 # Mathematics

## Algebra 1

Grade 9

This course includes a study of real numbers, the coordinate plane, linear equations and inequalities, systems of linear equations and inequalities, exponential functions, polynomials, quadratic functions, radical functions, and data analysis and probability. Topics are taught with the aid of TI-84 Plus calculators and are framed in real-world applications.

## Honors Algebra 1

Grade 9
This course starts with a survey of previous algebraic skills and moves forward into the following topics: This course includes a study of real numbers, the coordinate plane, linear equations and inequalities, systems of linear equations and inequalities, exponential functions, polynomials, quadratic functions, radical functions, rational functions, and data analysis and probability. All topics in Intermediate Algebra will be covered in a more rigorous fashion than in the Algebra 1 course. Topics are taught with the aid of TI-84 Plus calculators and are framed in real-world applications.

· Prerequisites: Department approval required. Enrollment based on May testing.

## Algebra 2

Grades 9, 10

This course builds on the concepts learned in Algebra 1. It includes a study of data representation, linear and quadratic functions, linear and quadratic inequalities, systems of linear and quadratic equations and inequalities, polynomial functions, rational and radical functions, exponential and logarithmic functions, and probability. Real world applications are presented and discussed. A TI-84 Plus Calculator is used for this class.

· Prerequisites: Completion of Algebra 1. Freshman enrollment based on May testing.

## Honors Algebra 2

Grades 9, 10

This course is designed to provide a preparation for Honors Precalculus. It includes a study of data representation, linear and quadratic functions, linear and quadratic inequalities, systems of linear and quadratic equations and inequalities, polynomial functions, rational and radical functions, exponential and logarithmic functions and probability, as well as introduce matrices. All topics in Honors Algebra 2 will be covered in a more rigorous fashion than in the Algebra 2 course. Topics are taught with the aid of the TI-84 Plus Calculators and are framed in real-world applications.

· Prerequisites: Department approval required. Sophomores must have obtained an 88 in Honors Algebra 1 or a 93 in Algebra 1. Freshman enrollment based on May testing.

## Geometry

Grades 10, 11

This course is designed to help students understand the basic structure of Euclidean Geometry and develops spatial visualization and deductive reasoning skills. Topics include fundamental definitions and properties of lines, angles, polygons, and circles, congruence, similarity, methods of proof, area, volume, coordinate geometry and transformations. Emphasis is placed on logical reasoning and algebraic relationships in geometry. Topics are taught with the aid of TI-84 Plus calculators.

· Prerequisites: Completion of Algebra 2.

## Honors Geometry

Grades 10, 11

This course is designed to help students understand the basic structure of Euclidean Geometry and develops spatial visualization and deductive reasoning skills. Topics include fundamental definitions and properties of lines, angles, polygons, and circles, congruence, similarity, methods of proof, area, volume, coordinate geometry, constructions, and transformations. Emphasis is placed on logical reasoning and algebraic relationships in geometry. All topics in Honors Geometry will be covered in a more rigorous fashion than in the Geometry course. Topics are taught with the aid of TI-84 Plus calculators.

· Prerequisites: Department approval required. Must have obtained a 88 in Honors Algebra 2 or a 93 in Algebra 2.

## Summer Honors Geometry

Incoming Grade 10, 11

This course will follow the intense schedule of an Honors Geometry course and will include the study of relationships among lines, angles and polygons. The subjects of symmetry, congruence, coordinate geometry and right triangle trigonometry will be investigated with the use of the TI-84 Plus graphing calculator.

· Prerequisites: Department approval required. Must have obtained a 88 in Honors Algebra 2 or a 93 in Algebra 2.

## Precalculus

Elective Grade 11, 12

This course is a preparation for a variety of college mathematical courses. The topics include linear and quadratic functions and inequalities, systems of linear and quadratic equations and inequalities, matrices, polynomial functions, rational functions, exponential and logarithmic functions, trigonometric functions, trigonometric equations and triangle trigonometry. Appropriate applications are studied. A TI-84 Plus calculator is required.

· Prerequisites: Completion of Algebra 2 and Geometry.

## Honors Precalculus

Elective Grade 10, 11, 12

This course combines the topics of trigonometry, algebra, and geometry in a comprehensive course designed to prepare students for continued study in Calculus. Emphasis is placed on understanding of concepts and sound mathematical reasoning as they pertain to problem solving. Topics include graphing, logarithms, polynomials and trigonometry. Students are required to have a TI-84 plus graphing calculator.

· Prerequisites: Department approval required. Must have obtained a 88 in Honors Algebra 2 or a 93 in Algebra 2 and an 85 in Honors Geometry or a 90 in Geometry.

## Honors Calculus

Elective Grade 11, 12

This course is for the student who would like preparation for a college level Calculus course. Topics include limits, derivatives and their applications, and an introduction to integrals. This course requires a TI-84 Plus calculator.

· Prerequisite: An 83 in Honors Precalculus, or 86 in Precalculus. Department approval required.

## AP Calculus AB

Grades 11, 12

This course offers a rigorous and in-depth study into the concepts of Calculus that would be comparable to a semester of college Calculus. The class follows a syllabus approved by the College Board for AP Calculus AB. Students will investigate the concepts of limits, derivatives and integrals as well as applications. Lessons will incorporate the use of the TI-84 Plus graphing calculator. Students are expected to sit for the AP Calculus Exam in May.

· Prerequisite: An 93 in Honors Precalculus or 97 in Precalculus. Department approval is required.

## Statistics

Elective Grade 11, 12

This is an elementary course in descriptive statistics that will be helpful to any college major. Topics include collection and organization of data, measures of central tendency and variation, probability theory, normal distributions, sampling distributions, estimation, hypothesis testing, regression and correlation and chi-square and F distributions. The TI-84 Plus graphing calculator will be used extensively to assist the student's understanding of formulas and concepts.

· Prerequisite: Completion of Algebra 2; Department approval require

## AP Statistics

Elective Grade 11, 12

This course is designed to familiarize students with major concepts and tools for collecting, analyzing, and drawing conclusions from data. The topics for the course are divided into four major areas of study: exploratory analysis, planning a study, probability, and statistical inference. The AP Statistics course is equivalent to an introductory college course in statistics with extensive use of the TI-84 Calculator.

· Prerequisite: Completion or concurrent with Precalculus, 93 in Honors Algebra 2, or 90 in Honors Precalculus or 95 in Precalculus. Department approval required.

## Introduction to Engineering Design

Elective Grade 11, 12

This course is designed to introduce students to engineering design and complex problem-solving. The problems presented in this course will be solved in teams using the project/problem-based learning approach. Students will be researching, designing, developing, and communicating solutions to problems while using engineering software. This course is geared for students wanting to pursue STEM-related majors in college.

· Prerequisite: Completion of Algebra 2.

## Department Members

### Mrs. Allison Carberry

Titles: Faculty
Degrees: B.S. Millersville University
Email:

### Dr. Megan Clementi

Titles: Mathematics Faculty
Degrees: Ed.D.
Email:

### Mrs. Kathleen May

Titles: Faculty
Degrees: Masters of Arts Temple University
Email:

### Mrs. Kimberly Naucodie

Titles: Math Faculty
Degrees: M.S. Pennsylvania State University
Email:

### Mr. Thomas Waltrich

Titles: Faculty
Degrees: M.S. Arcadia
Email: