1.0 Credit

This course is designed to complete the student’s pre-calculus training as a part of Online High School Course. Topics from trigonometry and higher algebra are reviewed and/or extended. A study of analytic geometry is included. Basic calculus concepts including limits, derivatives, continuity and integrals will be developed. The course is designed for those capable students who have completed Algebra II. Students successfully completing this course with a grade of “C” or higher should be prepared to take Calculus.

1- Introduction
1- Introduction
2- Course Description
3- MLA Formatting Word 2007
4- MLA Documentation Updates
5- MLA Citation
6- MLA Incorporating Sources
7- Completing Math Assessments

2- Linear & Quadratic Functions
1- Lines and Points
2- Three Types of Lines
3- Distance and Midpoint Formulas
4- Slope
5- Sample Problems
6- Linear Equations
7- Perpendicular Bisector
8- Linear Functions
9- Sample Problem 1
10- Sample Problem 2
11- Complex Numbers
12- Quadratic Equations – Factoring
13- Completing the Square
14- Quadratic Formula
15- The Discriminant
16- Quadratic Functions – Graphs
17- More Examples
18- Quadratic Models
Handout: Linear & Quadratic Functions
Assignment: Linear & Quadratic Functions

3- Polynomial Functions 3- Polynomial Functions
1- Polynomials
2- Remainder Factor Theorems
3- Answers To Samples
4- Graphing Polynomials
5- Maximums and Minimums
6- Polynomial Equations
7- Rational Root Theorem
8- Theorems for Polynomials
Handout: Polynomial Functions Worksheet
Assignment: Polynomial Functions

4- Inequalities
1- Linear inequalities
2- Absolute Value
3- Polynomial Inequalities
4- Method Two
5- Polynomial Inequalities in Two Variables
6- Sample Problems
7- Sample Problems II
8- Linear Programming
9- Sample problem
10- Sample Problem II
11- Sample III
Handout: Inequalities Worksheet
Assignment: Inequalities

5- Functions
1- Functions
2- Operations on Functions
3- Sample Problems
4- Example Problems
5- Reflections
6- Symmetry
7- Graphing Problems
8- Stretching and Translating
9- Stretching or Shrinking
10- Translating Graphs
11- Inverse Functions
12- Graphs of inverse functions
13- Functions of Two Variables
Handout: Functions
Assignment: Functions

6- Exponents and Logarithms
1- Integral Exponents
2- Continued
3- Rational Exponents
4- Exponential Functions
5- Rule of 72
6- The number e and the function ex
7- Compound Interest Formula
8- Problems
9- Logarithmic Functions
10- Simple Log Equations
11- Laws
12- Single Logs
13- Base Formula
14- Solving Exponential Equations
Handout: Exponents & Logarithms
Assignment: Exponents and Logarithms

7- Analytic Geometry
1- Equations of Circles
2- Sample Problems
3- Ellipses
4- Sample Problems
5- Hyperbolas
6- Sample Problems
7- Translations of Hyperbolas
8- Parabolas
9- Translations of the parabola
10- Second-Degree Equations
Essay: Hyperbolas, Asymptotes & Factoring

8- Trigonometric Functions
1- Measurement of Angles
2- Sine and Cosine Functions
3- Quadrant points
4- Evaluating and Graphing
5- Reference Angles
6- Four Other Trig Functions
7- Graphs
8- Secant graph
9- Inverse Trig Functions
10- Calculator problems
Worksheet: Converting Angle Measures
Essay: Right Triangle Trigonometry

9- Trigonometric Equations
1- Trigonometric Equations
2- Inclination and slope
3- Sine and Cosine Curves
4- Equation from the Graph
5- Translations
6- Graphing Examples
7- More Graphing Examples
8- Relationships with Functions
9- Simplifying trig expressions
10- Proving Identities
11- Difficult Trig Equations
12- Continued
Handout: Trig Equations & Applications
Assignment: Trig Equations and Applications

10- Triangle Trigonometry
1- Solving Right Triangles
2- Continued
3- Area of a Triangle
4- Sample Problems
5- Law of Sines
6- Sample Problems
7- Ambiguous Case (SSA)
8- Law of Cosines
9- Sample Problems
10- Navigation and Surveying
11- Surveying
Handout: Triangle Trigonometry
Assignment: Triangle Trignometry

11- Trigonometry Formulas
1- Formulas for Cos(a + b)
2- Formulas for tan(a + b)
3- Double and half-angle formulas
4- Sample Problems
5- Solving Trig Equations
6- Continued
Handout: Trigonometric Formulas
Assignment: Trigonometric Formulas

12- Polar Coordinates & Complex Numbers
1- Polar Coordinates
2- Sketching Graphs In Polar Form
3- Geometric and Trigonometric Representation Of Complex Numbers
4- Powers of Complex Numbers
5- Roots of Complex Numbers
Handout: Polar Coordinates
Assignment: Polar Coordinates

13- Sequences and Series
1- Arithmetic & Geometric Sequences
2- Sample Problems
3- Recursive Definitions
4- Arithmetic and Geometric Series
5- Limits of Infinite Sequences
6- Sums of Infinite Series
7- Sigma Notation
8- Mathematical Induction
Essay: Sequences & Series

14- Limits and Graphs of Rational Functions
1- Limits of Functions
2- Quotient theorem
3- Continuous vs. Discontinuous
4- Graphing Rational functions
5- Sample Questions
Handout: Limits Worksheet
Assignment: Limits

15- Introduction to Calculus
1- Average Rate of Change
2- Exact Rate of Change
3- Problems to Try
4- Derivatives in Curve Sketching
5- Sample Problems
6- Extreme value problems
7- Velocity and Acceleration
8- Sample Problems

16- Basic Calculus
1- Derivatives of Products
2- The Chain Rule
3- Exponential and Log Derivatives
4- Integration
5- Areas
6- Sample Problems
Handout: Basic Calculus Worksheet
Assignment: Basic Calculus

17- Course Survey
Handout: Course Survey
Assignment: Course Survey