Table of Contents

1. Unit Circle/ Laws
   1. The Unit Circle
   2. Unit Circle - Identifying Coordinates for Important Angles
   3. Unit Circle
   4. Unwrapping a Circle
   5. Unwrapping the Unit Circle
   6. Sine an Cosine Components
   7. law of cosines (proof)
   8. law of sines (proof)
   9. Law of sines-ambiguous case
2. Preliminary Content
   1. Perpendicular Lines: Quick Intro
   2. Complementary Meaning?
   3. Supplementary Angles (Quick Exploration)
   4. Isosceles Triangle (Quick Construction Technique) V1
   5. Equilateral Triangle Construction (Dynamic Illustration)
   6. Proof Without Words
   7. Proof Without Words
   8. Practice: Pythagorean Theorem (1)
   9. Quiz: Pythagorean Theorem (2A)
   10. Quiz: Pythagorean Theorem (2B)
   11. Simplifying Radicals (I)
   12. Simplifying Radicals (II)
   13. Triangle Angle Sum Theorem (V4)
   14. Animation 171
   15. Isosceles Right Triangle: Quick Investigation
   16. Another Special Right Triangle (Guided Discovery)
   17. Special Right Triangle (II)
   18. Vertical Angles Exploration (1)
   19. Naming Angle Positions
   20. Transversal Intersects Parallel Lines
   21. Corresponding Angles: Quick Investigation
   22. Alternate Interior Angles: Quick Investigation
   23. Alternate Exterior Angles: Quick Investigation
   24. Same-Side-Interior Angles: Quick Investigation
   25. Same-Side-Exterior Angles: Quick Investigation
   26. Similar Figures: Dynamic Illustration
   27. AA Similarity Theorem
   28. SSS ~ Theorem (V2)
3. Angles in Standard Position (and Related Vocabulary)
   1. Angles in Standard Position
   2. Angle Orientations (Standard Position)
   3. Coterminal Angles Action!!!
4. The 6 Trigonometric Ratios; Right Triangle Trigonometry; Applications
   1. Right Triangles: Identifying Sides WRT Acute Angles
   2. Identifying Trig Ratios: Quick Formative Assessment
   3. Finding Exact Trig Ratios: Quiz Question Generator
   4. Quiz: Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
   5. Evaluating Trig Functions Given a Point on the Terminal Ray
   6. Quiz: Quadrant Logic (Trig)
   7. Trig Quadrant Logic (2)
   8. Trig Ratio Possibilities (Hints)
   9. Quiz: Evaluating Trig FNS of Angles (Quadrant Logic): V1
   10. Quiz: Evaluating Trig FNS of Angles WITH Quadrant Logic (V2)
   11. Right Triangle Generator for Right Triangle Trigonometry
   12. Right Triangle Trigonometry: Intro
   13. True Meaning of Sine, Cosine, Tangent Ratios within Right Triangles
   14. Trig Ratio Estimations (Right Triangle Context)
   15. Trig Ratio Estimations (Quiz: V1)
   16. Right Triangle Solver: Formative Assessment
   17. Right Triangle Trig: Solving for Sides
   18. Right Triangle Trig: Solving for Sides (2)
   19. Using Inverse Trig Functions to Find Acute Angles of Right Triangles
   20. Quiz: Expressing Angles Using Inverse Trigonometric Function
   21. What "CO" in COsine Means
5. Trigonometric Functions of Special Angles
   1. Trig Function Values (30 Degrees)
   2. Trig Function Values (45 Degrees)
   3. Trig Function Values (60 Degrees)
   4. Special Right Triangles: Basic Questions
   5. Quiz: Special Right Triangles
   6. Special Angles in Standard Position: Intro (V2)
   7. Special Angles in Standard Position: Intro (V3)
   8. Quiz 1: Trigonometric Functions of Special Angles
   9. Quiz 2: Trigonometric Functions of Special Angles
6. Introduction to Radians; Arc Length and Area of a Sector
   1. Circle vs. Sphere
   2. Circle Terminology
   3. TRUE MEANING of π
   4. Circumference = ? (Animation)
   5. Circumference = ? (Animation II)
   6. 1 Radian: Clear Definition
   7. Radian Illustrator
   8. Quiz: Sketching Angles in Standard Position
   9. DEG to RAD and RAD to DEG Illustrator
   10. DEG to RAD and RAD to DEG: Question Generator
   11. Arc length: Quick Investigation
   12. Parallelogram: Area
   13. Triangle Area Action!!! (V2)
   14. Circle Area (By Peeling!)
   15. Arc Length and Area of a Sector (V1)
   16. Arc Length and Area of a Sector (V2)
   17. Area of a Sector
   18. Angular to Linear: Without Words
   19. YOUR Linear Speed?
7. Graphing and Writing Trigonometric Functions
   1. Unit Circle to Sine and Cosine Functions
   2. Tangent Function Exploration
   3. Cotangent Function Exploration
   4. Transforming Sine and Cosine Functions (1): Dynamic Illustrator
   5. Transforming Sine and Cosine Functions (2): Dynamic Illustrator
   6. Quiz: Graphing Sine & Cosine Functions (Amplitude & Vertical Shift Only)
   7. Writing Sine and Cosine Functions (with Amplitude & Vertical Shift Changes)
   8. Periodic Function Action!
   9. Transforming the Sine Function (All Transformations)
   10. Sine & Cosine Period Action (1)!
   11. Graphing Sine & Cosine Functions (I)
   12. Graphing Sine & Cosine Functions (II)
   13. Modeling with Trigonometric Functions
   14. Inverse Trig Functions: Intuitive Explorations
8. Proving Trig Identities
   1. New Trig IDs From Similar Right Triangles
   2. New Trig ID's from Similar Right Triangles (V2)
   3. Trig Identity via Areas: Dynamic Illustrator
   4. Trig Identity via Areas (2): Dynamic Illustrator
   5. Trig ID: Geometric Investigation
9. Advanced Topics
   1. Special Trigonometric Identities: Quick Exploration
   2. Law of Sines (& Area)
   3. SSA Theorem?
   4. Ambiguous Case (SSA) Illustrator: All Cases
   5. Law of Cosines: Discovery
   6. Law of Cosines: Open Middle Problem (V1)
   7. Open Middle Problem: Law of Cosines (V2)
10. Bearings (Applications)
    1. Bearing Illustrator (1)
    2. Bearing: Dynamic Illustration
    3. Bearing Illustrator (2)
    4. Bearings: Dynamic Illustrator
11. Vectors
    1. Vectors: Magnitude & Direction (I)
    2. Scaling Vectors
    3. Vector Addition
    4. Quiz: Adding Vectors Geometrically
    5. Vector Subtraction
    6. Dot Product Insight
    7. Orthogonality Illustrated
    8. Dot Product: Basic Synthesis Questions
    9. Vector Projections (1)
    10. Quality Info?
    11. Vector Magnitude from Components
    12. Magnitude and Direction (Intro)
    13. Pac Man: Vector Components
12. Dot Product Discovery Lesson
    1. Mystery Scalar Exploration (Part 1)
    2. Mystery Scalar Exploration (Part 1)
    3. Mystery Scalar Exploration (Part 3)
    4. Mystery Scalar Exploration (Part 4)
    5. Mystery Scalar Exploration (Part 5)
    6. Mystery Scalar Exploration (Part 6)
    7. Mystery Scalar Exploration (Part 7)
    8. Mystery Scalar Exploration (Part 8)
    9. Mystery Scalar Exploration (Part 9)