## 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**

1- Introduction

2- Course Description

3- Pretest

Assignment: Pretest

4- MLA Formatting Word 2007

5- MLA Documentation Updates

6- MLA Citation

7- MLA Incorporating Sources

8- Completing Math Assessments

**2- Angles & Triangles**

1- Angles & Angle Measures

Handout: Angles & Angle Measures Worksheet

Assignment: Angles & Angle Measures

Worksheet: Converting Angle Measures

2- Triangle Review

Handout: Triangle Review Worksheet

Assignment: Triangle Review

3- Pythagorean Theorem

Handout: Pythagorean Theorem Worksheet

Assignment: Pythagorean Theorem

4- Special Right Triangles

Handout: Special Right Triangles Worksheet

Assignment: Special Right Triangles

5- Basic Trignometric Ratios

Handout: Basic Trigonometric Ratios Worksheet

Assignment: Basic Trigonometric Ratios

6- Inverse Trigonometric Ratios

Worksheet: Inverse Trigonometric Ratios

7- Laws of Sine & Cosine

Handout: Law of Sines & Cosines Worksheet

Assignment: Law of Sines & Cosines

8- The Unit Circle

Handout: Unit Circle

Handout: Finding Trig Values

Handout: Evaluating Trig Functions Worksheet

Assignment: Evaluating Trig Functions

**3- Graphs of Trigonometric Functions**

1- Graphs of Sine & Cosine

Handout: Graphs of Sine & Cosine Worksheet

Assignment: Graphs of Sine & Cosine

2- Linear & Angular Velocity

Handout: Linear & Angular Velocity Worksheet

Assignment: Linear & Angular Velocity

3- Graphs of Other Trig Functions

Handout: Cotangent Graph Exploration

Assignment: Cotangent Graph Exploration

4- Translations of Trig Functions

Handout: Translations of Trig Functions Worksheet

Assignment: Translations of Trig Functions

5- Applications of Trig Functions

Handout: Sinusoidal Applications Worksheet

Essay: Real-World Applications

Assignment: Sinusoidal Applications

**4- Trigonometric Identities**

1- Fundamental Trigonometric Identities

Handout: Fundamental Trigonometric Identities Worksheet

Assignment: Fundamental Trigonometric Identities

2- Proving Trigonometric Identities

Handout: Proving Trig Identities Worksheet

Assignment: Proving Trig Identities

3- Sum & Difference Identities

Handout: Sum & Difference Identities Worksheet

Assignment: Sum & Difference Identities

Essay: Sum & Difference Identities Short Answer

4- Double-Angle & Half-Angle Identities

Handout: Double & Half-Angle Identities Worksheet

Assignment: Double & Half-Angle Identities

Essay: Double & Half-Angle Identities Short Answer

5- Solving Trigonometric Equations

Handout: Solving Trig Equations Worksheet

Assignment: Solving Trig Equations

**5- Mid-Term Exam**

1- Midtest

Assignment: Midtest

Handout: Trigonometry Mid-Term Exam

Assignment: Trigonometry Mid-Term Exam

**6- Inverse Trig Functions**

1- Review: Basic Inverse Trig Functions

Handout: Inverse Review Worksheet

Assignment: Inverse Review

2- Graphs of Inverse Trig Functions

Handout: Inverse Trig Graphs Worksheet

Assignment: Inverse Trig Graphs

3- Inverse Trig Properties

Handout: Inverse Trig Properties Worksheet

Assignment: Inverse Trig Properties

4- Area of Triangles

Handout: Area of Triangles Worksheet

Assignment: Area of Triangles

**7- Vectors**

1- Introduction to Vectors

Handout: Introduction to Vectors Worksheet

Assignment: Introduction to Vectors

2- Geometric Vectors: Adding & Subtracting

Handout: Geometric Vectors

Assignment: Geometric Vectors

3- Algebraic Vectors

Handout: Algebraic Vectors Worksheet

Assignment: Algebraic Vectors

**8- The Polar System**

1- Polar Coordinates

Handout: Polar Coordinates Worksheet

Assignment: Polar Coordinates

2- Graphing Polar Equations

Handout: Graphing Polar Equations Worksheet

Assignment: Graphing Polar Equations

3- Polar & Rectangular Coordinates

Handout: Converting Polar & Rectangular Equations Worksheet

Worksheet: Converting Polar & Rectangular Coordinates

Assignment: Converting Polar & Rectangular Equations

4- Complex Numbers

Handout: Operations With Complex Numbers Worksheet

Assignment: Operations With Complex Numbers

5- Polar Form of Complex Numbers

Handout: Polar Form of Complex Numbers Worksheet

Assignment: Polar Form of Complex Numbers

6- Complex Numbers in Polar Form: Products & Quotients

Handout: Products & Quotients Worksheet

Assignment: Products & Quotients

7- De Moivre’s Theorem

Handout: De Moivre’s Theorem Worksheet

Assignment: De Moivre’s Theorem

**9- Final Exam**

1- Post-test

Assignment: Post-test

Handout: Trigonometry Final Exam

Assignment: Final Exam

**10- Course Survey**

Handout: Course Survey

Assignment: Course Survey

Call 800.890.6269 / 561.537.5501