Esquema
Trigonometry Collected Resources
A resource covering all aspects of Trigonometry. This collection was my senior project for my degree in Mathematics. I have collected resources that were already out there, a lot of Tim Brezsinski's Trig modules, some from the GeoGebra Content team, and a few others that were exceptional. Then with my faculty advisor, I set out to create some content that I felt was lacking. This resource can be used to learn Trig, teach Trig, or just freshen up or expand your knowledge in the area. This book is a work in progress, and will be added to as I find and/or create new quality stuff.
Tabla de contenidos
Basic Geometric Concepts
Basic Triangle Properties
Triangle Congruence & Similarity
- Triangle Congruence
- SAS Triangle Congruence Exploration Euclidean Geometry
- SAS: Dynamic Proof!
- SAS Triangle Similarity Theorem
- SAS Similarity Theorem: Exploration
- ASA Theorem?
- ASA Triangle Congruence Exploration Euclidean Geometry
- ASA Triangle Congruence Theorem Proof
- Angle-Side-Angle (ASA): Quick Exploration
- SSS Triangle Congruence Exploration Euclidean Geometry
- SSS Triangle Exploration
- SSS ~ Theorem (V1)
- SSS ~ Theorem (V2)
- SSS: Dynamically Illustrated
- AAS Triangle Congruence Exploration Euclidean Geometry
- Angle-Angle-Side (AAS): Quick Exploration
- AAS Triangle Congruence Exploration Euclidean Geometry
- SSA Theorem?
- SSA Triangle Congruence Exploration Euclidean Geometry
- AAA Triangle Exploration Euclidean Geometry
- AA Similarity Theorem
Right Triangle Trigonometry
- Defining the Sine, Cosine, and Tangent
- Special Triangles
- Right Triangle Trig Intro and Exploration (2)
- Right Triangle Trig Intro and Exploration (2)
- "SOH-CAH-TOA" FAILED to Show You This
- Thinking Classroom Exploration: Using Trig Ratios to Solve for Sides of Right Triangles
- Right Triangle Trig Intro and Exploration
- Right Triangle Trig: Solving for Sides
- Right Triangle Trig: Solving for Sides (2)
- Right Triangle Trig: Solving for Sides
- 4Q Quiz: Right Triangle Trig - Solving for Sides
- Basic Trigonometry with a Right Angled Triangle
- Investigating Trigonometry Ratios
- New Trig ID's from Similar Right Triangles (V2)
- New Trig IDs From Similar Right Triangles
- Investigating Trigonometry Ratios
- Definition of Trigonometry
- Trigonometry Tracer
- Trigonometry-Area Formula
- Trigonometry ASTC introduction
- Trigonometry Investigation
- Trig Function Values (30 Degrees)
- Trig Function Values (60 Degrees)
- Trig Function Values (45 Degrees)
- 4Q Quiz: Identifying Trig Ratios
- 4Q Quiz: Identifying Trig Ratios
- Trig Ratio Estimations (Quiz: V2)
Circular Trigonometric Functions
- Circular Trig Functions
- The Unit Circle (Part 1)
- The Unit Circle (Part 2)
- Trigonometry Reference
- Trig Circle Start: Multiples of 30°
- Trig Circle: Coordinates of Special Angle Values
- Unit circle for trigonometry.
- Trig Reference Circle: Choose Your Own Radius
- Trig Reference Circle (2): Choose Your Own Radius
- Trigonometry with unit circle
- Quiz: Quadrant Logic (Trig)
- 4Q Quiz: Quadrant Logic (Trig)
- Trig Quadrant Logic (2)
- Evaluating Trig Functions Given a Point on the Terminal Ray
Graphing Trigonometric Functions
- Graphing Basic Trig Functions
- Open Middle: Graphing Trig Functions Exercise
- Open Middle: Graphing Trig Functions Exercise (2)
- Graphing and Transforming Trigonometry Functions
- Investigating Trigonometry Graph Transformations
- 4 Parent Trig Functions
- Trigonometry function
- The Trigonometry Functions
- Open Middle: Build a Trig Equation (1)
- Open Middle: Build a Trig Equation (2)
- Open Middle: Build a Trig Equation (3)
- Open Middle: Build a Trig Equation (4)
- Open Middle: Build a Trig Equation (5)
- Open Middle: Build a Trig Equation (6)
- Open Middle: Build a Trig Equation (7)
- Open Middle: Build a Trig Equation (8)
- Basic Trig Graphing Open Middle Problem
- Basic Trig Graphing Open Middle Problem
Trigonometric Identities
- Double Angle Trig Identity: Proof via Equal Areas
- Trig Identity Shown Graphically
- Trigonometric identities: Part I
- Trigonometric identities: Part II
- Trigonometric identities: Part III
- Special Trigonometric Identities: Quick Exploration
- Tangent of a Difference: Trig Identity Puzzle + Proof!
- Trig ID Movie (II)
- Trig ID Movie (III)
- Trig Identity (3) - Geometric Investigation
- Trig Identity (4) - Geometric Investigation
- A Very Unusual Trig Identity
- Trig Identities from Similar Right Triangles (I)
- Pythagorean Trigonometric Identity (1)
- Proofs in Trigonometric Identities Practice : Scaffolded with Drag n Drop
- Another Popular Trig Identity
- New Trig ID's from Similar Right Triangles (V2)
- New Trig IDs From Similar Right Triangles
- Trig Identity via Areas (2): Dynamic Illustrator
- Trig Identities from Similar Right Triangles (II)
- Bizzare Trig Identity?
- Trig Identity via Areas: Dynamic Illustrator
- Trig ID: Geometric Investigation
Inverse Trigonometric Functions
- Using Inverse Trig Functions to Express Angle Measures
- Evaluating Inverse Trig Functions of Special Ratios
- 4Q Quiz: Evaluating Inverse Trig Functions of Special Ratios
- 4Q Quiz: Using Inverse Trig Functions to Express Angle Measures
- Compositions of Trig & Inverse Trig Functions (1)
- Evaluating Compositions of Trig & Inverse Trig Functions (2)
- 4Q Quiz: Compositions of Trig & Inverse Trig Functions (1)
- Inverse Trig Functions: Intuitive Explorations
Vectors