- Trigonometry
- Preliminary Content
- Angles in Standard Position (and Related Vocabulary)
- The 6 Trigonometric Ratios; Right Triangle Trigonometry; Applications
- Trigonometric Functions of Special Angles
- Introduction to Radians; Arc Length and Area of a Sector
- Graphing and Writing Trigonometric Functions
- Proving Trig Identities
- Advanced Topics
- Bearings (Applications)
- Vectors
Trigonometry
- Author:
- Tim Brzezinski
Table of Contents
Preliminary Content
- Perpendicular Lines - Quick Intro
- Complementary Angles (Quick Exploration)
- Supplementary Angles (Quick Exploration)
- Isosceles Triangle (Quick Construction Technique) V1
- Equilateral Triangle Construction (Dynamic Illustration)
- Proof Without Words
- Proof Without Words
- Quiz: Pythagorean Theorem (1)
- Quiz: Pythagorean Theorem (2A)
- Quiz: Pythagorean Theorem (2B)
- Simplifying Radicals (I)
- Simplifying Radicals (II)
- Triangle Angle Sum Theorem (V4)
- Animation 171
- Isosceles Right Triangle: Quick Investigation
- Another Special Right Triangle (Guided Discovery)
- Special Right Triangle (II)
- Vertical Angles Exploration (1)
- Naming Angle Positions
- Transversal Intersects Parallel Lines
- Corresponding Angles: Quick Investigation
- Alternate Interior Angles: Quick Investigation
- Alternate Exterior Angles: Quick Investigation
- Same-Side-Interior Angles: Quick Investigation
- Same-Side-Exterior Angles: Quick Investigation
- Similar Figures: Dynamic Illustration
- AA Similarity Theorem
- SSS ~ Theorem (V2)
Angles in Standard Position (and Related Vocabulary)
The 6 Trigonometric Ratios; Right Triangle Trigonometry; Applications
- Right Triangles: Identifying Sides WRT Acute Angles
- Identifying Trig Ratios: Quick Formative Assessment
- Finding Exact Trig Ratios: Quiz Question Generator
- Quiz: Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
- Evaluating Trigonometric Functions of an Angle Given a Point on its Terminal Ray
- Quiz: Quadrant Logic (Trigonometry)
- Trig Quadrant Logic (2)
- Trig Ratio Possibilities?
- Quiz: Evaluating Trigonometric Functions of Angles WITH Quadrant Logic (V1)
- Quiz: Evaluating Trigonometric Functions of Angles WITH Quadrant Logic (V2)
- Right Triangle Generator: Plot 2 Points and Enter an Acute Angle
- Right Triangle Trigonometry: Intro
- Conceptual Illustrations: Trigonometric Ratios within Right Triangles
- Trig Ratio Estimations (Right Triangle Context)
- Trig Ratio Estimations (Quiz: V1)
- Right Triangle Solver: Formative Assessment
- Right Triangle Trigonometry: Solving for Sides (Quiz)
- Quiz: Right Triangle Trig (Solving for Sides)
- Finding Acute Angles of Right Triangles: Using Inverse Trig Functions (Quiz)
- Quiz: Expressing Angles Using Inverse Trigonometric Function
- What "CO" in COsine Means
Trigonometric Functions of Special Angles
- Trig Function Vals (30 deg)
- Trig Function Vals (45 deg)
- Trig Function Vals (60 deg)
- Special Right Triangles: Basic Questions
- Quiz: Special Right Triangles
- Special Angles in Standard Position: Intro (V2)
- Special Angles in Standard Position: Intro (V3)
- Quiz 1: Trigonometric Functions of Special Angles
- Quiz 2: Trigonometric Functions of Special Angles
Introduction to Radians; Arc Length and Area of a Sector
- Circle vs. Sphere
- Circle Terminology
- TRUE MEANING of π
- Circumference = ? (Animation)
- Circumference = ? (Animation II)
- 1 Radian: Clear Definition
- Radian Illustrator
- Quiz: Sketching Angles in Standard Position
- DEG to RAD and RAD to DEG Illustrator
- DEG to RAD and RAD to DEG: Quiz
- Arc length: Quick Investigation
- Parallelogram: Area
- Triangle Area Action!!! (V2)
- Circle Area (By Peeling!)
- Arc Length and Area of a Sector (V1)
- Arc Length and Area of a Sector (V2)
- Area of a Sector
- Angular to Linear: Without Words
- YOUR Linear Speed?
Graphing and Writing Trigonometric Functions
- Unit Circle to Sine and Cosine Functions
- Tangent Function Exploration
- Cotangent Function Exploration
- Transforming Sine and Cosine Functions (1): Dynamic Illustrator
- Transforming Sine and Cosine Functions (2): Dynamic Illustrator
- Graphing Trig Functions (A)
- Writing Trigonometric Functions (A)
- Periodic Function Action!
- Transforming the Sine Function (All Transformations)
- Sine & Cosine Period Action (1)!
- Graphing Sine & Cosine Functions (I)
- Graphing Sine & Cosine Functions (II)
- Modeling with Trigonometric Functions
- Inverse Trig Functions: Intuitive Explorations
Proving Trig Identities
Advanced Topics
Bearings (Applications)
Vectors
- Vectors: Magnitude & Direction (I)
- Scaling Vectors
- Vector Addition
- Quiz: Adding Vectors Geometrically
- Vector Subtraction
- Mystery Scalar Exploration (Part 1)
- Mystery Scalar Exploration (Part 2)
- Mystery Scalar Exploration (Part 3)
- Dot Product Insight
- Orthogonality Illustrated
- Dot Product: Basic Synthesis Questions
- Vector Projections (1)