# Mathematics

## Faculty

## Faculty

Mrs. Carina Garcia

Mrs. Garcia earned a Bachelor of Science in Mathematics Education from Kutztown University in 2013. She is currently taking courses to earn her Master's degree in Instructional Technology with a STEM letter of Endorsement at Wilkes University.

Mrs. Garcia became an instructor at Conrad Weiser High School in 2017. She teaches College Prep Geometry, Concepts of Basic Algebra and College Prep Basic Algebra. Mrs. Garcia is also the Algo’s club advisor.

Email: C_Garcia@conradweiser.org

Ms. Lindsay Gerhart

Ms. Gerhart is a graduate of Conrad Weiser in the class of 2005. She attended Penn State for her undergraduate degree, where she studied Elementary Education and Mathematics, and then earned her Master’s of Education in Mathematics from Millersville. She is a huge sports fan and goes to Penn State on football Saturdays to cheer on the Nittany Lions! Ms. Gerhart taught at Governor Mifflin for 7 years and returned to Conrad Weiser in 2017. She is one of the Mini-THON advisors and the advisor for the PA Math League competitions.

Email: L_Gerhart@conradweiser.org

Mr. Dennis Harman

Mr. Harman is a 1976 graduate of Lock Haven State College with a degree in Secondary Mathematics Education. During the 1976-1977 school year he taught at Southern Fulton, teaching all of the 9th and 10th grade mathematics classes offered in the high school. In the fall of 1977 Mr. Harman began his teaching career at Conrad Weiser. At Conrad Weiser Mr. Harman teaches Algebra 1, Trigonometry, Pre-Calculus, and Personal Economics. He earned a Master of Education Degree from DeSales University in Computers in Education in 2001. He serves as the advisor to the National Honor Society and Fellowship of Christian Students. During his time at Conrad Weiser Mr. Harman has coached track, cross country, and wrestling.

Email: D_Harman@conradweiser.org

Mr. Vince Natale

Mr. Natale graduated from Albright College with a degree in Mathematics and Secondary Education. He has been teaching math in the Conrad Weiser School District since 1998. He is currently working towards his Master’s in Educational Technology at Wilkes University. Mr. Natale is currently teaching Geometry at Conrad Weiser High School. Mr. Natale also coaches boys basketball at Conrad Weiser Middle School.

Email: V_Natale@conradweiser.org

Mrs. Paula Prohaska

Mrs. Prohaska became an instructor at Conrad Weiser High School in 2002. She earned a Bachelor of Science from Mount Saint Mary’s University in Mathematics and her Secondary Education teaching certification in Mathematics from Rowan University. She earned a Master of Education from Wilkes University in 2005.

Mrs. Prohaska has a Pennsylvania teaching certification in Mathematics. She teaches Honors Algebra 2, College Prep Algebra 2, College Algebra and Statistics and Probability. She has taught College Prep Geometry and Algebra 1 as well as a Keystone Algebra 1 course. Mrs. Prohaska is the faculty advisor to Student Council.

Email: P_Prohaska@conradweiser.org

Mr. Jed Schweigert

Mr. Schweigert is a graduate of Conrad Weiser in the class of 1993. He earned a Bachelor of Science from Penn State in Mathematics Education and a Master of Education from DeSales University. He has also taken various graduate courses at Drexel University, Kutztown University, and West Chester University.

Mr. Schweigert has a Pennsylvania teaching certification in Mathematics. He currently teaches Honors Pre Calculus and all the Computer Science courses. He has previously taught Geometry, Advanced Topics of Math, and all levels of Algebra.

Email: J_Schweigert@conradweiser.org

Ms. Beverly Wolfe

Ms. Wolfe became an instructor at Conrad Weiser High School in 2003. She earned a Bachelor of Science in Mathematics Education from Millersville University, a Master of Education in Mathematics from Kutztown University, and a Master of Arts in Mathematics from West Chester University. Ms. Wolfe teaches A.P. Calculus, Honors Calculus, Algebra 2, and Concepts of Algebra 2/Geometry. She has taught Algebra 1, Concepts of Algebra 1, and SAT Prep.

Email: B_Wolfe@conradweiser.org

## Course Offerings

## Course offerings

The Mathematics Department offers a wide range of core and elective courses to expose students to the various topics of mathematics.

For more detailed information about graduation requirements and course offerings, view the High School Program of Studies.

- Concepts Courses
- College Prep Courses
- Honors and AP Courses
- Computer Science Courses
- Other Math Offerings

## Concepts Courses

**Concepts of Basic Algebra 1**- 9 - 1.00 Credit

This class covers chapters 1-6 of the Concepts of Algebra textbook. Main topics include solving equations, graphing lines, and writing linear equations, as well as solving and graphing inequalities. This class is designed for students who took Algebra Readiness in 8th grade or struggled with Algebra 1A in 8th grade. After passing this class, students can continue on to take Concepts of Algebra 1.

Concepts of Algebra 1 - 9 and 10 - 1.00 Credit

This class is designed for students who passed Concepts of Basic Algebra 1 or barely passed College Prep Basic Algebra 1. The course starts by reviewing the first part of the Concepts of Algebra 1 textbook and continues to teach topics from the second half of the textbook. Main topics include writing and graphing linear equations, solving systems of equations, and solving inequalities. After passing this class, students can continue on to take Concepts of Keystone Algebra.

Concepts of Keystone Algebra 1 - Grade 10 and 11 - 1.00 credit

This class is designed for students who passed Concepts of Algebra 1 and have not taken the Keystone Algebra 1 exam yet. This course will cover all of the eligible content that is found on both modules of the Keystone exam. The topics covered in this course are estimation, real numbers, operations of polynomials, exponent rules, simplifying square roots and rational expressions. Other topics include solving and graphing linear equations and inequalities and solving and graphing systems of linear equations and inequalities. Students in this class will be preparing to take the Keystone Algebra 1 exam at the end of the course

Concepts of Geometry/Algebra 2 - 11 and 12 - 1.00 Credit

This class is designed for students who passed Concepts of Keystone Algebra 1 or are recommended after College Prep Geometry, and have plans to continue their education after high school. Concepts of Geometry/Algebra 2 strengthens and expands upon concepts and skills taught in previous algebra courses, as well as introduces new concepts from both geometry and algebra. Some of the topics covered will include writing and graphing linear equations, solving systems and factoring. Some new topics will include solving quadratic equations, imaginary numbers, and introductory trigonometry.

## College Prep Courses

Basic Algebra 1 College Prep - 9 through 12 - 1.00 Credit

This course is the beginning of the college prep track. The topics covered in this course are variable expressions, order of operations, properties of real numbers, solving, graphing and writing linear equations, solving and graphing inequalities, and systems of equations.

*TI-84 calculators will be used in the classroom when appropriate.

Algebra 1 College Prep - 9 through 12 - 1.00 Credit

Algebra 1 is a continuation of Basic Algebra 1 or 8th grade Algebra. The course will quickly review operations with and properties of real numbers, and solving single variable equations. Students are expected to master writing and graphing linear equations, and solving systems of equations. The course will then cover topics including exponents, operations with polynomials, factoring and solving quadratic equations, as well as basic statistics and probability. Students will take the Keystone Exam for Algebra at the conclusion of the course.

Algebra 2 College Prep - 10 through 12 - 1.00 Credit*(Prerequisite - CP Geometry)*Algebra II strengthens and expands upon concepts, skills, and topics introduced in Algebra 1. Some of the topics covered will include the solving and graphing of quadratic, polynomial, rational, radical, exponential, and logarithmic functions. All students planning to attend college should complete this course prior to graduation.

Geometry College Prep - 9 through 12 - 1.00 Credit*(Prerequisite - CP Algebra 1)*Geometry deals primarily with lines, angles, planes, polygons, and circles. Much of the course involves plane (two-dimensional) figures, with some study of solid (three-dimensional) figures and coordinate geometry (geometry done on a rectangular coordinate system.) Concepts from Algebra 1 are regularly used throughout the course.

Algebra 3 /Trigonometry - 11 and 12 - 1.00 Credit*(Prerequisite – CP Algebra 2)*Learning the processes to solve practical problems employing trigonometric functions is the focus of the first half of this course. Topics in trigonometry will include angle conversions and arc calculations, right and oblique triangle trigonometry, applying trigonometric formulas to simplify expressions, solving trigonometric equations, and vector operations. The algebra part of the course will review algebra skills from linear equations through polynomial and rational functions, and conclude with exponential and logarithmic operations.

## Honors and AP Courses

Geometry Honors - 9 through 12 - 1.00 Credit (weighted 1.1)*(Prerequisite - at least a B in 8**th** grade Algebra 1 I or an A in CP Algebra 1 with teacher approval)*Geometry deals primarily with lines, angles, planes, polygons, and circles. Much of the course involves plane (two-dimensional) figures, with some study of solid (three-dimensional) figures and coordinates geometry (geometry done on a rectangular coordinate system.) The concepts of congruence and similarity are emphasized. Students are expected to write and understand formal proofs including 2-column proofs, paragraph proofs, flow proofs, analytic geometry proofs, and indirect proofs. Students will investigate Non-Euclidean geometries, transformations, and fractal geometry.

Pre-Calculus Honors - 11 - 1.00 Credit (weighted 1.2)*(Prerequisite - at least a B in Algebra 2 Honors or an A in Algebra 2 CP with teacher approval)*This is an honors version of Algebra 3/Trigonometry. The major topics include trigonometry, functions, logarithms, and graphing. The goal is to prepare students for Calculus and higher math courses. This course will benefit those students who are highly motivated, enjoy math, and whose career goals include higher level math. A TI-Nspire calculator will be provided for students to use throughout the semester. This course does require summer assignments to be completed.

Calculus Honors - 12 - 1.00 Credit (weighted 1.1)*(Prerequisite - at least a C in Pre-Calculus Honors or an A in Algebra 3/Trigonometry with teacher approval)*This course reviews and continues the concepts of previous math courses. This course is an introduction to topics in calculus. These topics include limits, derivatives and their applications, and integrals and their applications. Students will be assigned a TI-Nspire graphing calculator to use for the semester. In addition, students are expected to perform on the honors level. This course will not cover all the topics, nor be as in depth as AP Calculus, thus students in this course will not be prepared to take the AP exam. Dual enrollment is available in this course.

Advanced Placement Calculus AB - 12 - 1.00 Credit (weighted 1.2)*(Prerequisite - at least a B in Pre-Calculus Honors or an A in Algebra 3/Trigonometry with teacher approval)*This course provides a systematic introduction to aspects of differential and integral calculus. The topics covered in this course include limits, derivatives, integrals, summation, volume and applications of these concepts. Material covered in this class is found in all first semester college calculus classes. Students will be assigned at TI-Nspire graphing calculator to use for the semester. In addition to work during the semester, a summer syllabus will be provided at the completion of the Pre-Calculus class. Homework is given on a nightly basis; tests and quizzes are administered on a regular basis. All students in this class are required to take the AP Calculus AB exam in May.

Advanced Placement Calculus BC - 12 - 1.00 Credit (weighted 1.2)

(*Prerequisite - AP Calculus AB)*This class is a second semester continuation of what was begun in AP Calculus AB. Topics covered in this course include L’Hôpital’s Rule, Improper Integrals, Infinite Series, Conic Sections, Parametric Equations and Vectors. In addition to new material that is learned, prior concepts will be strengthened. Outside preparation required. All students in this class are required to take the AP Calculus BC exam in May. Students will be assigned a TI-Nspire graphing calculator to be used for the semester.

## Computer Science Courses

Computer Science 1 - 9 through 12 - 1.00 Credit*(Prerequisite - CP Algebra 1 or 8**th** grade Algebra 1)*This course is designed to provide an overview of several topics in the field of computer science. The main focus will be programming, as the languages of Python and JavaScript will be introduced. Concepts such as control structures, looping, and functions will be used to solve a variety of problems. In addition, there will be assignments relating to the history of computers and current events in technology. This course will count as a mathematics credit.

Computer Science 2 - 10 through 12 - 1.00 Credit (weighted 1.1)*(Prerequisite - Computer Science 1)*This continuation of Computer Science 1 covers more programming topics in both Python and JavaScript. Additionally, current and classic computer science topics as provided by the American Computer Science League (ACSL) are included in the curriculum. These topics, such as number systems, recursive functions, and Boolean Algebra provide a link between math and computer science.

Advanced Topics in Computer Science - 11 and 12 - 0.50 or 1.00 Credit* (weighted 1.2)

(Prerequisite - Computer Science 2 and teacher approval)

This course will provide students the opportunity to continue their study of computer science and programming topics. There will be some core topics that will be covered, such as sorting algorithms, classes, and data structures. In addition to this, each student will have the opportunity to choose some of their own topics and problems to work on. There will be a great emphasis placed on independent study, so students must be motivated, responsible, and able to take initiative.

*Students may take this course as either 0.50 credit, 1.00 credit, or 0.50 credit per semester. This may be selected in both the junior and senior year for a total of up to 2 full credits.

ACSL Concepts and Programming - 11 and 12 - 0.50 Credit* (weighted 1.2)

(Prerequisite - Computer Science 2)

This course will focus on writing programs to solve problems as they would be asked in various computer science programming contests. Through these programs, students will be able to improve their problem solving skills and logical reasoning. Also, the ACSL topics introduced in Computer Science 2 will be expanded to include concepts such as graph theory and digital electronics. There will be a great emphasis placed on independent study, so students must be motivated, responsible, and able to take initiative.

*Students may only take this course as 0.50 credit per semester, but may take it in both semesters for a total of up to 1.00 full credit.

Advanced Placement Computer Science A - 12 - 1.00 Credit (weighted 1.2)

(Prerequisite – Advanced Topics of Computer Science - can be taken concurrently)

This course will be used as a preparation for students to take the AP Computer Science Exam. Programming will be done in Java. There will be a great emphasis placed on independent study, so students must be motivated, responsible, and able to take initiative.

## Other Math Offerings

Personal Economics - 12 - 1.00 Credit

Budgeting concepts, banking options, investment instruments, loans and credit, and retirement planning will be investigated through reading, research, and problem solving. The focus of this course will be learning the mathematical processes for dealing with real world problem situations students will encounter as employees, taxpayers, customers, investors, and consumers. Students will work with their own scientific calculators and on-line resources to acquire consumer problem solving skills.

Statistics and Probability - 10 through 12 - 1.00 Credit*(Prerequisite - CP Algebra 2)*Even a quick glance at a newspaper shows the extent to which the language of statistics and probability has become a part of everyday life. Knowledge of these topics has become increasingly important for an individual to function in society today. Various methods of analyzing data will be studied including graphing, calculating measures of central tendency and spread, use of standardized scores, and linear regression. Probability topics include the fundamental counting principle, conditional probability, and binomial probability. Simulation techniques, sampling methods, design of experiments, and hypothesis testing are also included. This statistics course is a great option for students conducting independent research or enrolled in science research courses.