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

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