Functions

Absolute Value with Linear Functions
Translating and Scaling Functions

1.2.3: Function Machines

Linear Functions
Points, Lines, and Equations

1.2.4: Functions

Linear Functions

1.2.5: Domain and Range

General Form of a Rational Function
Logarithmic Functions
Radical Functions

2: Linear Relationships

2.1: Section 2.1

2.1.2: Slope

Slope-Intercept Form of a Line

2.1.4: y = mx + b and More on Slope

Cat and Mouse (Modeling with Linear Systems)
Linear Inequalities in Two Variables
Point-Slope Form of a Line
Points, Lines, and Equations
Slope
Slope-Intercept Form of a Line
Standard Form of a Line

2.2: Section 2.2

2.2.1: Slope as Motion

Slope-Intercept Form of a Line

2.2.3: Equations of Lines in Situations

Slope-Intercept Form of a Line

2.3: Section 2.3

2.3.1: Finding an Equation Given a Slope and a Point

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

2.3.2: Finding the Equation of a Line Through Two Points

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

3: Simplifying and Solving

3.1: Section 3.1

3.1.2: Zero and Negative Exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

3.3: Section 3.3

3.3.1: Solving Equations With Multiplication and Absolute Value

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions

3.3.2: Working With Multi-Variable Equations

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

3.3.3: Summary of Solving Equations

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

4: Systems of Equations

4.1: Section 4.1

4.1.1: Solving Word Problems by Writing Equations

Linear Inequalities in Two Variables
Modeling One-Step Equations
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

4.1.2: One Equation or Two?

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

4.2: Section 4.2

4.2.1: Solving Systems of Equations Using Substitution

Solving Equations by Graphing Each Side
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

4.2.3: Solving Systems Using Elimination

Solving Equations by Graphing Each Side
Solving Linear Systems (Standard Form)

4.2.4: More Elimination

Solving Equations by Graphing Each Side
Solving Linear Systems (Standard Form)

4.2.5: Choosing a Strategy for Solving Systems

Solving Linear Systems (Standard Form)

4.3: Section 4.3

4.3.1: Putting it all Together

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

5: Sequences

5.1: Section 5.1

5.1.1: Representing Exponential Growth

Compound Interest

5.1.2: Rebound Ratios

Arithmetic and Geometric Sequences
Geometric Sequences

5.1.3: The Bouncing Ball and Exponential Decay

Arithmetic and Geometric Sequences
Compound Interest
Geometric Sequences

5.2: Section 5.2

5.2.2: Generalizing Arithmetic Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

5.2.3: Recursive Sequences

Arithmetic Sequences
Geometric Sequences

5.3: Section 5.3

5.3.2: Using Multipliers to Solve Problems

Arithmetic Sequences
Geometric Sequences

5.3.3: Comparing Sequences to Functions

Arithmetic Sequences
Geometric Sequences

A: Representing Expressions

A.1: Section A.1

A.1.1: Exploring Variables and Combining Like Terms

Simplifying Algebraic Expressions II
Solving Algebraic Equations I

A.1.2: Simplifying Expressions by Combining Like Terms

Addition and Subtraction of Functions
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

A.1.3: Writing Algebraic Expressions

Linear Inequalities in Two Variables
Modeling One-Step Equations
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

A.1.8: Using Algebra Tiles to Solve for x

Modeling One-Step Equations
Modeling and Solving Two-Step Equations

A.1.9: More Solving Equations

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

Content correlation last revised: 3/2/2018