Mathematics Education

  • Math Education Scope & Sequence

    209 – Algebra I

    • 2.0 Credit
    • Offered Every Year
    • Grades: 9-10 Required
    • Meeting Schedule: Every Day All Year
    • Pathway: All
    • Lab Fee: None
    • Weighting: 1.0
    • Placement Criteria: None
    • Course Prerequisite: None
    • Course Description: Algebra I is a required course designed to prepare students for the Algebra I Keystone Exam and is a necessary stepping-stone for students to continue their study of mathematics throughout high school. Content is aligned to the Pennsylvania Department of Education's Algebra I Assessment Anchors and includes expressions, linear equations, functions, inequalities, systems, polynomials, and data analysis. Students are expected to use a Texas Instruments TI-30X IIS scientific calculator, though they may also use a Texas Instruments graphing calculator (any version of the TI-83 or TI-84), as it has significantly more functions and is required for many higher level math courses.


    215 – Geometry

    • 1.0 Credit
    • Offered Every Year
    • Grades: 9-12 Required
    • Meeting Schedule: Daily for Semester
    • Pathway: All
    • Lab Fee: None
    • Weighting: 1.0
    • Placement Criteria: None
    • Course Prerequisite: Algebra 2
    • Course Description: This course involves the study of shapes combined with the principles of algebra. Content includes experience with basic geometric figures (two dimensional and three dimensional), basic trigonometry, proofs, transformations, surface area, volume, figure congruence, symmetry, figure similarity, and coordinate geometry. By completing this course, a student gains experience in hands-on activities and practical applications to integrate geometric relationships in other content areas. A scientific or graphing calculator will be used extensively. (A TI-83 or TI–84 is the recommended calculator.) 


    217 – Honors Geometry

    • 1.0 Credit
    • Offered Every Year
    • Grades: 9-10 Required
    • Meeting Schedule: Daily for Semester
    • Pathway: All
    • Lab Fee: None
    • Weighting: 1.10 
    • Course Prerequisite: Algebra I
    • Honors and Advanced Criteria: Recommended minimum final average of 92% in Algebra II 
    • Course Description: This course involves the study of shapes combined with the principles of algebra. Content includes experience with basic geometric figures (two dimensional and three dimensional), basic trigonometry, a broad variety of proofs, transformations, surface area, volume, figure congruence, symmetry, figure similarity, and coordinate geometry. By completing this course, a student gains experience in hands-on activities and practical applications to integrate geometric relationships in other content areas. A scientific or graphing calculator will be used extensively. (A TI-83 or TI–84 is the recommended calculator.)


    220 – Algebra II

    • 1.0 Credit
    • Offered Every Year
    • Grades: 9-12 Required
    • Meeting Schedule: Daily for Semester
    • Pathway: All
    • Lab Fee: None
    • Weighting: 1.0
    • Placement Criteria: None
    • Course Prerequisite: Algebra I
    • Course Description: This course is necessary for all college bound students. The content includes real and complex numbers, techniques of algebra, concepts of functions (linear, quadratic, exponential, and logarithmic) and graphs, with emphasis on equation solving and its applications to the solutions of real-world problems. A graphing calculator will be required for this course. (A TI-83 or TI–84 is the recommended calculator.) 


    222 – Honors Algebra II

    • 1.0 Credit
    • Offered Every Year
    • Grades: 9-12 Required
    • Meeting Schedule: Daily for Semester
    • Pathway: All
    • Lab Fee: None
    • Weighting: 1.10 
    • Honors and Advanced Criteria: Recommended minimum final average of 92% in Algebra I or recommended minimum final average of 85% in Honors Geometry 
    • Course Prerequisite: Algebra I and/or Honors Geometry
    • Course Description: This weighted course is designed to give students who are interested in pursuing a career in math or science related fields a thorough understanding of advanced algebra concepts needed for their future. This course includes the study of real and complex numbers, techniques of algebra, concepts of functions (linear, quadratic, exponential, and logarithmic) and graphs, with emphasis on equation solving and its applications to the solutions of real-world problems. A graphing calculator will be required for this course. (A TI-83 or TI–84 is the recommended calculator.) 


    229 – Honors Pre Calculus

    • 1.0 Credit
    • Offered Every Year
    • Grades: 10-12 Elective
    • Meeting Schedule: Daily for Semester
    • Pathway: Engineering, Science & Technology
    • Lab Fee: None
    • Weighting: 1.10 
    • Course Prerequisite: Geometry and one of the following: Honors Algebra II, Algebra III/Trigonometry or teacher recommendation
    • Honors and Advanced Criteria: Recommended minimum final average of 92% in Algebra II and Geometry OR recommended minimum final average of 85% in Honors Algebra II and Honors Geometry OR recommended minimum final average of 92% in Algebra III/Trigonometry.
    • Course Description: This honors-level, weighted course is a rigorous study of advanced algebraic techniques with an emphasis on trigonometry. Topics will include systems of equations, function transformations, analyzing graphs, logarithmic and exponential functions, polynomial and complex equations, conics, triangle and circular trigonometry, trigonometric graphs and radian measures, trigonometric identities, and sums and sequences.


    231 – Honors Calculus

    • 1.0 Credit
    • Offered Every Year
    • Grades: 10-12 Elective
    • Meeting Schedule: Daily for Semester
    • Pathway: Engineering, Science & Technology
    • Lab Fee: None
    • Weighting: 1.10 
    • Placement Criteria: Recommended minimum final average of 85% in Honors Pre–Calculus 
    • Course Prerequisite: Honors Pre-calculus
    • Course Description: The word calculus describes a method of analyzing change in physical quantities. This weighted course includes the study of functions and graphs, limits and continuity, derivatives, applications of derivatives, exponential and trigonometric functions, integration, applications of integrals, and differential equations. A graphing calculator will be required for this course. (A TI–83 or TI–84 is the recommended calculator.) 


    247 – Algebra III/Trigonometry

    • 1.0 Credit
    • Offered Every Year
    • Grades: 10-12 Elective
    • Meeting Schedule: Daily for Semester
    • Pathway: Engineering, Science & Technology
    • Lab Fee: None
    • Weighting: 1.0
    • Placement Criteria: None
    • Course Prerequisite: Algebra II and Geometry
    • Course DescriptionThis course is designed for students who plan to attend a post-secondary institution, but not necessarily in pursuit of a career in mathematics or science. Algebra and geometry concepts will be reinforced and utilized in a more practical setting. Algebra III/Trigonometry encompasses a multitude of mathematical concepts that will include advanced algebra, trigonometry, and math analysis, which will be useful in future college courses. A scientific calculator or graphing calculator will be required for this course. (A TI–83 or TI-84 is the recommended calculator.)  


    270 – Computer Programming I

    • 1.0 Credit
    • Offered Every Year
    • Grades: 9-12 Pathways Elective
    • Meeting Schedule: Daily for Semester
    • Pathway: Engineering, Science & Technology and Business & Finance 
    • Lab Fee: None
    • Weighting: 1.0
    • Placement Criteria: None
    • Course Prerequisite: Algebra I 
    • Course DescriptionThis course introduces students to computer programming and provides experience with a high-level programming language, using it as a tool for solving complex mathematical and logistical problems.  Some topics include standards of coding and formatting, mathematical modeling, randomization, functions on different variable types, cryptology, loops, arrays, recursion, decision statements, modular programming, and game design. 


    271 – Computer Programming II

    • 1.0 Credit
    • Offered Every Year
    • Grades: 10-12 Elective
    • Meeting Schedule: Daily for Semester
    • Pathway: Engineering, Science & Technology and Business & Finance
    • Lab Fee: None
    • Weighting: 1.0
    • Placement Criteria: Recommended minimum final average of 92% in Computer Programming I
    • Course Prerequisite: Computer Programming I
    • Course Description: This course is a continuation of Computer Programming I, and the Pascal language is used to solve more in-depth mathematical problems. Some topics include file processing, records, recursion, sorting, and data structures. Students will also receive an introduction to the C++ programming language.

     


    280 – Probability and Statistics

    • 1.0 Credit
    • Offered Every Year
    • Grades: 10-12 Elective
    • Meeting Schedule: Daily for Semester
    • Pathway: All
    • Lab Fee: None
    • Weighting: 1.0
    • Placement Criteria: None
    • Course Prerequisite: Algebra II
    • Course Description: This course is an introduction to the concepts of probability and statistics. It is designed for the college bound student who is planning to major in the following: political science, nursing, psychology, sociology, business, journalism, education, and related fields. Those students planning to major in mathematics or science related fields should consider taking AP Statistics. Emphasis is placed on developing and understanding the concepts and processes used in analyzing data and translating it into usable information. Elementary probability concepts are also included. A graphing calculator will be required for this course. (A TI-83 or TI–84 is the recommended calculator.)  


    ADVANCED PLACEMENT MATHEMATICS EDUCATION COURSES

    232 – AP Calculus AB

    • 1.0 Credit
    • Offered Every Year
    • Grades: 10-12 Elective
    • Meeting Schedule: Every Other Day All Year
    • Pathway: Engineering, Science & Technology
    • Lab Fee: None
    • Weighting: 1.20 
    • Syllabus
    • Placement Criteria: Recommended minimum final average of 85% in Honors Pre-calculus 
    • Course Prerequisite: Honors Pre-calculus
    • Course Description: This weighted course will cover the topics of a regular calculus course but will include a more in-depth study of the material. Upon successful completion of this course, students choosing to take the AP exam, scoring three or above, may receive college credit from participating colleges and universities. A graphing calculator is required for this course. (A TI–83 or TI–84 is the recommended calculator.) 
    • To find colleges and universities that offer credit or placement for AP scores see www.collegeboard.org/apcreditpolicy


    233 – AP Calculus BC

    • 1.0 Credit
    • Offered Every Year
    • Grades: 11-12 Elective
    • Meeting Schedule: Every Other Day All Year
    • Pathway: Engineering, Science & Technology
    • Lab Fee: None
    • Weighting: 1.20 
    • Syllabus
    • Placement Criteria: Recommended minimum final average of 85% in AP Calculus AB 
    • Course Prerequisite: AP Calculus AB
    • Course Description: This weighted course is an extension of AP Calculus. Students will continue to study advanced topics, including techniques of integration, polynomial approximations, and series. Upon successful completion of this course, students choosing to take the advanced placement exam, scoring three or above, may receive college credit from participating colleges and universities. A graphing calculator will be required for this course. (A TI–83 or TI–84 is the recommended calculator.)
    • To find colleges and universities that offer credit or placement for AP scores see www.collegeboard.org/apcreditpolicy

     

    278 – AP Computer Science A

    • 1.0 Credit
    • Offered Every Year
    • Grades: 11-12 Elective
    • Meeting Schedule: Every Other Day All Year
    • Pathway: Engineering, Science & Technology and Business & Finance
    • Lab Fee: None
    • Weighting: 1.20 
    • Syllabus
    • Placement Criteria: Recommended minimum final average of 85% in Computer Programming II
    • Course Prerequisite: Computer Programming II
    • Course Description: This weighted course will use the Java programming language to solve a multitude of mathematical problems. Topics include object-oriented program design, implementation, and analysis; data structures; algorithm analysis; and computing in context. Upon successful completion of this course, students choosing to take the AP exam, scoring three or above, may receive college credit from participating colleges and universities. 
    • To find colleges and universities that offer credit or placement for AP scores see www.collegeboard.org/apcreditpolicy


    281 – AP Statistics

    • 1.0 Credit
    • Offered Every Year
    • Grades: 10-12 Elective
    • Meeting Schedule: Every Othe Day All Year
    • Pathway: All
    • Lab Fee: None
    • Weighting: 1.20
    • Syllabus 
    • Placement Criteria: Recommended minimum final average of 85% in Honors Algebra II 
    • Course Prerequisite: Honors Algebra II
    • Course Description: This weighted course is designed for students who are strong in mathematics and plan to major in math or science-related fields. This course will explore data using graphical and numerical techniques. Students will learn to devise a well-developed strategy for collecting data and making valid inferences. Topics to be covered include normal and binomial distributions, measures of central tendency and dispersion, regression analysis, sampling, correlation, hypothesis testing, and confidence intervals. Upon successful completion of this course, students choosing to take the AP exam, scoring three or above, may receive college credit from participating colleges and universities. A graphing calculator is required for this course. (A TI–83 or TI–84 is the recommended calculator.)
    • To find colleges and universities that offer credit or placement for AP scores see www.collegeboard.org/apcreditpolicy