Applied Algebra Techniques

          Module 1: Algebra Fundamentals

Section 1: Understanding Variables  
- Lesson 1: Introduction to Variables  
  Module 1, Section 1, Lesson 1: Introduction to Variables  
- Lesson 2: Recognizing Variables in Expressions  
  Module 1, Section 1, Lesson 2: Recognizing Variables in Expressions  

Section 2: Basic Operations  
- Lesson 1: Addition and Subtraction with Algebraic Expressions  
  Module 1, Section 2, Lesson 1: Addition and Subtraction with Algebraic Expressions  
- Lesson 2: Multiplication and Division of Terms  
  Module 1, Section 2, Lesson 2: Multiplication and Division of Terms  

Section 3: Expressions and Equations  
- Lesson 1: Understanding Algebraic Expressions  
  Module 1, Section 3, Lesson 1: Understanding Algebraic Expressions  
- Lesson 2: Constructing Simple Equations  
  Module 1, Section 3, Lesson 2: Constructing Simple Equations  

Section 4: Order of Operations  
- Lesson 1: Introduction to Order of Operations  
  Module 1, Section 4, Lesson 1: Introduction to Order of Operations  
- Lesson 2: Applying BEDMAS/PEDMAS Rules  
  Module 1, Section 4, Lesson 2: Applying BEDMAS/PEDMAS Rules  

Section 5: Combining Like Terms  
- Lesson 1: Identifying Like Terms  
  Module 1, Section 5, Lesson 1: Identifying Like Terms  
- Lesson 2: Simplifying Algebraic Expressions  
  Module 1, Section 5, Lesson 2: Simplifying Algebraic Expressions  


Module 2: Equations and Variables

Section 1: Solving One-step Equations  
- Lesson 1: Solving Equations Using Addition/Subtraction  
  Module 2, Section 1, Lesson 1: Solving Equations Using Addition/Subtraction  
- Lesson 2: Solving Equations Using Multiplication/Division  
  Module 2, Section 1, Lesson 2: Solving Equations Using Multiplication/Division  

Section 2: Solving Two-step Equations  
- Lesson 1: Balancing Equations Step-by-Step  
  Module 2, Section 2, Lesson 1: Balancing Equations Step-by-Step  
- Lesson 2: Checking Solutions  
  Module 2, Section 2, Lesson 2: Checking Solutions  

Section 3: Variables on Both Sides  
- Lesson 1: Transposing Terms  
  Module 2, Section 3, Lesson 1: Transposing Terms  
- Lesson 2: Isolating Variables  
  Module 2, Section 3, Lesson 2: Isolating Variables  

Section 4: Forming Equations from Word Problems  
- Lesson 1: Translating Words into Equations  
  Module 2, Section 4, Lesson 1: Translating Words into Equations  
- Lesson 2: Identifying Key Information  
  Module 2, Section 4, Lesson 2: Identifying Key Information  

Section 5: Introducing Inequalities  
- Lesson 1: Understanding Greater and Less Than  
  Module 2, Section 5, Lesson 1: Understanding Greater and Less Than  
- Lesson 2: Solving Simple Inequalities  
  Module 2, Section 5, Lesson 2: Solving Simple Inequalities  


Module 3: Functions and Graphs

Section 1: Understanding Functions  
- Lesson 1: Definition of a Function  
  Module 3, Section 1, Lesson 1: Definition of a Function  
- Lesson 2: Function Notation  
  Module 3, Section 1, Lesson 2: Function Notation  

Section 2: Mapping Diagrams  
- Lesson 1: Visualizing Functions with Mapping Diagrams  
  Module 3, Section 2, Lesson 1: Visualizing Functions with Mapping Diagrams  
- Lesson 2: Creating Your Own Mapping Diagrams  
  Module 3, Section 2, Lesson 2: Creating Your Own Mapping Diagrams  

Section 3: Plotting Points on the Graph  
- Lesson 1: Understanding the Coordinate Plane  
  Module 3, Section 3, Lesson 1: Understanding the Coordinate Plane  
- Lesson 2: Plotting Coordinates  
  Module 3, Section 3, Lesson 2: Plotting Coordinates  

Section 4: Linear Relationships  
- Lesson 1: Introduction to Linear Functions  
  Module 3, Section 4, Lesson 1: Introduction to Linear Functions  
- Lesson 2: Identifying Slope and Intercept  
  Module 3, Section 4, Lesson 2: Identifying Slope and Intercept  

Section 5: Graphical Representation of Equations  
- Lesson 1: Graphing Using Tables  
  Module 3, Section 5, Lesson 1: Graphing Using Tables  
- Lesson 2: Interpreting Graphs  
  Module 3, Section 5, Lesson 2: Interpreting Graphs  


Module 4: Real-world Modeling

Section 1: Translating Problems into Equations  
- Lesson 1: Identifying Relevant Information  
  Module 4, Section 1, Lesson 1: Identifying Relevant Information  
- Lesson 2: Formulating Algebraic Equations  
  Module 4, Section 1, Lesson 2: Formulating Algebraic Equations  

Section 2: Budgeting and Planning  
- Lesson 1: Simple Budgeting Models  
  Module 4, Section 2, Lesson 1: Simple Budgeting Models  
- Lesson 2: Allocating Resources  
  Module 4, Section 2, Lesson 2: Allocating Resources  

Section 3: Scaling in Maps and Models  
- Lesson 1: Understanding Scale Factors  
  Module 4, Section 3, Lesson 1: Understanding Scale Factors  
- Lesson 2: Applying Scale to Drawings  
  Module 4, Section 3, Lesson 2: Applying Scale to Drawings  

Section 4: Measurement and Conversion  
- Lesson 1: Converting Units  
  Module 4, Section 4, Lesson 1: Converting Units  
- Lesson 2: Applying Conversions in Problems  
  Module 4, Section 4, Lesson 2: Applying Conversions in Problems  

Section 5: Real-life Data Analysis  
- Lesson 1: Interpreting Graphs from Data  
  Module 4, Section 5, Lesson 1: Interpreting Graphs from Data  
- Lesson 2: Making Predictions Based on Data  
  Module 4, Section 5, Lesson 2: Making Predictions Based on Data  


Module 5: Problem Solving Strategies

Section 1: Identifying Problem Types  
- Lesson 1: Recognizing Algebra Problems  
  Module 5, Section 1, Lesson 1: Recognizing Algebra Problems  
- Lesson 2: Classifying Problems by Type  
  Module 5, Section 1, Lesson 2: Classifying Problems by Type  

Section 2: Developing a Plan  
- Lesson 1: Breaking Down Problems Step-by-Step  
  Module 5, Section 2, Lesson 1: Breaking Down Problems Step-by-Step  
- Lesson 2: Organizing Information Effectively  
  Module 5, Section 2, Lesson 2: Organizing Information Effectively  

Section 3: Using Logical Reasoning  
- Lesson 1: Introduction to Logical Thinking  
  Module 5, Section 3, Lesson 1: Introduction to Logical Thinking  
- Lesson 2: Drawing Conclusions from Data  
  Module 5, Section 3, Lesson 2: Drawing Conclusions from Data  

Section 4: Checking and Verifying  
- Lesson 1: Double-checking Solutions  
  Module 5, Section 4, Lesson 1: Double-checking Solutions  
- Lesson 2: Reviewing Work for Accuracy  
  Module 5, Section 4, Lesson 2: Reviewing Work for Accuracy  

Section 5: Collaborative Problem Solving  
- Lesson 1: Working in Teams  
  Module 5, Section 5, Lesson 1: Working in Teams  
- Lesson 2: Communication Strategies in Problem Solving  
  Module 5, Section 5, Lesson 2: Communication Strategies in Problem Solving