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 SurveyB