Students must receive a grade of at least a “C-“ in previous courses in order to have the opportunity to take the next level math course. If a student receives a grade below a “C-“ in a math course, he/she may opt to retake that class for no additional credit, but to raise the grade in order to advance to the next level math course.

 

Introduction to Algebra - Year Course       Grades 9 – 12

(Value: 1 credit for the entire year – Mathematics)

This course is designed for the student who needs additional preparation prior to taking Algebra I. It is also the basic grade (9) course for students who do not take Algebra I. The course topics are similar to one semester of Algebra I with less degree of difficulty.

 

Algebra I - Year course - Recommended for colleges and technical programs
Prerequisite: Prealgebra (grade 8) or Introduction to Algebra

(Value: 1 credit for the entire year – Mathematics)

This is a beginning course in algebra. It covers operations on positive and negative numbers, fractions, solving equations with one and two variables, factoring polynomials, graphing, the study of squares and square roots and the use of the quadratic equation.

                  

 UNITS:

Introduction to Algebra

Working with real numbers

Solving equations and problems

Polynomials

Factoring polynomials

Fractions

Applying fractions

Introductions to functions

Systems of linear equations

Rational and irrational numbers

 

Algebra II - Year course     *Intensive Homework*

Prerequisite: Algebra I and Geometry

Grades 10-12 (Value: 1 credit for the entire year – Mathematics)       

The basic facts and rules studied the first year of Algebra I are briefly reviewed. Taking these facts as a background, new and more advanced use of them is studied in detail. A few of these new concepts are: imaginaries, logarithms, slide rule, progressions, determinants, statistics, calculators, etc. Students who are interested in math or those who plan to study additional math or enter the physical science area of study will find that Algebra II is an important mathematics course to take.

UNITS:

Sets of numbers: Axioms

Open sentences in one variable

Systems of linear open sentences

Relations and functions

Rational numbers and expressions

Relations and functions

Irrational numbers and quadratics equations

Quadratic relations and systems

Exponential functions and logarithms

Progressions and binomial expressions

Matrices and determinants

Geometry - Year course - Grades 9-12    *Intensive Homework*

Prerequisites: Algebra I       Required by most colleges.

(Value: 1 credit for the entire year – Mathematics)

Geometry is the study of plane and solid figures and their relationships to each other and to other mathematical principles and concepts. Attention will also be given to logic and formal proof.

 

In this class students use a discovery approach to develop an awareness of basic geometry concepts and their applications in the real world. Using geometry tools, pencil and paper, manipulatives, and the computer, students discover geometric properties by experimentation and observation. The development of reasoning skills is stressed throughout the course but the emphasis is on inductive reasoning skills with limited time spent on deductive reasoning and proof as in all academic classes. Good study skills are necessary for students to be successful in this class. (Notetaking, organization and completing homework)  

          

UNITS:

Inductive Reasoning  Introducing Geometry
Using Tools of Geometry

Line and Angle Properties

Triangle Properties

Polygon Properties

Circles

Geometry in Arts & Nature

Transformation & Tessallations   

Area

Pythagorean Theorem       

Volume

Similarity & Trignometry

Deductive Reasoning

Geometric Proof

 

Probability and Statistics – Semester Course – Grades 10 – 12

Prerequisite: Algebra I and Geometry

(Value: 1/2 credit - Mathematics)

This course is meant to introduce students to the mathematical concepts of both probability and statistics. In the statistics sessions, students will learn about how quantative data is collected, displayed, analyzed, and interpreted. This part of the class will also focus on the effects of how data can be misrepresented. In the probability session, students will learn what probabilities actually mean, what things affect certain probabilities, and how probabilities can help us make decisions in life. Each session will share equal time, which is approximately one quarter. This is a project-intensive course where students may have to present their findings to the class.

 

Units:              A) Statistics

·         3 M’s (mean, median, mode)

·         Standard deviation

·         Data representation (scatter plots, box and whisker, pie charts, histograms, bar graphs, etc…)

·         Data Misrepresentation

·         Correlation

·         Normal Distributions (Bell curves)

 

B) Probability

·         Sample Spaces

·         Events (independence, exclusiveness)

·         Fundamental Counting Principle

·         Permutations

·         Combinations

 

Modern Trigonometry - Semester course - Grades 11-12    *Intensive Homework*

Prerequisite: Algebra II (Value: 1 credit - Mathematics)

The word trigonometry is a derivation of three Greek words, which mean "three angles measurement". By means of trig, it is possible to determine the remaining sides and angles of a triangle when some of them are known. Algebra I and Algebra II are required prior to taking this course. 

                   CONTENT:

·         Sets, relations and functions

·         Circular functions

·         Graphs of circular functions

·         Inverse of circular functions       

·         Trigonometric functions

·         Vectors

·         Complex numbers

·         Infinite series and trigonometric function

 

 

Introductory Analysis - Semester course - Grades 11-12   *Intensive Homework*

Prerequisite:   Trigonometry (Value: ½ credit – Mathematics)

This is a complete course in precalculus topics. It is intended for use by students who have completed two years of high school algebra and one year of high school geometry. It is written for average and above average students who would like to prepare for college mathematics, review for college entrance examinations, or simply study more mathematics.

 

Chapters 1 through 5 are devoted to topics from advanced algebra. Chapter 1 offers a thorough review of quadratic equations and coordinate geometry.  Chapter 2 includes a review of polynomial algebra and theory of equations as well as some material that will be new to most students. Chapter 3 is devoted to inequalities, and Chapter 4 to functions. Chapter 5 presents exponents and logarithms: it includes exponential growth and decay and natural logarithms. Other chapters include sequences and series, statistics, probability, and introductory calculus.

 

Senior Math - Year Course            Grades 11 & 12

(Value: 1 credit for the entire year – Mathematics)

The purpose of this course is to review basic mathematical fundamentals while investigating topics of math as they apply to living in today’s world. This class is designed to meet the needs of grade 12 students not enrolled in college prep curriculum. Grade 11 students may take this course with prior approval of the instructor. This course is offered alternate years.

(Course will be offered only if 10 or more students enroll)

 

Calculus - Year course - Grades 12     *Intensive Homework*

Prerequisite: Introductory Analysis   (Value: 1 credit for the entire year – Mathematics)

Calculus is a branch of mathematics that makes use of plane geometry and algebra to which we add the idea of limit and of the limiting process. From the idea of limit, we study the two principal concepts of calculus, the derivative and the integral. We study various applications of the derivative and integral, including area, functions, sequences and series. Students have the opportunity to take the A.P. Calculus test for college credit at the conclusion of the course at their own expense.