Mathematics

A calculator will be used in mathematics courses. It is strongly recommended that students purchase their own. A limited number of calculators are available for student use in class. All students are required to enroll in a math course in their 9th, 10th and 11th grade years. Students enrolled in CP Algebra I will take the Keystone Algebra exam in May. Any student who has NOT passed the Algebra Keystone exam will re-take the exam during the following school year. At the time of this publication, students are required to earn a proficient score on this exam.

1116 CP ALGEBRA 1

Length of course: Full Year

Credit: 1.0

Grade 9 - 12

Weight: 3 (CP)

Pathway: All

PREREQUISITE: Teacher recommendation

The topics in this course include linear equations and their graphs, systems of equations, inequalities, polynomials, simplifying radicals, probability and statistics and data interpretation. Emphasis is placed on problem solving and applications of linear equations and inequalities. This course includes extensive preparation for the Keystone Algebra Exam. Students are required to have a scientific calculator for this course.

1119 ALGEBRA 1A

Length of course: Full Year

Credit: 1.0

Grade 9-10

Weight: 2 (TP)

Pathway: All

This course will include content for the Keystone Algebra 1 exam, including simplifying expressions, solving equations, graphing lines, exponent rules and working with square roots. It includes approximately half the topics in a standard Algebra I course. Students who struggled in eighth grade math and were not proficient on the PSSA should be considered for this course.

1120 ALGEBRA 1B

Length of course: Full Year

Credit: 1.0

Grade 10 -12

Weight: 2 (TP)

Pathway: Business, Finance, & Information Technology (BFIT); Engineering & Industrial Technology (EIT)

PREREQUISITE: Passing grade in Algebra 1A and Teacher Approval. Students who have passed CP Algebra I are not eligible to take this course.

This course will include content for the Keystone Algebra I exam, including systems of equations, inequalities, polynomials and exponent rules, simplifying radicals, probability and statistics and data interpretation. This course will also include mathematical skills needed for career readiness. Students will work on non-calculator proficiency as well as use of calculator for applications.

1122 APPLIED MATHEMATICS

Length of course: Full Year

Credit: 1.0

Grade 11 -12

Weight: 2 (TP)

Pathway: Business, Finance, & Information Technology (BFIT); Engineering & Industrial Technology (EIT)

PREREQUISITE: Passing grade in Algebra 1A, Algebra 1B and Teacher Approval.

The first half of the year will cover topics related to geometry, including right triangles, parallel lines, similar triangles, ratios, area, volume and perimeter. The content will focus on problem solving using geometric principles and formulas. The second portion of this course will include mathematical skills related to numeracy, data analysis and probability. Students will work on non-calculator proficiency as well as use of a calculator for applications. Topics will include percents, measures of center and spread, reading and making graphs, probability and odds, and relationships between two sets of data. Students who have passed CP Geometry or a higher level course are not eligible to take this course.

1126 CP ALGEBRA 2

Length of course: Full Year

Credit: 1.0

Grade 9 -12

Weight: 3 (CP)

Pathway: All

PREREQUISITE: Algebra 1 and Geometry with a final average of 70% or higher. Students may take Geometry concurrently with Algebra 2 only if they have permission from their Algebra 1 teacher.

This course includes a review of linear equations, systems and inequalities. Students will work on exponent rules, radical expressions, simplifying expressions and applications. Students will also work on concepts related to quadratic, rational, exponential and logarithmic functions. Students taking this course are strongly encouraged to purchase a graphing calculator.

1127 HONORS ALGEBRA 2

Length of course: Full Year

Credit: 1.0

Grade 10 -12

Weight: 4 (H)

Pathway: All

PREREQUISITE: Honors Algebra 1 and Honors Geometry with final averages of at least 80%. CP Algebra 1 and CP Geometry with final averages of at least 93% in each. Students may take Geometry concurrently with Algebra 2 only if they have permission from their Algebra 1 teacher.

This course emphasizes problem solving, reasoning, discovery and the use of technology. Topics covered include functions, linear equations, systems, polynomials, rational expressions, irrational and complex numbers, quadratics, exponential and logarithmic functions and laws of exponents. Students are required to have a graphing calculator for this course.

1135 CP GEOMETRY

Length of course: Full Year

Credit: 1.0

Grade 9 -12

Weight: 3 (CP)

Pathway: All

PREREQUISITE: Algebra 1; Students may take Geometry concurrently with Algebra 2 only if they have permission from their Algebra 1 teacher.

Geometry is a course in plane and solid geometry. The course solves problems using a logical system of thought and algebraic methods. Topics to be studied include: deduction and proof, perpendicular lines and planes; parallel lines and planes; congruent triangles, similar polygons; circles, arcs, angles; constructions; coordinate geometry; areas and volumes of solid and plane figures, right triangle concepts. Effective use of algebra techniques is essential for success in this course. Students are required to have a scientific calculator for this course.

1117 HONORS GEOMETRY

Length of course: Full Year

Credit: 1.0

Grade 9 -12

Weight: 4 (H)

Pathway: All

PREREQUISITE: Algebra 1 in 8th grade with final grade of 85% (B) and teacher recommendation or CP Algebra 1 with a 93%

This course is broader in scope than traditional geometry and designed for those students who have completed a year of algebra in the eighth or ninth grade. The course includes the following topics: deduction and proof, perpendicular lines and planes; parallel lines and planes; congruent triangles, similar polygons; circles, arcs, angles; constructions; coordinate geometry; areas and volumes of solid and plane figures, right triangle concepts. Students are required to have a scientific calculator for this course.

1134 FUNCTIONS and STATISTICS

Length of course: Full Year

Credit: 1.0

Grade 11 -12

Weight: 3 (CP)

Pathway: All

PREREQUISITE: Algebra 2 and Geometry

This is a college preparatory course that includes a semester of algebraic techniques and applications, primarily focused on functions and graphs. The second semester of the course includes an introduction to statistics and probability. The fundamental aim of the course is to prepare students who will not need calculus for college level mathematics. Students who plan to attend either a two or four-year post-secondary school may elect this course. Students who have passed Precalculus (Math 1136 or a higher course) with a grade above 75% are not eligible to take this course.

1136 CP PRECALCULUS/TRIGONOMETRY

Length of course: Full Year

Credit: 1.0

Grade 10 -12

Weight: 3 (CP)

Pathway: Business, Finance, & Information Technology (BFIT); Engineering & Industrial Technology (EIT); Science & Health (SH)

PREREQUISITE: CP Algebra 2 with final average of at least 80% or completion of FST.

This course in advanced mathematics and trigonometry is for students who intend to take some level of college mathematics, including calculus, in the future. It extends prior experience with many topics of algebra and emphasizes the use of a graphing calculator. This course will address the following topics: polynomial functions and their inverses, complex numbers, logarithmic and exponential functions and their applications, trigonometric functions, trigonometric identities, application of trigonometry and selected topics in probability and statistics. Students are required to have a graphing calculator for this course.

1137 HONORS PRECALCULUS/TRIGONOMETRY

Length of course: Full Year

Credit: 1.0

Grade 10 -12

Weight: 4 (H)

Pathway: Business, Finance, & Information Technology (BFIT); Engineering & Industrial Technology (EIT); Science & Health (SH)

PREREQUISITE: Honors Algebra 2 and Honors Geometry with final averages of at least 80% OR CP Algebra 2/CP Geometry with a final average of at least 93%.

This pre-calculus course is intended for a student who plans to take advanced mathematics courses or whose future career plans involve mathematics or science. This course will address the following topics: radical and real expressions; linear and quadratic functions and their inverses; roots of polynomial functions; complex numbers; logarithmic and exponential functions; trigonometric functions and identities; systems of equations and inequalities; and selected topics in probability and statistics. Students are required to have a graphing calculator for this course. Students moving from CP Algebra 2 should plan to do summer review to be successful in moving levels.

1141 SENIOR MATH

Length of course: Full Year

Credit: 1.0

Grade 12

Weight: 2 (TP)

Pathway: All

PREREQUISITE: Teacher recommendation.

This course will address applications of mathematical formulas and algebraic procedures. It will include personal finance topics of credit, taxes, and compensation. It will also examine real-world applications of linear and exponential patterns. Basic algebra skills of solving and graphing equations will be reviewed. This course is recommended for students who need a third math credit as well as students who want a fourth year of math to prepare for employment, enlistment in the military or apprenticeship programs. This course is not intended for students who plan to pursue post-secondary education. Students who have passed Algebra II or a higher course may NOT enroll in this course.

1147 CALCULUS

Length of course: Full Year

Credit: 1.0

Grade 11-12

Weight: 3 (CP)

Pathway: Business, Finance, & Information Technology (BFIT); Engineering & Industrial Technology (EIT); Science & Health (SH)

PREREQUISITE: 75% or higher in Pre-Calculus or 70% or higher in Analysis

This high school level calculus course is designed to give the student the skills to use calculus in sciences, social sciences and business applications. It also provides an excellent foundation for further work in calculus. Topics to be studied include: limits and derivatives of functions, definite and indefinite integrals, simple differential equations, and applications of these techniques in solving related rates of change, optimization, volumes of revolution, and exponential growth. Students are required to have a graphing calculator for this course.

1148 CALCULUS AB – AP

Length of course: Full Year

Credit: 1.0

Grade 11 -12

Weight: 5 (AP)

Pathway: Business, Finance, & Information Technology (BFIT); Engineering & Industrial Technology (EIT); Science & Health (SH)

PREREQUISITE: Pre-Calculus with a 90% or higher final average or Analysis with an 80% or higher final average.

This course is designed to offer high school students a calculus course which is equivalent to a first year college calculus course. The curriculum is based on a syllabus designed by the College Board, which includes techniques and applications of derivatives and integrals. Topics to be studied include: limits and derivatives of functions, definite and indefinite integrals, simple differential equations, and applications of these techniques in solving related rates of change, optimization, volumes of revolution, and exponential growth. A satisfactory score on the A.P. exam may result in college credit from cooperating institutions. Students are required to have a graphing calculator for this course.

1149 STATISTICS – AP

Length of course: Full Year

Credit: 1.0

Grade 11 -12

Weight: 5 (AP)

Pathway: All

PREREQUISITE: 85% in Algebra 2 or 80 % in higher level course

This course is equivalent to a one semester college non–calculus based statistics course. The curriculum is designed by the College Board, which includes exploring data, regression, probability, experimental design and statistical inference. Students are evaluated on ability to perform procedures as well as interpret results. Strong critical thinking and reading skills are important for success in this course. A satisfactory score on the AP exam may result in college credit from cooperating institutions. Students are required to have a graphing calculator for this course.

1150 ADVANCED MATHEMATICS TOPICS

Length of course: Full Year

Credit: 1.0

Grade 11 -12

Weight: 5 (AP)

Pathway: Business, Finance, & Information Technology (BFIT); Engineering & Industrial Technology (EIT); Science & Health (SH)

PREREQUISITE: 90% or higher in AP Calculus and teacher recommendation

This course is designed for students who have been highly successful in AP Calculus and want to continue their study of calculus techniques and concepts. The course will also include work on vectors, matrices, conic sections, and polar coordinates. There will be flexibility of topics to be studied, depending on the interests and objectives of the students. Students enrolling in this course must be motivated, independent learners.

1139 INDEPENDENT STUDY MATHEMATICS

The independent study is designed to allow students to choose a specific subject area in mathematics and pursue it on an intensive basis. Students make their selections from various areas such as calculus, linear algebra, computers, modern abstract algebra, vector analysis or history of famous mathematicians. Students must have their selected topic approved by an appointed advisor. Advisors receive periodic reports and schedule conferences to evaluate student progress.

Independent Study is offered to provide individual students with the opportunity to explore special talents or interests. Students will work with a classroom teacher to set personal learning goals and to determine the type of project or learning experience they would like to pursue. The classroom teacher and student will agree upon and determine the credit value (.5, 1.0) and how a grade will be determined (percentage grade or Pass/Fail). Independent study is designed to supplement a student’s educational pathway but cannot exempt a student from Board approved core graduation requirements. Students must complete Independent Study paperwork and be approved for the course by a building administrator.