## 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 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 SurveyB