Utkast
Trigonometry
Accompanies MATH 115: Trigonometry (CCSU) course.
Innehåll
Preliminary Content
- Perpendicular Lines: Quick Intro
- Complementary Angles Meaning
- Supplementary Angles Meaning
- Isosceles Triangle (Quick Construction Technique) V1
- Equilateral Triangle Construction (Dynamic Illustration)
- Proof Without Words
- Proof Without Words
- Practice: 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 Trig Functions Given a Point on the Terminal Ray
- Quiz: Quadrant Logic (Trig)
- Trig Quadrant Logic (2)
- Trig Ratio Possibilities (Hints)
- Quiz: Evaluating Trig FNS of Angles (Quadrant Logic): V1
- Quiz: Evaluating Trig FNS of Angles WITH Quadrant Logic (V2)
- Right Triangle Generator for Right Triangle Trigonometry
- Right Triangle Trigonometry: Intro
- True Meaning of Sine, Cosine, Tangent Ratios within Right Triangles
- Trig Ratio Estimations (Right Triangle Context)
- Trig Ratio Estimations (Quiz: V1)
- Right Triangle Solver: Formative Assessment
- Right Triangle Trig: Solving for Sides
- Right Triangle Trig: Solving for Sides (2)
- Using Inverse Trig Functions to Find Acute Angles of Right Triangles
- Quiz: Expressing Angles Using Inverse Trigonometric Function
- What "CO" in COsine Means
Trigonometric Functions of Special Angles
- Trig Function Values (30 Degrees)
- Trig Function Values (45 Degrees)
- Trig Function Values (60 Degrees)
- 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
- DEG to RAD and RAD to DEG Illustrator
- DEG to RAD and RAD to DEG: Question Generator
- 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
- Quiz: Graphing Sine & Cosine Functions (Amplitude & Vertical Shift Only)
- Writing Sine and Cosine Functions (with Amplitude & Vertical Shift Changes)
- 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