Algebra I Foundations

          Module 1: Algebra Fundamentals and Concepts

Section 1: Understanding Algebra
- Lesson 1: What is Algebra?
  - Module 1, Section 1, Lesson 1: What is Algebra?
- Lesson 2: The Importance of Algebra in Everyday Life
  - Module 1, Section 1, Lesson 2: The Importance of Algebra in Everyday Life

Section 2: Number Systems and Mathematical Symbols
- Lesson 1: Types of Numbers (Natural, Whole, Integers, etc.)
  - Module 1, Section 2, Lesson 1: Types of Numbers
- Lesson 2: Common Mathematical Symbols and Notation
  - Module 1, Section 2, Lesson 2: Common Mathematical Symbols and Notation

Section 3: Variables and Constants
- Lesson 1: Defining Variables and Their Uses
  - Module 1, Section 3, Lesson 1: Defining Variables and Their Uses
- Lesson 2: Understanding Constants and Their Role
  - Module 1, Section 3, Lesson 2: Understanding Constants and Their Role

Section 4: Basic Operations in Algebra
- Lesson 1: Addition and Subtraction in Context
  - Module 1, Section 4, Lesson 1: Addition and Subtraction in Context
- Lesson 2: Multiplication and Division Fundamentals
  - Module 1, Section 4, Lesson 2: Multiplication and Division Fundamentals

Section 5: Reading and Writing Algebraic Expressions
- Lesson 1: Translating Words into Algebraic Expressions
  - Module 1, Section 5, Lesson 1: Translating Words into Algebraic Expressions
- Lesson 2: Evaluating Simple Algebraic Expressions
  - Module 1, Section 5, Lesson 2: Evaluating Simple Algebraic Expressions


Module 2: Working with Algebraic Expressions

Section 1: Combining Like Terms
- Lesson 1: Identifying Like Terms Within Expressions
  - Module 2, Section 1, Lesson 1: Identifying Like Terms Within Expressions
- Lesson 2: Simplifying Expressions by Combining Like Terms
  - Module 2, Section 1, Lesson 2: Simplifying Expressions by Combining Like Terms

Section 2: The Distributive Property
- Lesson 1: Understanding the Concept of Distribution
  - Module 2, Section 2, Lesson 1: Understanding the Concept of Distribution
- Lesson 2: Applying the Distributive Property in Simplification
  - Module 2, Section 2, Lesson 2: Applying the Distributive Property in Simplification

Section 3: Adding and Subtracting Algebraic Expressions
- Lesson 1: Techniques for Adding Expressions
  - Module 2, Section 3, Lesson 1: Techniques for Adding Expressions
- Lesson 2: Methods for Subtracting Expressions
  - Module 2, Section 3, Lesson 2: Methods for Subtracting Expressions

Section 4: Multiplication of Expressions
- Lesson 1: Multiplying Variables and Constants
  - Module 2, Section 4, Lesson 1: Multiplying Variables and Constants
- Lesson 2: Recognizing Special Products (such as binomial products)
  - Module 2, Section 4, Lesson 2: Recognizing Special Products

Section 5: Introduction to Exponents
- Lesson 1: Understanding Basic Exponents and Powers
  - Module 2, Section 5, Lesson 1: Understanding Basic Exponents and Powers
- Lesson 2: Evaluating Simple Exponential Expressions
  - Module 2, Section 5, Lesson 2: Evaluating Simple Exponential Expressions


Module 3: Introducing Equations and Inequalities

Section 1: Understanding Equations
- Lesson 1: What is an Equation? A Basic Definition
  - Module 3, Section 1, Lesson 1: What is an Equation? A Basic Definition
- Lesson 2: Identifying Components of an Equation
  - Module 3, Section 1, Lesson 2: Identifying Components of an Equation

Section 2: Solving One-Step Equations
- Lesson 1: Isolating the Variable in Simple Equations
  - Module 3, Section 2, Lesson 1: Isolating the Variable in Simple Equations
- Lesson 2: Verifying Solutions to One-Step Equations
  - Module 3, Section 2, Lesson 2: Verifying Solutions to One-Step Equations

Section 3: Two-Step Equations
- Lesson 1: Using Addition and Subtraction in Two-Step Equations
  - Module 3, Section 3, Lesson 1: Using Addition and Subtraction in Two-Step Equations
- Lesson 2: Using Multiplication and Division in Two-Step Equations 
  - Module 3, Section 3, Lesson 2: Using Multiplication and Division in Two-Step Equations

Section 4: Introduction to Inequalities
- Lesson 1: What Are Inequalities? Basic Concepts
  - Module 3, Section 4, Lesson 1: What Are Inequalities? Basic Concepts
- Lesson 2: Understanding Inequality Symbols and Their Meanings
  - Module 3, Section 4, Lesson 2: Understanding Inequality Symbols and Their Meanings

Section 5: Solving Simple Inequalities
- Lesson 1: Isolating Variables in Basic Inequalities
  - Module 3, Section 5, Lesson 1: Isolating Variables in Basic Inequalities
- Lesson 2: Introduction to Graphing Inequality Solutions
  - Module 3, Section 5, Lesson 2: Introduction to Graphing Inequality Solutions


Module 4: Deeper into Algebraic Manipulation

Section 1: Exploring Variables and Equation Setup
- Lesson 1: Representing Unknowns in Various Contexts
  - Module 4, Section 1, Lesson 1: Representing Unknowns in Various Contexts
- Lesson 2: Setting Up Equations from Word Problems
  - Module 4, Section 1, Lesson 2: Setting Up Equations from Word Problems

Section 2: Cross Multiplication and Proportional Reasoning
- Lesson 1: Understanding Fractions in Algebraic Equations
  - Module 4, Section 2, Lesson 1: Understanding Fractions in Algebraic Equations
- Lesson 2: Solving Proportions Using Cross Multiplication
  - Module 4, Section 2, Lesson 2: Solving Proportions Using Cross Multiplication

Section 3: Inverse Operations
- Lesson 1: Identifying Inverse Operations in Mathematics
  - Module 4, Section 3, Lesson 1: Identifying Inverse Operations in Mathematics
- Lesson 2: Applying Inverse Operations to Solve Equations
  - Module 4, Section 3, Lesson 2: Applying Inverse Operations to Solve Equations

Section 4: Introduction to Problem-Solving Strategies
- Lesson 1: Breaking Down Complex Problems into Steps
  - Module 4, Section 4, Lesson 1: Breaking Down Complex Problems into Steps
- Lesson 2: A Step-by-Step Approach to Problem Solving
  - Module 4, Section 4, Lesson 2: A Step-by-Step Approach to Problem Solving

Section 5: Collaborative Problem Solving and Communication
- Lesson 1: Effective Group Work Techniques in Math
  - Module 4, Section 5, Lesson 1: Effective Group Work Techniques in Math
- Lesson 2: Communicating Mathematical Ideas Clearly
  - Module 4, Section 5, Lesson 2: Communicating Mathematical Ideas Clearly


Module 5: Introduction to Functions and Graphing

Section 1: Understanding Functions
- Lesson 1: Defining Functions and Their Basic Properties
  - Module 5, Section 1, Lesson 1: Defining Functions and Their Basic Properties
- Lesson 2: Introduction to Domain and Range
  - Module 5, Section 1, Lesson 2: Introduction to Domain and Range

Section 2: The Coordinate Plane and Graph Basics
- Lesson 1: Understanding the Coordinate System
  - Module 5, Section 2, Lesson 1: Understanding the Coordinate System
- Lesson 2: Plotting Points Accurately on the Graph
  - Module 5, Section 2, Lesson 2: Plotting Points Accurately on the Graph

Section 3: Linear Functions
- Lesson 1: Characteristics of Linear Functions
  - Module 5, Section 3, Lesson 1: Characteristics of Linear Functions
- Lesson 2: Identifying Slope and Y-Intercept
  - Module 5, Section 3, Lesson 2: Identifying Slope and Y-Intercept

Section 4: Analyzing Graphs of Functions
- Lesson 1: Reading Information from Graphs
  - Module 5, Section 4, Lesson 1: Reading Information from Graphs
- Lesson 2: Comparing Graphs: Trends and Patterns
  - Module 5, Section 4, Lesson 2: Comparing Graphs: Trends and Patterns

Section 5: Applications of Functions in the Real World
- Lesson 1: Modeling Real-Life Situations with Functions
  - Module 5, Section 5, Lesson 1: Modeling Real-Life Situations with Functions
- Lesson 2: Using Functions to Solve Practical Problems
  - Module 5, Section 5, Lesson 2: Using Functions to Solve Practical Problems