District Curriculum Overview

 

Subject:   Mathematics                                  Course:  334 Precalculus Trigonometry - Honors                                        Grade Level: 9 – 12

 

Concepts

Topics/Units

Content/Skills

Essential Activities/Agreements

Understanding and applying radian measure and polar coordinates to problem solving

Angle Measurement

·         Directed angles

·         Radian measure

·         Polar coordinates

·         Sectors: areas and arc lengths

·         Apparent size

 

Understanding trig functions on the unit circle and relating to their graphs and equations

Trigonometric Functions

·         Unit circle, reference angles

·         Six trigonometric functions

·         Graphs of the trig functions

·         Simple trig equations

 

Recognizing when a situation can be modeled by a trig function and determining an equation(s) that can model the situation.

Modeling Trigonometric Functions

·         Amplitude, period, and shifts of the graphs of the trig functions

·         Modeling real life situations with trig functions

 

Use trig relationships to simplify expressions, prove identities, and solve equations.

Trigonometric Equations

·         Reciprocal relationships

·         Negative relationships

·         Cofunctions

·         Pythagorean relationships

·         Trig identities

·         Trig equations

 

Applying concepts to real life situations.  Recognizing when there are multiple or no solutions,

Triangle Trigonometry

·         Right triangle trig

·         Area of a triangle

·         Law of sines

·         Law of cosines

·         Applications

 

Using formulas to simplify expressions, prove identities, and solve equations. Understanding why formulas are necessary and when to use them.

Trigonometric Formulas

·         Sum and difference formulas

·         Double angle formulas

·         Half angle formulas

·         Trig identities

·         Trig equations

Common final exam