Trigonometry Syllabus

Angel Website:  http://pcps.myelearning.org/frameIndex.htm
Angela Schmit's Website:  http://manila.esu4.org/angelaschmit/

Course Syllabus

Description of Course

Prerequisites

• Algebra II (one full academic year)

The Objectives of the Course

Texts

Explanation of Instruction

• Lecture and discussion every day.
• Quizzes every two or three lessons.
• Tests after every unit.
• Spelling/Writing assignments as needed.
• Angel Website--On-Line Learning
  

Visual Aids, Utilized Films, Film Strips, Etc.

• Marker board
• Calculators (Texas Instruments--TI 83, TI 85, and TI 92) provided by the school district
• Computer Software/Technology
• Supplementary Workbooks

Units and Contents

Chapter 1:  Linear and Quadratic Functions

• Points and Lines
• Slopes of Lines
• Finding Equations of Lines
• Linear Functions and Models
• The Complex Numbers
• Solving Quadratic Equations
• Quadratic Functions and Their Graphs

Chapter 2:  Polynomial Functions

• Polynomials
• Synthetic Division; The Remainder and Factor Theorems
• Graphing Polynomial Functions
• Finding Maximums and Minimums of Polynomial Functions
• Using Technology to Approximate Roots of Polynomial Equations
• Finding Polynomial Equations by Factoring

Chapter 3:  Inequalities

• Linear Inequalities; Absolute Value
• Polynomial Inequalities in One Variable
• Polynomial Inequalities in Two Variables

Chapter 4:  Functions

• Functions
• Operations on Functions
• Reflecting Graphs; Symmetry
• Periodic Functions; Stretching and Translating Graphs
• Inverse Functions
• Functions of Two Variables
• Forming Functions from Verbal Descriptions

Chapter 5:  Exponents and Logarithms

• Growth and Decay:  Integral Exponents
• Growth and Decay:  Rational Exponents
• Exponential Functions
• The Number e and the Function e^x
• Logarithmic Functions
• Laws of Logarithms
• Exponential Equations; Changing Bases

Chapter 6:  Analytic Geometry

• Coordinate Proofs
• Equations of Circles
• Ellipses
• Hyperbolas
• Parabolas
• Systems of Second Degree Equations
• A New Look at Conic Sections

Chapter 7:  Trigonometric Functions

• Measurement of Angles
• Sectors of Circles
• The Sine and Cosine Functions
• Evaluating and Graphing Sine and Cosine
• The Other Trigonometric Functions
• The Inverse Trigonometric Functions

Chapter 8:  Trigonometric Equations and Applications

• Simple Trigonometric Equations
• Sine and Cosine Curves
• Modeling Periodic Behavior
• Relationships Among the Functions
• Solving More Difficult Trigonometric Equations

Chapter 9:  Triangle Trigonometry

• Solving Right Triangles
• The Area of a Triangle
• The Law of Sines
• The Law of Cosines

Chapter 10:  Trigonometric Addition Formulas

• Formulas for sin (alpha + beta) and cos (alpha + beta) 
• Formulas for tan (alpha + beta)
• Double-Angle and Half-Angle Formulas
• Solving Trigonometric Equations

Chapter 11:  Polar Coordinates and Complex Numbers

Chapter 12:  Vectors and Determinants

Chapter 13:  Sequences and Series

Chapter 14:  Trigonometric Applications

Chapter 15:  Combinatorics

Chapter 16:  Probability

Chapter 17:  Statistics

Chapter 18:  Curve Fitting and Models

Chapter 19:  Limits, Series, and Iterated Functions

Chapter 20:  An Introduction to Calculus

This Page was last update: Monday, June 5, 2006 at 11:30:56 AM
This page was originally posted: 5/31/2006; 2:15:06 PM.
Copyright 2008 Pawnee City Schools

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