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, Dr. Jack Jackson, I set out to create some content that I felt was lacking. This resource can be used to learn Trigonometry, teach Trigonometry, or just freshen up or expand your knowledge in the area.
Tabla de contenidos
Basic Geometric Concepts
Basic Triangle Properties
Triangle Congruence & Similarity
- Triangle Congruence
- SAS Triangle Congruence Exploration Euclidean Geometry
- SAS: Dynamic Proof!
- ASA Triangle Congruence Exploration Euclidean Geometry
- Angle-Side-Angle (ASA): Quick Exploration
- ASA Theorem?
- ASA Triangle Congruence Theorem Proof
- AAS Triangle Congruence Exploration Euclidean Geometry
- Angle-Angle-Side (AAS): Quick Exploration
- SSS Triangle Congruence Exploration Euclidean Geometry
- SSS Triangle Exploration
- SSS ~ Theorem (V1)
- SSS ~ Theorem (V2)
- SSS: Dynamically Illustrated
- SSA Triangle Congruence Exploration Euclidean Geometry
- SSA Theorem?
- AAA Triangle Exploration Euclidean Geometry
- AA Similarity Theorem
- SAS Triangle Similarity Theorem
- SAS Similarity Theorem: Exploration
- SSS Triangle Similarity Theorem
- 2 Noncongruent Triangles with 5 Congruent Parts
Right Triangle Trigonometry
- Pythagorean Theorem
- Pythagorean Animation
- Pythagorean Theorem Animation
- Calculating Side Lengths in Right Triangles
- Calculating Distance Between Two Points on a Map
- Defining the Sine, Cosine, and Tangent
- "SOH-CAH-TOA" FAILED to Show You This
- Basic Trigonometry with a Right Angled Triangle
- Trig Functions without a Calculator
- Trigonometric Ratios in Right Triangles
- Trig Values Quiz
- Special 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
- New Trig ID's from Similar Right Triangles (V2)
- New Trig IDs From Similar Right Triangles
- Trigonometry-Area Formula
- Trigonometry ASTC introduction
- Trigonometry Investigation
- 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)
- Solving Right Triangles
Circular Trigonometric Functions
- Circular Trig Functions
- Evaluating Trig Functions Given a Point on the Terminal Ray
- Trig Values Quiz
- Quiz: Quadrant Logic (Trig)
- 4Q Quiz: Quadrant Logic (Trig)
- Trig Quadrant Logic (2)
- The Unit Circle (Part 2)
- Trig Circle Start: Multiples of 30°
- Trig Circle: Coordinates of Special Angle Values
- The Unit Circle (Part 1)
- Trig Reference Circle (2): Choose Your Own Radius
Graphing Trigonometric Functions
- Graphing Basic Trig Functions
- Trigonometric Graphs: Cartesian Graph Characteristics
- Transforming Graphs of Trigonometric Functions
- 4 Parent Trig Functions
- Open Middle: Graphing Trig Functions Exercise
- Open Middle: Graphing Trig Functions Exercise (2)
- 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