# Mathematics Department

The Bethlehem Area School District Mathematics program of studies offers a variety of classes aimed at providing a strong mathematical foundation for life after high school.  Teachers present content through direct instruction, inductive lessons, investigations, and technology.  Students are challenged at all levels from core learning to many honors and Advanced Placement courses.

## Mathematics Recommended Course Sequence

Note: Students may also choose to take two math courses during any year.
*Indicates a Liberty only course
Algebra 1Honors Geometry
Geometry
Honors Algebra 2
Algebra 2
Honors Precalculus
Precalculus
AP Calculus
Calculus
AP Statistics
Statistics
College Mathematics
Algebra 1
Honors Geometry
Geometry
Honors Algebra 2
Algebra 2
Standards Algebra 2
Honors Precalculus
Precalculus
Personal Finance
Statistics
College Mathematics
Math 8Algebra 1
Algebra 1A
Geometry
Standards Geometry
Algebra 1
Algebra 1A
Algebra 2
Standards Algebra 2
Geometry
Standards Geometry
Algebra 1
Precalculus
Personal Finance
Statistics
College Mathematics

HONORS ALGEBRA 1 (MA1000)1.0 credit

Prerequisites: See Honors Program Recommendations

This course contains the standard topics of Algebra 1 such as variables, formulas, the real number system, linear equations and inequalities, the graphs of relations and functions, probability and data analysis. The course also integrates statistics/probability, direct and inverse variation, and systems of equations and inequalities. These topics will be taught and learned in greater depth since there are more challenging problems and a greater emphasis on problem solving than Algebra 1. Notes: The grade for this course is weighted. This course is strongly recommended for those students who may consider Advanced Placement courses.

ALGEBRA 1 (MA1002) 1.0 credit

Algebra 1 is the gateway course to higher mathematics.  This course is designed to emphasize the development of concepts, skills and techniques for use with variables, formulas, the real number system, linear equations, inequalities, the graphs of relations and functions, probability, and data analysis.

ALGEBRA 1A (MA1004)  1.0 credit

Topics in this course include: exploring and communicating mathematics, using measures and equations, representing data, coordinates and functions, and equations for problem solving.

HONORS ALGEBRA 2 (MA2000) 1.0 credit

Prerequisites: See Honors Program Recommendations

This is a highly intensive second year algebra course.   The course includes:  relations, functions and variations; first and second degree equations and inequalities of one and more than one variable; polynomials and factoring; rational and irrational numbers; systems of equations and inequalities; and exponents, imaginary numbers and logarithms.  The conic sections, progressions, permutations and combinations, the binomial expansion and statistical procedures are also included. Notes: The grade for this course is weighted. This course is strongly recommended for those students who may consider Advanced Placement courses.

This course is designed to get students honors-ready.  Topics will be the same as Honors Algebra 2, but with more supports and a focus on filling in foundational knowledge.  Students will start the course with less independence, but will work toward an honors level of independence by the end of the course.

ALGEBRA 2 (MA2002) 1.0 credit

This is a second year algebra course. The course includes: relations, functions and variations; first and second degree equations and inequalities of one and more than one variable; polynomials and factoring; rational and irrational numbers; systems of equations and inequalities; and exponents, imaginary numbers and logarithms. Permutations and combinations and statistical procedures are also included.

STANDARDS ALGEBRA 2 (MA2003) 1.0 credit

This course extends Algebra 1 skills and uses calculators to assist problem solving. Topics include graphing, systems of linear equations and inequalities, and quadratics.

HONORS GEOMETRY (MA3000) 1.0 credit

Prerequisites: See Honors Program Recommendations

This is an accelerated course in geometry with an emphasis on deductive reasoning.  Topics include angles, parallel and perpendicular lines, congruent and similar triangles, circles, coordinate geometry, transformations, right triangle trigonometry, advanced constructions, polyhedral, applications of area and volumes, using algebra skills, using graphical representations of data, and the introduction of other geometries. Notes: The grade for this course is weighted. This course is strongly recommended for those students who may consider Advanced Placement courses.

This course is designed to get students honors-ready.  Topics will be the same as Honors Geometry, but with more supports and a focus on filling in foundational knowledge.  Students will start the course with less independence, but will work toward an honors level of independence by the end of the course.

GEOMETRY (MA3002) 1.0 credit

Topics include angles, parallel and perpendicular lines, congruent and similar triangles, circles, coordinate geometry, transformations, right triangle trigonometry, advanced constructions, polyhedral, applications of area and volumes, and the introduction of other geometries.

STANDARDS GEOMETRY (MA3003) 1.0 credit

This course is designed for 10th and 11th grade students who have successfully completed Algebra 1A and 1B. Topics in this course include: ratio and proportion, right triangle trig and the Pythagorean Theorem, solving algebraic equations and formulas, taking surveys, graphing, parallel lines and angles, and standard deviation.

HONORS PRECALCULUS (MA4000) 1.0 credit

Prerequisites: See Honors Program Recommendations

This accelerated course incorporates topics from both trigonometry and advanced algebra with a heavy emphasis on modern technology. Topics include the graphing and algebra of functions polynomial, rational, trigonometric, exponential and logarithmic equations, trigonometry of triangles, trigonometric equations and identities, polar coordinates and complex numbers, conic sections, matrix algebra, sequences and series, probability and limits, and an introduction of calculus. Notes: The grade for this course is weighted. This course is strongly recommended for those students who may consider Advanced Placement courses.

PRECALCULUS (MA4002) 1.0 credit

Topics include the graphing and algebra of polynomial, rational, trigonometric, exponential and logarithmic equations, trigonometry of triangles, trigonometric equations and identities, polar coordinates and complex numbers, conic sections, matrix algebra, sequences and series, probability and limits, and an introduction of calculus.

AP STATISTICS (MA5030) 1.0 credit

Prerequisites: See Honors Program Recommendations

Topics covered will consist of major concepts and tools that are used in collecting, analyzing, and drawing conclusions from data.  Topics will include concepts such as exploratory data analysis, fundamentals of designing a study, probability models, and inferential statistics. This course will also illustrate how statistics is used in a variety of fields. Graphing calculators (TI-83 or TI-89) with statistical capabilities will be used. Students are encouraged to take the Advanced Placement Examination. Note: The grade for this course is weighted.

STATISTICS (MA4022) 1.0 credit

This course strikes a balance between statistical computation, decision-making and the conceptual understanding of statistics so that students can make informed “real world” decisions.  Topics will include analysis of single variable and bivariate data, probability, distributions (probability, normal and Poisson), inferential statistics and hypothesis testing. This course satisfies

AP CALCULUS (MA5000) 1.0 credit

Prerequisites: See Honors Program Recommendations

Calculus is the mathematics of change and motion and rests upon the fundamental concept of limit. This college level course contains polynomial, trigonometric, exponential and logarithmic functions; limits and continuity; the derivative; application of the derivative; the integral; applications of the integral; and the fundamentals of analytic geometry. Emphasis is on both algebraic and graphical approaches. Students are encouraged to take the Advanced Placement Examination. Notes: The grade for this course is weighted. A graphing calculator is recommended.

CALCULUS  (MA4012) 1.0 credit

Calculus is the mathematics of change and motion and rests upon the fundamental concept of limit.  This course contains polynomial, exponential and logarithmic functions; limits and continuity; the derivative; application of the derivative; the integral; applications of the integral; and the fundamentals of analytic geometry.

COLLEGE MATHEMATICS (MA4032) 1.0 credit

Students will complete mathematics coursework to prepare for the transition from BASD to college.  Students will use both real and complex numbers to explore the following topics: solving linear, polynomial, ratios, absolute value, and radical equations, inequalities, graphing functions, problem solving, solving systems of linear equations, operations using and simplifying exponents, factoring polynomials, simplifying rational and radical expressions. Successful completion of the course competencies will satisfy a Northampton Community College remedial mathematics course. Note: Placement test will be given in May of junior year.

PERSONAL FINANCE (MA4042) 1.0 credit

This course will develop mastery of mathematical skills as they apply to real life situations.  The students will be taught to think critically and apply today’s technology while studying topics from probability, consumerism, taxes, investment, credit and budgeting.  Included in the course will be statistics in one or two variables and data analysis.  Optional topics will include selected topics from discrete mathematics.

MATHEMATICS ELECTIVES

Academic Mathematics is a one-semester course that prepares students to successfully meet the academic demands of high school curricula. This course provides students with multiple opportunities to practice and master mathematical concepts and study skills across content areas. Special emphasis is placed on the development of concepts, skills and techniques for use with variables, formulas, the real number system, linear equations, inequalities, the graphs of relations and functions, probability, and data analysis.

AP CALCULUS AB EXTENSION (MA5010) 0.5 credit

This course is a review of Calculus topics and a formal preparation for the AB Advanced Placement Examination in Calculus.

AP CALCULUS BC EXTENSION (MA5020) 0.5 credit

This course serves a dual purpose: the additional Calculus topics of polar coordinates, vector analysis and series as well as the formal preparation for the BC Advanced Placement Examination in Calculus.

SAT/ACT MATHEMATICS (MA9009) 0.5 credit

SAT/ACT Math preparation is general review of mathematics preparing the students to take the SAT and/or ACT.  It is a review of arithmetic, geometry, algebra, and statistics.