College Prep Pre-Calculus Course Syllabus

Course Name: College Prep Pre-Calculus                                           

I Course Information
Course Number: 3241
Level: College Prep
Department: Mathematics

II Course Description
Prerequisite: 2 semesters of College Prep Algebra Two Trigonometry
Open to: Freshman, Sophomore, Junior, Senior
Length: Year
Credit: 1
Summary: This course is intended for students who have a strong algebra and trigonometry background.  Students intending to take calculus are encouraged to take this course.  Topics include trigonometric functions, polar coordinates, polynomial functions, rational functions, combinations and permutation, theory of equations, arithmetic and geometric progressions, mathematical induction, and parametric equations.

III Course Goals

1. Students will expand their knowledge of trigonometry.

2. Students will gain knowledge of analytical geometry.

3. Students will increase their knowledge of polynomial and rational functions.

4. Students will be introduced to topics in calculus.

5. Students will develop their knowledge of sequences and probability.

6. If time permits, students will expand their knowledge of exponential and logarithm functions.

IV Textbooks and Materials        
Textbook: Larson/Hostetler, Pre-Calculus, Fourth 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 – Analytic Trigonometry

Unit Circle

Sum and Difference Formulas

Multiple-Angle and Product to Sum Formulas

Unit Two – Analytic Trigonometry Part II

Solving Two-Step Trigonometric Word Problems

Solving Trigonometric Equations

Unit Three – Analytic Trigonometry Part III

Verifying Trigonometric Identities

Using Fundamental Identities

Unit Four – Analytic Trigonometry Part IV

Graphing Trigonometric Functions

Unit Five –  Analytic Geometry

Introduction to Conics: Parabolas

Ellipses

Hyperbolas

Unit Six – Analytic Geometry Part II

Polar Coordinates

Graphs of Polar Equations

Polar Equations of Conics

Unit Seven – Analytic Geometry Part III

Complex Numbers

DeMoiver’s Theorem

Major Assessments:
Quizzes: TBA
Tests: Unit 1, Unit 2, Unit 3, Unit 4, Unit 5, Unit 6, Unit 7
Semester One Exam
Misc: Homework, Binder/Notebook, Bellwork

Second Semester Units of Instruction and Assessments:

Unit Eight – Polynomial and Rational Functions

Quadratic Functions

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

The Fundamental Theorem of Algebra

Unit Nine – Limits and Introduction to Calculus

Rational Functions

Introduction to Limits

Techniques for Evaluating Limits

Limits at Infinity and Limits of Sequences

Unit Ten - Sequences

Sequences and Summation Notation

Arithmetic Sequences

Geometric Sequences

Unit Eleven – The Binomial Theorem

The Binomial Theorem

Unit Twelve - Probability

Counting Principal

Probability

Unit Thirteen – Mathematical Induction

Mathematical Induction

Unit Fourteen – Parameter Equations

Parameter Equations

Unit Fifteen – Exponential and Logarithmic Functions

Properties of Logarithms

Equations with Logs and Exponents

Exponential Growth and Decay

Major Assessments:
Quizzes: TBA
Tests: 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.)

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