Mathematics Course Offerings

Pre-Algebra

I. Course Title: Pre-Algebra 2 Semesters 2 Credits

II. Course Description:

Students will learn the basics of Algebra as a preparation for future math classes they will take. Students will learn how to solve problems using variables and equations. Many different techniques will be taught on how to solve these equations. The techniques learned on solving problems will be the main skills necessary to move on in our math curriculum.

III. Prerequisites: 8th Grade Math

IV. Units/Lessons

· Variables

· Solving Equations

· Positive & Negative Numbers

· Formulas

· Working with Polynomials

· Factoring

· Graphs

· Equations with two Variables

· Working with Fractions

· Decimals & Percents

· Squares & Square Roots

· Quadratic Equations

Pre-Geometry

I. Course Title: Pre-Geometry: 2 Semesters 2 Credits

II. Course Description:

This is the second in a series of three general mathematics courses. It is designed to provide the basic geometric principles, give students practice in applying general problem solving techniques, and apply both algebraic and geometric concepts and skills to a variety of areas. Students will have an opportunity to become better problem solvers and make connections allowing these skills to be used in real-life application.

III. Prerequisites: Pre-Algebra.

IV. Units/Lessons :

· Chapter 1: Points, Lines, and Angles

· Chapter 2: Introduction to Proofs

· Chapter 3: Triangles

· Chapter 4: Using Congruent Triangles

· Chapter 5: Polygons

· Chapter 6: Areas

· Chapter 7: Ratios and Proportions

· Chapter 8: Similar Polygons

· Chapter 9: Circles

· Chapter 10: Areas and Volumes of Solids

· Chapter 11: Right Triangles

· Chapter 12: Coordinate Geometry

Algebra I

I. Course Title: Algebra I .2 Semesters 2 Credits

II. Course Description:

In Algebra I students will learn to recognize a problem. Through this course student will also create needed expressions to represent unknown values, by using manipulated variables and develop equations or inequalities, using expressions. Students will solve equations and inequalities, using appropriate techniques. Algebra I also requires the using solutions of equations or inequalities to provide accurate data.

III. Prerequisites: 8th Grade Math or Pre-Algebra

IV. Units/Lessons

· Real Numbers

· Polynomials

· Fractions

· Introduction to functions

· Linear Equations/Inequalities

· Problem Solving

Geometry

I. Course Title: Geometry 2 Semesters 2 Credits

II. Course Description:

This course is intended to give students a sound understanding of the many geometric figures and each figures unique properties. It will also afford the students the ability to apply those properties to everyday situations.

III. Prerequisites: Algebra I or Pre-Geometry

IV. Units/Lessons

· Basic Figures-(Points, lines, Planes)

· Deductive Reasoning- (Proofs)

· Polygons-(Triangles, Quadrilaterals, etc)

· Circles-(Circumference, Area, Properties)

· Transformations - (Reflections, Translations, Rotations, etc.)

Algebra II

I. Course Title: Algebra II 2 Semesters 2 Credits

II. Course Description:

Algebra II is an extension of Algebra I and Geometry. Algebra II delves into more detailed and complicated problem solving techniques

III. Prerequisites: Algebra I and Geometry

IV. Units/Lessons

· Inequalities and Proofs

· Linear Equations and Functions

· Products and Factors Of Polynomials

· Quadratic Equations and Functions

· Variations

· Analytical Geometry

· Logarithms

· Trigonometry

TRIGONOMETRY/CALCULUS

I. Course Title: Trigonometry/Calculus 2 Semesters 2 Credits

II. Prerequisites: Algebra I, Geometry, and Algebra II

III. Course Description:

This is the final course in the sequence of college-prep mathematics courses. In Trigonometry/Calculus we are bringing together the knowledge gained throughout the student’s high school education and combining it with the more detailed information necessary to prepare students for future academic work. Trigonometry is the course between courses. It expands on the ideas and concepts learned in Algebra I, Geometry, and Algebra II and serves as a stepping stone into the world of Calculus and more upper level mathematics.

IV. Units/Lessons

· Chapter 1: Trigonometric Functions

· Chapter 2: Circular Functions and their Graphs

· Chapter 3: Properties of Trigonometric Functions

· Chapter 4: Oblique Triangles (Non-Right Triangles)

· Chapter 5: Sinusoidal Variation

· Chapter 6: Vectors in the Plane

· Chapter 7: Complex Numbers

· Chapter 8: Transformations

· Chapter 9: Vectors in Space

· Chapter 10: Spherical Trigonometry

· Chapter 11: Infinite Series