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High School Trigonometry Math Course Outline

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
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