MATHS-K12-CLASS-12

Trigonometry 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.

Course Outline

Introduction

Course Description

Pretest

Assignment: Pretest

MLA Formatting Word 2007

MLA Documentation Updates

MLA Citation

MLA Incorporating Sources

Completing Math Assessments

Angles & Triangles

Graphs of Trigonometric Functions

Trigonometric Identities

Mid-Term Exam

Inverse Trig Functions

Vectors

The Polar system

Final Exam

Course Survey