# Math Department

## Philosophy

The Math Department at St. Benedict’s Prep aims to prepare each of our students for the rigors of a college math curriculum. We begin our pursuit of this goal by focusing our efforts on developing a solid foundation upon which each student can build his future mathematical inquiry. We follow a traditional Algebra—Geometry—Algebra2/Precalculus—Calculus curriculum that spirals topics forward through the sequence in order to provide our students with an opportunity to master them. In additon, we have established a rigorous, vertically-articulated curriculum that, when combined with differentiated approaches to meet the needs of each student, provides our students ample challenges along with the requisite support needed to meet those challenges successfully.

# Math Department Courses

- Freshman Math
- Algebra IA
- Algebra IB
- Algebra I
- Plane Geometry
- Algebra II
- Math IV
- Pre-Calculus
- Calculus
- Introduction to Statistics

## Freshman Math

This course will focus on topics in math such as fractions, signed numbers and the Cartesian plane. A student's performance in this class will determine there Math Placement for the Fall and Winter Phase by assessing students knowledge, math skills and ability to learn. This course will also help students develop better study habits and note taking skills and after completing the class students will be able to:

- Find equivalent fractions>
- Compare fractions.
- Give different representations of fractions.
- Add, Subtract, Multiply and Divide fractions.
- Find Absolute values.
- Add, Subtract, Multiply and Divide Signed numbers.
- Plot points on a Cartesian Plane.
- Develop ability to think mathematically.

## Algebra IA

Algebra I A is the first half of the full year Algebra course. This course will also help further students' understanding of functions and develop better study habits and note taking skills. After completing the class students will be able to:

- Apply Properties of Exponents.
- Have a deeper understanding of Order of Operations.
- Apply the Commutative Property, Associative Property, Distributive Property.
- Perform Symbolic Manipulation.
- Solve and Derive Linear Equations.
- Find Applications of Linear Equations.
- Develop ability to think mathematically.

## Algebra IB

Algebra I B is the second half of the full year Algebra course. This course will also help further students' understanding of functions and develop better study habits and note taking skills. After completing the class students will be able to:

- Perform Symbolic Manipulation.
- Solve and Derive Linear Equations.
- Find Applications of Linear Equations.
- Solving Systems of Equations by: graphing, substitution, elimination, solving inequalities, solving quadratic equations, develop ability to think mathematically.

## Algebra I

The main focus of this course is to allow students to understand mathematical concepts and explore different ways of performing mathematical computations. Students will be encouraged to use hands on methods to assist them in problem solving. In addition, students will be allowed to analyze and encounter various tactics in order to assist them as they perform mathematical calculations. Students will be encouraged not to use calculators during this course. Students will be able to explore different ways to solve math problems in accordance to the different learning styles. Moreover, students will be encouraged to work in small groups as part of differentiated instruction. Students will become familiarized with math terms and will be required to use appropriately in class. In addition, students will have the opportunity to peer share, use manipulatives and explore math using technology.

## Plane Geometry

This course introduces the basic concepts of plane geometry. Logic and deductive reasoning are stressed through the application of two-column proofs. Properties and relationships of geometric objects include the study of a) points, lines, angles and planes; b) polygons, with a focus on quadrilaterals, triangles and right triangles; and c) circles. This course also touches on the basics of right-angle trigonometry and strengthens basic algebra skills.

## Algebra II

The Algebra II with Trig course extends the language of Math into the quadratic areas including topics that follow from Algebra I and Geometry. The trigonometric area emphasizes right triangle trig and word problems that correspond to the trig. The students have homework everyday with the quiz the next day based on it. Quizzes are returned to students the following day. SAT preparation is emphasized as an adjunct. Upon completion of the course students should be able to think in the abstract.

## Math IV

This is a high-level math course offered to seniors who have demonstrated, through performance in earlier math courses, that they can handle the challenging material. The course is very important for students who plan on majoring in Science or Engineering in college. The course covers a variety of advanced math topics, including functions, theory of equations and graphs, elementary trigonometry and advanced topics in functions and graphing, such as polar coordinates, complex numbers, vectors and exponential and logarithmic functions.

## Pre-Calculus

This is an advanced math course offered to seniors who have demonstrated, through performance in earlier math courses, that they can handle the challenge of more difficult material. This course eliminates some review material, normally a part of Math IV (under the assumption that the student has very well mastered this material in Algebra II and other courses) and incorporates an in-depth introduction into the basics of Calculus. This course is designed for those students who plan to be taking Calculus in college.

## Calculus

This is the most advanced mathematics course that St. Benedict's offers. It is intended to provide proficiency to more advanced functions, trigonometry and differential and integral calculus for the student who has demonstrated through performance in earlier math courses, that he can master the difficult material. The course follows the Advanced Placement curriculum and will provide an excellent foundation for students who plan on majoring in Business, Science or Engineering in college.

## Introduction to Statistics

Students will understand the basic concepts of descriptive statistics, the analysis of data using graphical and numerical methods. During the course, students will perform experiments and simulations that will demonstrate how statistics is used in scientific research, in business and trade and in government policy. Students will also learn inferential statistics, how analysis of a small group can help to make predictions about a larger population. The concepts of probability will also be discussed and learned. This course will appeal to students who are interested in careers in health care, science, or business, where statistics concepts are used extensively. During this course we will:

- LEARN about various concepts in descriptive and inferential statistics and in probability, by reading from the textbook and the online resource and by discussing our readings in class.
- APPLY the statistical concepts that have been learned to analyze collected or simulated data.
- COMPARE the different methods used to summarize and describe collected data and assess which methods are more useful in various situations.
- EVALUATE recommendations and practices that are based on collected data and assess the validity of these recommendations/practices based on the statistics concepts that we have learned.