Áttekintés
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.
Tartalomjegyzék
Basic Geometric Concepts
- Basic Objects
- Exploring Parts of an Angle
- Identifying Angles Around Us
- Measuring Angles
- Radian Measure of Rotational Angles
- 1 Radian: Clear Definition
- Radian Illustrator
- Guess the Radian Measure
- Measuring Angles
- Drawing Angles Game
- Determining Angle Measures Without Tools
- Directional Vectors
- Angles in Standard Position
- Angle Orientations (Standard Position)
- Quiz: Sketching Angles in Standard Position
- 4Q Quiz: Sketching Angles in Standard Position
- Coterminal Angles Action!!!
- Coterminal Angles: Question Generator
- Relationship between area of sector, radius and angle (in degrees) slider version
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)
- Trig Functions as Lengths
- Trigonometric Functions of Special Angles
- The Unit Circle (Part 1)
- Trig Circle Start: Multiples of 30°
- Trig Circle: Coordinates of Special Angle Values
- Trig Reference Circle (2): Choose Your Own Radius
- Special Angles in Standard Position: Intro (V3)
- Quiz: Evaluating Trig FNS of Angles (Quadrant Logic): V1
- Quiz: Evaluating Trig FNS of Angles WITH Quadrant Logic (V2)
- Does R Matter?
- 4Q Quiz: Evaluating Trig FNS of Angles (Quadrant Logic)
- Quiz: Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
Graphing Trigonometric Functions
- Graphing Basic Trig Functions
- Trigonometric Graphs: Cartesian Graph Characteristics
- Graphing Trig Functions of Special Angles
- Transforming Graphs of Trigonometric Functions
- Transforming Graphs of Functions
- 4 Parent Trig Functions
- Modeling with Trigonometric Functions
- Sine and Cosine Equations (Radians)
- Sine and Cosine Equations (Degrees)
- Sum and Difference of Functions
- Product of 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
- Important Trigonometric Limits
Trigonometric Identities
- Trigonometric Identities via Symmetry of the Unit Circle
- Another Popular Trig Identity
- Pythagorean Trigonometric Identity (1)
- Trig Identity via Areas: Dynamic Illustrator
- Trig ID Movie (II)
- Trig Identity via Areas (2): Dynamic Illustrator
- Trig ID Movie (III)
- Cosine and Secant Functions (Special Property)
- Cosine Identity
- Sine Identity
- Tangent Identity
- Trig Identity Shown Graphically
- Trigonometry Angle Sum Identities
- Double and Half Angle Identities
- Double Angle Trig Identity: Proof via Equal Areas
- Trig Identity (4) - Geometric Investigation
- Trig ID: Geometric Investigation
- Trig Identity (3) - Geometric Investigation
- 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!
- A Very Unusual Trig Identity
- Trig Identities from Similar Right Triangles (I)
- Proofs in Trigonometric Identities Practice : Scaffolded with Drag n Drop
- New Trig ID's from Similar Right Triangles (V2)
- New Trig IDs From Similar Right Triangles
- Trig Identities from Similar Right Triangles (II)
- Bizzare Trig Identity?
- Bizzare Trig Identity?
- Double Angle Identity Activity
- Copy of Visual Proof of ASin+BCos Identity
- Trig identities 1
- Adding sinusoidal waves (AI HL 1.13)
Inverse Trigonometric Functions
- Inverse Trigonometric Functions
- Inverse Trig Functions: Intuitive Explorations
- 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)
- Graphing Inverse Trig Functions
Trigonometric Equations and Inequalities
Solving General Triangles
- Law of Sines (& Area)
- Law of Sines (Illustrated)
- Law of Sines: Intro via Areas
- Law of Sines
- Solve Oblique Quick Quiz
- Euclid II 12 The Law Of Cosines Obtuse
- The Law of Cosines
- Law of Cosines: Discovery
- law of cosines (proof)
- Law of Cosines, step-wise proof
- Proof Without Words: Hunger's Law of Cosine Dissection
- Law of Cosines (Circle Proof)
Vectors