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# High School Trigonometry Math Course Outline

## 1.0 Credit

This honors level course will focus on the study of angles; the trigonometry of angles and real numbers; the trigonometric functions and their inverses including their graphs; solutions of right and oblique triangles; verification of fundamental identities and analytic trigonometry; addition, subtraction and multiple angle formulas; the laws of sines and cosines; vectors and the dot and cross product; complex numbers, De Moivre’s Theorem and nth roots of complex numbers; polar coordinates and equations. The course will also include the study of functions including exponential and logarithmic functions.

**TRIGONOMETRIC FUNCTIONS**

- Extend the domain of trigonometric functions using the unit circle.
- Model periodic phenomena with trigonometric functions.
- Prove and apply trigonometric identies.

**THE COMPLEX NUMBER SYSTEM**

- Perform arithmetic operations with complex numbers.
- Represent complex numbers and their operations on the complex plane.
- Use complex numbers in polynomial identies and equations.

**VECTOR & MATRIX QUANTITIES**

- Represent and model with vector quantities.
- Perform operations on vectors.

**SIMILARITY, RIGHT TRIANGLES TRIGONOMETRY**

- Define trigonometric ratios and solve problems involving right triangles.
- Apply trigonometry to general triangles.

1- Introduction

- Introduction
- Course Description
- Pretest
- Assignment: Pretest
- MLA Formatting Word 2007
- MLA Documentation Updates
- MLA Citation
- MLA Incorporating Sources
- Completing Math Assessments

2- Angles & Triangles

- Angles & Angle Measures
- Handout: Angles & Angle Measures Worksheet
- Assignment: Angles & Angle Measures
- Worksheet: Converting Angle Measures
- Triangle Review
- Handout: Triangle Review Worksheet
- Assignment: Triangle Review
- Pythagorean Theorem
- Handout: Pythagorean Theorem Worksheet
- Assignment: Pythagorean Theorem
- Special Right Triangles
- Handout: Special Right Triangles Worksheet
- Assignment: Special Right Triangles
- Basic Trignometric Ratios
- Handout: Basic Trigonometric Ratios Worksheet
- Assignment: Basic Trigonometric Ratios
- Inverse Trigonometric Ratios
- Worksheet: Inverse Trigonometric Ratios
- Laws of Sine & Cosine
- Handout: Law of Sines & Cosines Worksheet
- Assignment: Law of Sines & Cosines
- The Unit Circle
- Handout: Unit Circle
- Handout: Finding Trig Values
- Handout: Evaluating Trig Functions Worksheet
- Assignment: Evaluating Trig Functions

3- Graphs of Trigonometric Functions

- Graphs of Sine & Cosine
- Handout: Graphs of Sine & Cosine Worksheet
- Assignment: Graphs of Sine & Cosine
- Linear & Angular Velocity
- Handout: Linear & Angular Velocity Worksheet
- Assignment: Linear & Angular Velocity
- Graphs of Other Trig Functions
- Handout: Cotangent Graph Exploration
- Assignment: Cotangent Graph Exploration
- Translations of Trig Functions
- Handout: Translations of Trig Functions Worksheet
- Assignment: Translations of Trig Functions
- Applications of Trig Functions
- Handout: Sinusoidal Applications Worksheet
- Essay: Real-World Applications
- Assignment: Sinusoidal Applications

4- Trigonometric Identities

- Fundamental Trigonometric Identities
- Handout: Fundamental Trigonometric Identities Worksheet
- Assignment: Fundamental Trigonometric Identities
- Proving Trigonometric Identities
- Handout: Proving Trig Identities Worksheet
- Assignment: Proving Trig Identities
- Sum & Difference Identities
- Handout: Sum & Difference Identities Worksheet
- Assignment: Sum & Difference Identities
- Essay: Sum & Difference Identities Short Answer
- Double-Angle & Half-Angle Identities
- Handout: Double & Half-Angle Identities Worksheet
- Assignment: Double & Half-Angle Identities
- Essay: Double & Half-Angle Identities Short Answer
- Solving Trigonometric Equations
- Handout: Solving Trig Equations Worksheet
- Assignment: Solving Trig Equations

5- Mid-Term Exam

- Midtest
- Assignment: Midtest
- Handout: Trigonometry Mid-Term Exam
- Assignment: Trigonometry Mid-Term Exam

6- Inverse Trig Functions

- Review: Basic Inverse Trig Functions
- Handout: Inverse Review Worksheet
- Assignment: Inverse Review
- Graphs of Inverse Trig Functions
- Handout: Inverse Trig Graphs Worksheet
- Assignment: Inverse Trig Graphs
- Inverse Trig Properties
- Handout: Inverse Trig Properties Worksheet
- Assignment: Inverse Trig Properties
- Area of Triangles
- Handout: Area of Triangles Worksheet
- Assignment: Area of Triangles

7- Vectors

- Introduction to Vectors
- Handout: Introduction to Vectors Worksheet
- Assignment: Introduction to Vectors
- Geometric Vectors: Adding & Subtracting
- Handout: Geometric Vectors
- Assignment: Geometric Vectors
- Algebraic Vectors
- Handout: Algebraic Vectors Worksheet
- Assignment: Algebraic Vectors

8- The Polar System

- Polar Coordinates
- Handout: Polar Coordinates Worksheet
- Assignment: Polar Coordinates
- Graphing Polar Equations
- Handout: Graphing Polar Equations Worksheet
- Assignment: Graphing Polar Equations
- Polar & Rectangular Coordinates
- Handout: Converting Polar & Rectangular Equations Worksheet
- Worksheet: Converting Polar & Rectangular Coordinates
- Assignment: Converting Polar & Rectangular Equations
- Complex Numbers
- Handout: Operations With Complex Numbers Worksheet
- Assignment: Operations With Complex Numbers
- Polar Form of Complex Numbers
- Handout: Polar Form of Complex Numbers Worksheet
- Assignment: Polar Form of Complex Numbers
- Complex Numbers in Polar Form: Products & Quotients
- Handout: Products & Quotients Worksheet
- Assignment: Products & Quotients
- De Moivre’s Theorem
- Handout: De Moivre’s Theorem Worksheet
- Assignment: De Moivre’s Theorem

9- Final Exam

- Post-test
- Assignment: Post-test
- Handout: Trigonometry Final Exam
- Assignment: Final Exam

10- Course Survey

- Handout: Course Survey
- Assignment: Course Survey

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