Honors Algebra Two Trigonometry

 Course Syllabus

Course Name: Honors Algebra Two Trigonometry

I Course Information
Course Number: 3321
Level: Honors
Department: Mathematics

II Course Description
Prerequisite: Two Semesters of Honors Geometry
Open to: Freshman, Sophomore, Junior
Length: Year
Credit: 1
Summary: This course is extremely rigorous and fast-paced.  Students should have a very strong algebra and geometry background.  Also, students should be highly motivated and be able to work independently.  This course covers all the topics of College Prep Algebra Two/Trigonometry, but in greater depth.  Additional topics include trigonometry, rational functions, theory of equations, counting techniques and probability.

III Course Goals

1. Students will review the fundamental concepts of algebra.

2. Students will solve, graph, and write equations and inequalities.

3. Students will expand their knowledge of functions and graphs.

4. Students will expand their knowledge of polynomial functions and graph.

5. Students will solve systems of equations and inequalities using matrices.

6. Students will study conics.

7. Students will increase their knowledge about exponential and logarithm functions.

8. Students will study trigonometry.

IV Textbooks and Materials        
Textbook: Larson/Hostetler, Algebra and Trigonometry, Seventh Edition
Material: Paper, Pencils, Notebook/Binder, Graphing Calculator (TI – 83, TI – 84, TI – 83 Plus or TI – 84 Plus)

V  Course Outline

First Semester – Units of Instruction and Assessments

Unit One - Review of Fundamental Concepts

The Real Number System

The Basic Rules of Algebra

Radicals and Rational Exponents

Polynomials and Special Products

Factoring

Fractional Expressions

Unit Two - Algebraic Equations and Inequalities

Linear Equations

Linear Equations and Modeling

Quadratic Equations

The Quadratic Formula

Unit Three - Algebraic Equations and Inequalities Part II

Complex Numbers

Other Types of Equations

Linear Inequalities

Other Types of Inequalities

Unit Four - Functions and Graphs

The Cartesian Plane

Graphs of Equations

Lines in the Plane

Functions

Graphs of Functions

Combinations of Functions

Inverse Functions

Variation and Mathematical Models

Unit Five - Polynomial Functions: Graphs and Zeros

Quadratic Functions

Polynomial Functions of Higher Degree

Polynomial Division and Synthetic Division

Real Zeros of Polynomial Functions

The Fundamental Theorem of Algebra

Unit Six - Rational Functions and Conic Sections

Rational Functions

Major Assessments:
Quizzes: TBA
Tests: Unit 1, Unit 2, Unit 3, Unit 4, Unit 5, Unit 6
Semester One Exam
Misc: Homework, Binder/Notebook, Bellwork

Second Semester Units of Instruction and Assessments:

Unit Seven - Systems of Equations and Inequalities Matrices

Systems of Equations

Systems of Linear

Equations in Two Variables

Linear Systems in More Than Two Variables

Linear Programming

Linear Inequalities

Unit Eight - Conics

Conic Sections

Conic Sections and Translations

Unit Nine - Systems of Equations and Inequalities Matrices

Systems of Equations

Systems of Inequalities

Unit Ten - Exponential and Logarithm Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Exponential and Logarithmic

Unit Eleven - Trigonometry

Angles and Their Measure

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Unit Twelve - Analytic Trigonometry

Applications of Fundamental Identities

Verifying Trigonometric Identities

Sum and Difference Formulas

Multiply-Angle and Product-Sum Formulas

Unit Thirteen - More Trigonometry

Solving Trigonometric Equations

Inverse Trigonometric Functions

Unit Fourteen - Additional Topics in Trigonometry

Law of Sines

Law of Cosines

Major Assessments:
Quizzes: TBA
Tests: Unit 7, Unit 8, Unit 9, Unit 10, Unit 11, Unit 12, Unit 13, Unit 14
Semester Two Exam
Misc: Homework, Binder/Notebook, Bellwork

(Parents and students: please consult individual teachers for grading policies, extra credit info, class procedures, etc.)

For more information about these pages,
contact Mr. David Thieman, Director of Human Resources: dthieman@hfhighschool.org