Geometry and Proofs

          Module 1: Foundations of Geometry

Section 1: Points, Lines, and Planes  
- Lesson 1: Understanding Points  
  - Module 1, Section 1, Lesson 1: Understanding Points  
- Lesson 2: Exploring Lines  
  - Module 1, Section 1, Lesson 2: Exploring Lines

Section 2: Angles and Measurement  
- Lesson 1: Introduction to Angles  
  - Module 1, Section 2, Lesson 1: Introduction to Angles  
- Lesson 2: Measuring Angles  
  - Module 1, Section 2, Lesson 2: Measuring Angles

Section 3: Basic Terminology and Notations  
- Lesson 1: Key Geometric Terms  
  - Module 1, Section 3, Lesson 1: Key Geometric Terms  
- Lesson 2: Understanding Geometric Notation  
  - Module 1, Section 3, Lesson 2: Understanding Geometric Notation

Section 4: The Basics of Triangles  
- Lesson 1: Triangle Properties  
  - Module 1, Section 4, Lesson 1: Triangle Properties  
- Lesson 2: Classifying Triangles  
  - Module 1, Section 4, Lesson 2: Classifying Triangles

Section 5: Introduction to Reasoning in Geometry  
- Lesson 1: Logical Statements in Geometry  
  - Module 1, Section 5, Lesson 1: Logical Statements in Geometry  
- Lesson 2: Simple Proof Concepts  
  - Module 1, Section 5, Lesson 2: Simple Proof Concepts


Module 2: Basic Geometric Shapes

Section 1: Triangles Deep Dive  
- Lesson 1: Exploring Triangle Congruence  
  - Module 2, Section 1, Lesson 1: Exploring Triangle Congruence  
- Lesson 2: Angle Sum of Triangles  
  - Module 2, Section 1, Lesson 2: Angle Sum of Triangles

Section 2: Quadrilaterals  
- Lesson 1: Understanding Quadrilaterals  
  - Module 2, Section 2, Lesson 1: Understanding Quadrilaterals  
- Lesson 2: Properties of Parallelograms  
  - Module 2, Section 2, Lesson 2: Properties of Parallelograms

Section 3: Circles and Arcs  
- Lesson 1: Circle Terminology  
  - Module 2, Section 3, Lesson 1: Circle Terminology  
- Lesson 2: Relationships: Arcs and Chords  
  - Module 2, Section 3, Lesson 2: Relationships: Arcs and Chords

Section 4: Polygons  
- Lesson 1: Types of Polygons  
  - Module 2, Section 4, Lesson 1: Types of Polygons  
- Lesson 2: Interior and Exterior Angles  
  - Module 2, Section 4, Lesson 2: Interior and Exterior Angles

Section 5: Symmetry  
- Lesson 1: Line Symmetry  
  - Module 2, Section 5, Lesson 1: Line Symmetry  
- Lesson 2: Rotational Symmetry  
  - Module 2, Section 5, Lesson 2: Rotational Symmetry


Module 3: Introduction to Geometric Proofs

Section 1: Understanding Proofs  
- Lesson 1: What is a Proof?  
  - Module 3, Section 1, Lesson 1: What is a Proof?  
- Lesson 2: Proof Terminology  
  - Module 3, Section 1, Lesson 2: Proof Terminology

Section 2: Two-Column Proofs  
- Lesson 1: Introduction to Two-Column Proofs  
  - Module 3, Section 2, Lesson 1: Introduction to Two-Column Proofs  
- Lesson 2: Constructing Statements  
  - Module 3, Section 2, Lesson 2: Constructing Statements

Section 3: Paragraph Proofs  
- Lesson 1: Elements of a Paragraph Proof  
  - Module 3, Section 3, Lesson 1: Elements of a Paragraph Proof  
- Lesson 2: Drawing Logical Connections  
  - Module 3, Section 3, Lesson 2: Drawing Logical Connections

Section 4: Proof Strategies  
- Lesson 1: Deductive Reasoning in Proofs  
  - Module 3, Section 4, Lesson 1: Deductive Reasoning in Proofs  
- Lesson 2: Working Through Examples  
  - Module 3, Section 4, Lesson 2: Working Through Examples

Section 5: Common Theorems  
- Lesson 1: Theorems on Triangles  
  - Module 3, Section 5, Lesson 1: Theorems on Triangles  
- Lesson 2: Theorems on Angles  
  - Module 3, Section 5, Lesson 2: Theorems on Angles


Module 4: Spatial Reasoning and Logic

Section 1: Patterns and Relationships  
- Lesson 1: Recognizing Patterns in Geometry  
  - Module 4, Section 1, Lesson 1: Recognizing Patterns in Geometry  
- Lesson 2: Applying Patterns to Proofs  
  - Module 4, Section 1, Lesson 2: Applying Patterns to Proofs

Section 2: Logical Puzzles  
- Lesson 1: Introduction to Logical Puzzles  
  - Module 4, Section 2, Lesson 1: Introduction to Logical Puzzles  
- Lesson 2: Solving Geometric Puzzles  
  - Module 4, Section 2, Lesson 2: Solving Geometric Puzzles

Section 3: Coordinate Geometry Basics  
- Lesson 1: Plotting Points on a Plane  
  - Module 4, Section 3, Lesson 1: Plotting Points on a Plane  
- Lesson 2: Navigating the Coordinate Plane  
  - Module 4, Section 3, Lesson 2: Navigating the Coordinate Plane

Section 4: Transformations  
- Lesson 1: Understanding Translations  
  - Module 4, Section 4, Lesson 1: Understanding Translations  
- Lesson 2: Reflections and Rotations  
  - Module 4, Section 4, Lesson 2: Reflections and Rotations

Section 5: Constructing Figures  
- Lesson 1: Using a Compass and Ruler  
  - Module 4, Section 5, Lesson 1: Using a Compass and Ruler  
- Lesson 2: Constructing Common Shapes  
  - Module 4, Section 5, Lesson 2: Constructing Common Shapes


Module 5: Applications of Geometry

Section 1: Geometry in Architecture  
- Lesson 1: Elements of Architectural Design  
  - Module 5, Section 1, Lesson 1: Elements of Architectural Design  
- Lesson 2: Using Geometry in Building Plans  
  - Module 5, Section 1, Lesson 2: Using Geometry in Building Plans

Section 2: Geometry in Nature  
- Lesson 1: Recognizing Patterns in Nature  
  - Module 5, Section 2, Lesson 1: Recognizing Patterns in Nature  
- Lesson 2: Symmetry in Living Organisms  
  - Module 5, Section 2, Lesson 2: Symmetry in Living Organisms

Section 3: Real-World Proof Challenges  
- Lesson 1: Solving Practical Geometric Problems  
  - Module 5, Section 3, Lesson 1: Solving Practical Geometric Problems  
- Lesson 2: Analyzing Structural Designs  
  - Module 5, Section 3, Lesson 2: Analyzing Structural Designs

Section 4: Project-Based Learning  
- Lesson 1: Designing a Geometric Project  
  - Module 5, Section 4, Lesson 1: Designing a Geometric Project  
- Lesson 2: Presenting and Explaining Your Project  
  - Module 5, Section 4, Lesson 2: Presenting and Explaining Your Project

Section 5: Review and Consolidation  
- Lesson 1: Review of Key Concepts  
  - Module 5, Section 5, Lesson 1: Review of Key Concepts  
- Lesson 2: Final Project Overview and Reflection  
  - Module 5, Section 5, Lesson 2: Final Project Overview and Reflection