MATHEMATICS DEPARTMENT

 

Integrated Math II (418)

 

Integrated math provides students with a spiral curriculum that encompasses algebra, geometry, probability,statisticsand data analysis each and every year over the course of three years. The program is meeting our goal of getting everyone to algebra 2 before they graduate.

 

       MAT418         1.0 credit               Prerequisite: See chart on pages 42-44

 

Geometry 404

 

This course is designed to incorporate basic Algebra skills into a geometric setting. Students will be required to use problem solving skills, oral and written communications, projects and structured activities to develop their reasoning and logic skills. Emphasis in this course will focus on transitioning from abstract thinking to specific applications through inductive and deductive reasoning. Students will extend their knowledge through a fundamental geometric theory system. Topics include triangles, parallel lines, coordinate geometry, quadrilaterals, right triangles, similar figures, volume and area.

 

       MAT404         1.0 credit               Prerequisite:See chart on pages 42-44

 

Honors Algebra II 406

Algebra II 407

 

This course will extend and develop concepts learned in Algebra I and Geometry as well as prepare students for the fundamentals needed in Pre-Calculus and Calculus. Students will develop their problem-solving skills and drawing connections to real-life situations to give Algebra greater meaning. Graphing calculators will be used extensively to aid in data analysis and investigating mathematical concepts. Topics include systems of linear equations and inequalities, quadratic functions, matrices and determinants, functions and relations, radicals, complex numbers, exponentials, polynomial and rational functions, trigonometric ratios, sigma notation, logarithms, probability and statistics.Honors Algebra II 406will receive honors credit.

 

       MAT406         1.0 credit               Prerequisite:See chart on pages 42-44

       MAT407         1.0 credit

 

Pre-Calculus/Trigonometry Functions 415

 

This course is designed for students planning to go to college. The course will cover the topics of trigonometry and elementary functions, circular trigonometric functions and their graphs, sum and difference formulas and related reduction identities, trigonometric equations, inverses of trigonometric functions, trigonometric solutions of triangles and the Law of Sines and Cosines. The course will also explore functions and their graphs, logarithmic and exponential functions and their graphs. This course is designed to give a solid foundation in topics mentioned and will prepare the student for entry into Freshman College Calculus.

 

       MAT415         1.0 credit               Prerequisite:See chart on pages 42-44

 

Honors Pre-Calculus/Trigonometry Functions 409

 

This course is designed for accelerated college preparatory students planning to takeAP Calculus. It is intended to give a foundation in fundamental topics from trigonometry and elementary functions, circular trigonometric functions and their graphs, sums and differences formulas and related reduction identities, trigonometric equations, inverses of trigonometric functions, trigonometric solutions of triangles, complex numbers, and introductions to limits.This course will receive honors credit.

 

       MAT409         1.0 credit               Prerequisite:See chart on pages 42-44

 

Statistics and Trigonometry 410

 

This year-long course covers two distinct topics. One semester serves as an introduction to statistics. Topics covered include summarizing and presentation of numerical data, probability and their distributions, the normal distribution and linear regression. The other semester spotlights trigonometry. Some topics include a study of the six trigonometric functions and their graphs, Law of Sines, Law of Cosines, trigonometric identities and inverse trig functions.

 

       MAT410         1.0 credit               Prerequisite:See chart on pages 42-44


 

SATPrep Course 412

 

TheSATPrep Course, open to sophomores, juniors and seniors, is designed to help students improve theirSATscores by familiarizing students with various test taking strategies and test content. Ideally, students should register for this course prior to taking theSATfor the final time. Students will be able to identify their weaknesses by pre-testing and take a series of actualSATpractice tests. Students will also learn time-saving techniques and short-cuts to apply to theSATproblems. Students will complete a nine week session of Mathematics and a nine week session of Reading Comprehension/Essay writing to prepare them for the newSATexamination. This course is graded on a pass or fail basis.

 

       MAT412         0.5 credit               Prerequisite:Completed Grade 9

 

Statistics II 413

 

This semester course is designed as extensions of Statistics I. Topics include probability, distribution, Central Limit theorem, and inferential statistics.

 

       MAT413         0.5 credit               Prerequisite:See chart on pages 42-44

 

Pre-Calculus/Calculus 414

 

This course will explore functions and their graphs and exponential functions, logarithmic functions and their graphs. This course is for the college-bound student who has already taken Statistics and Trigonometry. Topics include analysis of graphs, limits of a function, and derivatives. A graphing calculator will be used consistently in this course.

 

       MAT414         1.0 credit               Prerequisite:See chart on pages 42-44

 

Calculus 416

 

This year-long course is designed for college-bound students and is intended to be rigorous and challenging. Topics include analysis of graphs, limits of functions, understanding the derivative graphically, numerically, analytically and verbally as a rate of change, the definite integral as a limit of Riemann sums, integrals, differential equations, and representations of differential equations with slope fields, and applications to modeling. A TI-89 graphing calculator will be used consistently.

 

       MAT416         1.0 credit               Prerequisite:See chart on pages 42-44

 

Financial Math 427

 

This practical mathematics course is designed to provide an understanding of typical mathematics calculations in the business world. Emphasis will be placed on the calculation process as well as the analysis of the calculation. In addition to the computation, students will utilize spreadsheet technology applicable to the various topics covered throughout the course.

 

       MAT427         1.0 credit               Prerequisite: See chart on pages 42-44

 

Building Mathematical Foundations I 285

 

A one semester mathematical foundations class will be required for all freshmen who scored Basic or Below Basic on the 8thgrade PSSA Assessment in math. The class will help to provide students with strong mathematical foundations. This course will include a semester of mathematical strategies and concepts presented through mini lessons and through a computerized mathematical program. The course will focus on strengthening students’ skills needed to become more competent mathematicians.

        MAT285         0.25credit              Prerequisite: Score of Basic or Below Basic on the 8thgrade PSSA in math

 

Building Mathematical Foundations II 286

 

The Building Mathematical Foundations II course is a nine-week course that is required for all seniors who scored basic or below basic on the 11thgrade PSSA Assessment in math. The class will utilize both technology and teacher led instruction focusing on the Pennsylvania Academic Standards for Mathematics. Student progress will be tracked using a series of formative and summative assessments.

         MAT286         .25 credit               Prerequisite:Score of Basic or Below Basic on 11thgrade PSSA in math


AP Statistics/Basic Applied Statistics (CHS) 905

 

This is an introductory college-level course in statistics and probability. The use of statistical methods in the modern world makes it imperative that students understand the fundamental ideas that underlie decisions that are reached by these methods. Probability will help students understand the kinds of regularity that occur amid mathematical models in the real world. Mathematical problems with computer solutions will be emphasized. This course is aimed at students who plan to enter such fields as economics, business, education, psychology, biology, medicine, mathematics, and engineering which now require statistics for their effective pursuit.(Fourcredits from the University of Pittsburgh can be earned when taken as a College in High School course).AP credit will be given.

 

       MAT905         1.0 credit               Prerequisite:See chart on pages 42-44

 

AP Calculus/Calculus with Analytic Geometry (CHS)906

 

This course is designed for accelerated students who plan to take the AP exam. It is intended to be rigorous and challenging. Topics included are analysis of graphs, limits of a function, understanding the derivative graphically, numerically, analytically, and verbally and as a rate of change, the definite integral as a limit of Riemann sums, integrals, differential equations, and representations of differentiated equations with slope fields, and applications and modeling. ATI-89graphing calculator will be consistently used in class.AP credit will be given.(Fourcredits from Seton Hill University can be earned when taken as a College in High School course).

 

       MAT906         1.0 credit               Prerequisite:See chart on pages 42-44

 

Calculus II/Calculus 2 with Analytic Geometry (CHS) 916

 

This course is designed for the serious Math student who has completed AP Calculus 906. It is taught as a second year college-level course focusing on all the topics of AP Calculus AB and beyond. Topics include: Logarithmic, Exponential and other Transcendental Functions; Differential Equations; Applications of Integration; Integration Techniques, L’Hopital’s Rule, Improper Integrals; and Infinite Series. This course is an excellent option for students who plan to focus on mathematics and/or Engineering in college. Graphing calculator applications are included.AP credit given.(Fourcredits fromSetonHillUniversitycan be earned when taken as a College in High School course).

 

       MAT916         1.0 credit               Prerequisite:See chart on pages 42-44

 

CalculusIII/Calculus 3 with Analytic Geometry (CHS) 917

 

This course is designed for the serious math student who has completed AP Statistics 905, AP Calculus 906 and Honors Calculus II 916. It is taught as a third semester college-level course focusing on all the topics of AP Calculus AB and beyond. Topics include: Conics, Parametric Equations and Polar Coordinates, Vectors and the Geometry of Space, Vector-Valued Functions, Functions of Several Variables, Multiple Integration and Vector Analysis. This course is an excellent option for students who plan to focus on mathematics and/or engineering in college. Graphing calculator applications are included.AP credit given.(Fourcredits from Seton Hill University can be earned when taken as a College in High School course).This course is only offered online.

 

       MAT917         1.0 credit               Prerequisite: See chart on pages 42-44

 

Functional Math 9 (421), 10 (422), 11 (423), 12 (424)

 

These courses focus on providing students with a modified math curriculum to address the student’s specific Individual Education Plan goals. These courses are designed to accommodate students who are working significantly below grade level who would not be successful meeting the course requirements of the general curriculum without extensive supports. The courses will address individual student needs to enhance math computations, problem solving, measurement, telling time and money concepts and will address math skills to build a solid foundation through extensive skills practice, real-life connections and functional daily living math skills. These courses are aligned to state standards.

 

       MAT421 (9)    1.0 credit               Prerequisite: As per student IEP

       MAT422 (10)

       MAT423 (11)

       MAT424 (12)


MATHCOURSESANDPREREQUISITES

 

 

8thto 9thGrade Options

 

Current Class

Final Grade

Should Schedule

Geometry

At least 88%

MAT406 H Algebra II

At least 70%

MAT407 Algebra II

 

 

 

Algebra I

At least 70%

MAT404 Geometry

Below 70%

Algebra I

 

 

 

Algebra I A

Below 70%

Algebra I

At least 70%

Algebra I B

 

 

 

PSSA Math Assessment

Required Course for Basic or Below Basic Score on 8thPSSA Math Assessment

MAT285 Building Math Foundations I

 

 

9thto 10thGrade Options

 

Current Class

Final Grade

Should Schedule

Algebra I

At least 60%

MAT404 Geometry

 

 

 

Algebra I B

At least 60%

MAT404 Geometry

 

 

 

Geometry MAT404

At least 92%

MAT406 H Algebra II

At least 60%

MAT407 Algebra II 

 

 

 

Honors Algebra II MAT406

At least 82%

MAT409 H Pre Calc/Trig

At least 70%

MAT415 Pre Calc/Trig

At least 60%

MAT410 Stats/Trig

 

 

 

Algebra II MAT407

At least 88%

MAT409 H Pre Calc/Trig

At least 70%

MAT415 Pre Calc/Trig

At least 60%

MAT410 Stats/Trig

 


MATHCOURSESANDPREREQUISITES

(continued)

 

 

10thto 11thGrade Options

 

Current Class

Final Grade

Should Schedule

Algebra I

At least 60%

MAT404 Geometry

 

 

 

Algebra I B

At least 60%

MAT404 Geometry

 

 

 

Integrated Math II

At least 92%

MAT407 Algebra II

 

 

 

Geometry MAT404

At least 92%

MAT406 H Algebra II

At least 60%

MAT407 Algebra II

At least 60%

Integrated Math II

 

 

 

Honors Algebra II MAT406

At least 60%

MAT410 Stats/Trig

At least 82%

MAT409 H Pre Calc/Trig

At least 70%

MAT415 Pre Calc/Trig

 

 

 

Algebra II MAT407

At least 88%

MAT409 H Pre Calc/Trig

At least 70%

MAT415 Pre Calc/Trig

At least 60%

MAT410 Stats/Trig

 

 

 

Statistics and Trigonometry MAT410

At least 70%

MAT413 Stats II

At least 70%

MAT905 AP Stats

At least 70%

MAT414 Pre Calc/Calc

 

 

 

Pre-Calculus MAT415

At least 88%

MAT906 AP Calc

At least 70%

MAT416 Calc

At least 70%

MAT905 AP Stats

 

 

 

Honors Pre-Calculus MAT409

At least 70%

MAT905 AP Stats

At least 70%

MAT416 Calc

At least 70%

MAT906 AP Calc

 


MATHCOURSESANDPREREQUISITES

(continued)

 

 

11thto 12thGrade Options

 

Current Class

Final Grade

Should Schedule

Integrated Math II

At least 60%

Financial Math

At least 92%

MAT407 Algebra II

 

 

 

Geometry MAT404

At least 92%

MAT406 H Algebra II

At least 60%

MAT407 Algebra II

At least 60%

MAT427 Financial Math

 

 

 

Honors Algebra II MAT406

At least 60%

MAT410 Stats/Trig

At least 82%

MAT409 H Pre Calc/Trig

At least 70%

MAT415 Pre Calc/Trig

 

 

 

Algebra II MAT407

At least 88%

MAT409 H Pre Calc/Trig

At least 70%

MAT415 Pre Calc/Trig or MAT905 AP Stats

At least 60%

MAT410 Stats/Trig

 

 

 

Honors Pre-Calculus MAT409

At least 70%

MAT905 AP Stats

At least 70%

MAT416 Calc

At least 70%

MAT906 AP Calc

 

 

 

Pre-Calculus MAT415

At least 88%

MAT906 AP Calc

At least 70%

MAT416 Calc

At least 70%

MAT905 AP Stats

 

 

 

Statistics and Trigonometry MAT410

At least 70%

MAT414Pre Calc/Calc

At least 70%

MAT413 Stats II

At least 70%

MAT905 AP Stats

 

 

 

Calculus MAT416

At least 70%

MAT905 AP Stats

 

 

 

AP Calculus MAT906

At least 70%

MAT916 Calc II

 

 

 

Honors Calculus II MAT916

At least 70%

MAT917 CalcIII

 

 

 

PSSA Math Assessment

Required Course for Basic or Below Basic Score on 11thPSSA Math Assessment

MAT286 Building Math Foundations II

 

 

 

AP Stats MAT905