Search Online Courses And Queries About Online Schooling

# 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

Forest Trail Academy Accreditation and Memberships

**Students Say**

## Demi Arthur

“Forest Trail Academy is the BEST school ever, the staff is amazing!! I recently graduated from Forest Trail Academy after going there for 2 years. I went to public school…”## Sarah Kosar

“FTA was a great alternative option for me so far as high school went. I transferred out during my junior year after having a rough time in public high school…”## Audrey Barnett

“Forest Trail Academy has been a blessing to me. I compete in the sport of rodeo across many states, and it takes time and dedication to train and condition both …”## Joshua Lawrence

“FTA gave me HOPE. I don’t have the pressures of exams and trying to keep up with the rest of the class. I get to go over the work as…”## Brittany Wooten

“Hello my name is Brittany Wooten. I graduated from forest trail academy in 2009. I decided to choose fta because I wanted to accelerate my high school education. Fta was …”## Yasmen Wass

“FTA has been a blessing to me!! I didn’t fit in at my old school, i had trouble learning in such a disruptive classroom which meant my grades falling, coming…”## Allison H.

“Thank you Forest Trail Academy for helping my student excel! Placing my high school freshman in your program was the best choice! He works through the program at his pace…”## Katie Bowcutt

“Katie Bowcutt wins title ex-aequo, PKRA Jr World Champion, 2013Freestyle Kiteboarding.Thanks for your support, Forest Trail Academy…”

**READY TO JOIN?**

**GET STARTED TODAY.**