Mathematical Patterns and Sequences

          Module 1: Fundamentals of Mathematical Patterns

Section 1: What is a Pattern?
- Lesson 1: Introduction to Patterns
  - Module 1, Section 1, Lesson 1 Introduction to Patterns
- Lesson 2: Recognizing Patterns Around You
  - Module 1, Section 1, Lesson 2 Recognizing Patterns Around You

Section 2: Exploring Simple Number Sequences
- Lesson 1: Counting Sequences and Repetition
  - Module 1, Section 2, Lesson 1 Counting Sequences and Repetition
- Lesson 2: Discovering Incremental Patterns
  - Module 1, Section 2, Lesson 2 Discovering Incremental Patterns

Section 3: Patterns in Shapes and Colors
- Lesson 1: Identifying Patterns in Shapes
  - Module 1, Section 3, Lesson 1 Identifying Patterns in Shapes
- Lesson 2: Patterns with Colors and Designs
  - Module 1, Section 3, Lesson 2 Patterns with Colors and Designs

Section 4: Describing and Creating Patterns
- Lesson 1: Using Words to Explain Patterns
  - Module 1, Section 4, Lesson 1 Using Words to Explain Patterns
- Lesson 2: Simple Pattern-Making Activities
  - Module 1, Section 4, Lesson 2 Simple Pattern-Making Activities

Section 5: Basic Pattern Activities and Reflection
- Lesson 1: Hands-On Pattern Exploration
  - Module 1, Section 5, Lesson 1 Hands-On Pattern Exploration
- Lesson 2: Reflecting on What You Learned
  - Module 1, Section 5, Lesson 2 Reflecting on What You Learned


Module 2: Arithmetic Patterns and Sequences

Section 1: Understanding Repetition in Numbers
- Lesson 1: Introduction to Repeating Arithmetic Patterns
  - Module 2, Section 1, Lesson 1 Introduction to Repeating Arithmetic Patterns
- Lesson 2: Exercises in Repetition with Numbers
  - Module 2, Section 1, Lesson 2 Exercises in Repetition with Numbers

Section 2: Addition-Based Patterns
- Lesson 1: Building Patterns Through Addition
  - Module 2, Section 2, Lesson 1 Building Patterns Through Addition
- Lesson 2: Recognizing Addition Sequences
  - Module 2, Section 2, Lesson 2 Recognizing Addition Sequences

Section 3: Subtraction-Based Patterns
- Lesson 1: Creating Patterns by Subtracting
  - Module 2, Section 3, Lesson 1 Creating Patterns by Subtracting
- Lesson 2: Practice with Subtraction Sequences
  - Module 2, Section 3, Lesson 2 Practice with Subtraction Sequences

Section 4: Multiplication Patterns at a Basic Level
- Lesson 1: Introduction to Pattern Multiplication
  - Module 2, Section 4, Lesson 1 Introduction to Pattern Multiplication
- Lesson 2: Simple Multiplicative Sequences
  - Module 2, Section 4, Lesson 2 Simple Multiplicative Sequences

Section 5: Mixed Operations in Patterns
- Lesson 1: Combining Addition and Subtraction
  - Module 2, Section 5, Lesson 1 Combining Addition and Subtraction
- Lesson 2: Fun Exercises with Mixed Arithmetic
  - Module 2, Section 5, Lesson 2 Fun Exercises with Mixed Arithmetic


Module 3: Geometric Patterns and Sequences

Section 1: Identifying Patterns in Basic Geometry
- Lesson 1: Recognizing Patterns in Lines and Angles
  - Module 3, Section 1, Lesson 1 Recognizing Patterns in Lines and Angles
- Lesson 2: Observing Patterns in Simple Shapes
  - Module 3, Section 1, Lesson 2 Observing Patterns in Simple Shapes

Section 2: Counting and Arrangement Patterns
- Lesson 1: Counting Sides and Corners
  - Module 3, Section 2, Lesson 1 Counting Sides and Corners
- Lesson 2: Arranging Shapes in Sequences
  - Module 3, Section 2, Lesson 2 Arranging Shapes in Sequences

Section 3: Introduction to Symmetry
- Lesson 1: Understanding Symmetry in Designs
  - Module 3, Section 3, Lesson 1 Understanding Symmetry in Designs
- Lesson 2: Finding Symmetry in Everyday Objects
  - Module 3, Section 3, Lesson 2 Finding Symmetry in Everyday Objects

Section 4: Visual Pattern Recognition
- Lesson 1: Identifying Repeating Geometric Patterns
  - Module 3, Section 4, Lesson 1 Identifying Repeating Geometric Patterns
- Lesson 2: Exercises in Visual Pattern Matching
  - Module 3, Section 4, Lesson 2 Exercises in Visual Pattern Matching

Section 5: Creating Your Own Geometric Patterns
- Lesson 1: Designing Patterns with Simple Shapes
  - Module 3, Section 5, Lesson 1 Designing Patterns with Simple Shapes
- Lesson 2: Group Activity: Build a Pattern Collage
  - Module 3, Section 5, Lesson 2 Group Activity: Build a Pattern Collage


Module 4: Pattern Relationships and Predicting Sequences

Section 1: Establishing Rules in Patterns
- Lesson 1: How to Identify Pattern Rules
  - Module 4, Section 1, Lesson 1 How to Identify Pattern Rules
- Lesson 2: Practice Setting Rule-Based Patterns
  - Module 4, Section 1, Lesson 2 Practice Setting Rule-Based Patterns

Section 2: Testing, Modifying, and Extending Patterns
- Lesson 1: Experimenting with Changing Patterns
  - Module 4, Section 2, Lesson 1 Experimenting with Changing Patterns
- Lesson 2: Activities in Modifying Sequences
  - Module 4, Section 2, Lesson 2 Activities in Modifying Sequences

Section 3: Predicting the Next Terms
- Lesson 1: Techniques for Prediction in Sequences
  - Module 4, Section 3, Lesson 1 Techniques for Prediction in Sequences
- Lesson 2: Practice Exercises in Predicting Patterns
  - Module 4, Section 3, Lesson 2 Practice Exercises in Predicting Patterns

Section 4: Pattern Games and Interactive Challenges
- Lesson 1: Interactive Games to Understand Sequences
  - Module 4, Section 4, Lesson 1 Interactive Games to Understand Sequences
- Lesson 2: Collaborative Problem-Solving with Patterns
  - Module 4, Section 4, Lesson 2 Collaborative Problem-Solving with Patterns

Section 5: Reflection on Pattern Rules and Predictions
- Lesson 1: Reviewing Strategies for Pattern Identification
  - Module 4, Section 5, Lesson 1 Reviewing Strategies for Pattern Identification
- Lesson 2: Group Discussion: What Makes a Good Pattern?
  - Module 4, Section 5, Lesson 2 Group Discussion: What Makes a Good Pattern?


Module 5: Applying Patterns in the Real World

Section 1: Patterns in Nature
- Lesson 1: Observing Natural Patterns in Plants and Animals
  - Module 5, Section 1, Lesson 1 Observing Natural Patterns in Plants and Animals
- Lesson 2: Discovering Fractals and Repeating Motifs in Nature
  - Module 5, Section 1, Lesson 2 Discovering Fractals and Repeating Motifs in Nature

Section 2: Patterns in Architecture and Design
- Lesson 1: Examining Architectural Patterns
  - Module 5, Section 2, Lesson 1 Examining Architectural Patterns
- Lesson 2: Identifying Patterns in Everyday Structures
  - Module 5, Section 2, Lesson 2 Identifying Patterns in Everyday Structures

Section 3: Visualizing Data Through Patterns
- Lesson 1: Introduction to Graphs and Charts as Patterns
  - Module 5, Section 3, Lesson 1 Introduction to Graphs and Charts as Patterns
- Lesson 2: Creating Simple Data Patterns
  - Module 5, Section 3, Lesson 2 Creating Simple Data Patterns

Section 4: Pattern Art and Creative Expression
- Lesson 1: Exploring Patterns in Art
  - Module 5, Section 4, Lesson 1 Exploring Patterns in Art
- Lesson 2: Designing Your Own Pattern Artwork
  - Module 5, Section 4, Lesson 2 Designing Your Own Pattern Artwork

Section 5: Final Pattern Projects and Review
- Lesson 1: Planning a Pattern Project
  - Module 5, Section 5, Lesson 1 Planning a Pattern Project
- Lesson 2: Presenting and Reflecting on Your Project
  - Module 5, Section 5, Lesson 2 Presenting and Reflecting on Your Project