• Welcome to the Belle Vernon Area School District Mathematics Curriculum Page
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    Elementary Mathematics Curriculum
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    Elementary Mathematics Resources
     
    Middle Mathematics Curriculum
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    Sixth Grade Math
    Sixth grade math will enable the students to build on previous mathematical knowledge and advance in the application of daily mathematical calculations and reasoning.  This knowledge will encompass:  math applications, whole numbers, decimals, data analysis, statistics, number theory, fractions, rational numbers, expressions and equations, relationship between fractions, decimals, and percents, geometry vocabulary and perimeter, probability, measurement including elapsed time, mental math, problem solving and algebra.  Additionally, this mathematical knowledge offers a transition between previous mathematical knowledge to the advanced study of secondary mathematical applications.
     
     
    Sixth Grade Math Lab
    This course reinforces, supplements, and builds on key foundation skills to help students become more successful in their regular mathematics class.
     

    Seventh Grade Pre-Algebra

    Pre-Algebra introduces students to concepts that will be further developed in higher-level mathematics classes (algebra, geometry, etc). Its purpose is to allow students to study mathematics in greater depth over an extended period of time.
     

    Seventh Grade Pre-Algebra A

    Pre-Algebra A introduces students to concepts that will be further developed in Algebra I. Its purpose is to allow students to study mathematics in greater depth over an extended period of time
     
     

    Seventh Grade Math Lab

    This course reinforces, supplements, and builds on key foundation skills to help students become more successful in their regular mathematics class.

     

    Eighth Grade Pre-Algebra B

    Pre-Algebra B is a continuation of Pre-Algebra A. Students are exposed to concepts that will be further developed in Algebra I.  Its purpose is to allow students to study mathematics in greater depth over an extended period of time.               
     

     

    Eighth Grade Algebra I

    This course provides the foundation of the study of higher levels of mathematics.  Topics to be covered include solving linear equations, solving inequalities, working with polynomials, special products and factoring, using fractions, graphs, verbal problems, systems, and rational and irrational numbers.  The intent of this is to develop the student’s power to think and work systematically. 
     

      

    Eighth Grade Math Lab

    This course reinforces, supplements, and builds on key foundation skills to help students become more successful in their regular mathematics class.

    High School Mathematics Curriculum
    Under Construction

     
    INTEGRATED MATH I
    Students will be introduced to topics from Algebra (solving equations with signed numbers, solving inequalities, graphing equations, and solving systems of equations by graphing), Geometry (angles, polygons, perimeter, area, volume, the Pythagorean Theorem, and similar triangles), Statistics, and Probability.
     
    INTEGRATED MATH II
    This course will expand on topics begun in Integrated Math I. Students will be taught topics from Algebra (solving more difficult equations with signed numbers, graphing equations, and writing equations of lines), Geometry (angles, polygons, perimeter, area, volume, the Pythagorean Theorem, and similar triangles), Statistics, Probability and Trigonometry.
     
    INTEGRATED MATH III
    This course continues and expands the learning process begun in Integrated Math II.  Topics covered include solving equations and formulas, basic statistics and basic geometry skills.
     

    ALGEBRA I

    This is the typical course in algebra for the student who has completed eight years of math through grade eight. The topics covered include: the study of variables; order of operations; solving one-step and two-step equations, including finding equations of lines and/or writing equations of lines, functions and relations; simplifying algebraic expressions, including polynomials, absolute value, inequalities, square roots and radical expressions; drawing and interpreting graphs, stem and leaf and box and whisker plots; use of proportions and percents in solving problems, probability and odds.

     

     
    ALGEBRA B

    This class is only offered to students who have taken Algebra I for a full year, but have not met requirements for the class. To meet the requirements for Algebra I you must maintain a minimum of 78% for 3 of 4 nine-week grading periods with a minimum of 78% for a final average. This class will offer an in depth review and enrichment of all Algebra I topics.

     

    GEOMETRY

    This course is designed for students to learn through investigating and discovering the ideas of Geometry. Inductive reasoning and activities lead to the formulation of conjectures about geometric principles such as: line and angle relationships, two dimensional figures, properties of figures (triangles, quadrilaterals, other polygons), congruence, circles, areas, the Pythagorean theorem, volumes and similarities.

     

     
    ACCELERATED GEOMETRY

    Topics in plane, solid, and coordinate geometry are included in this course. Both inductive and deductive proofs are required. Students are required to delve independently and cooperatively into applications of the geometry learned.

     

    Accelerated Geometry Curriculum Map 

     
    ALGEBRA II

    The topics covered in depth in this course include the properties and operations of real numbers, one variable equations and inequalities, absolute value sentences, linear equations and graphs, systems of equations, polynomials (simplification of, operations with, factoring of, and solving equations containing), rational expressions (simplification of, operations with, and solving equations containing), matrices, quadratic functions & graphs, the quadratic formula, complex number, probability, & statistics.

     

    ALGEBRA/GEOMETRY PART B

    Algebra topics include equations and inequalities in one variable, systems of equations and inequalities, and multiplication and factoring of polynomials. Students will write and graph equations of lines given points and/or slopes. Geometry topics include parallel and perpendicular lines, triangles, area, volume, and light triangle trigonometry. Additional topics include probability and analyzing scatter, box and whisker, and stem and leaf plots.

     

     
    ALGEBRA/GEOMETRY PART C

    This course will include the following topics: equations, inequalities, systems of equations, rational and irrational radical expressions, angles, triangles, circles, area and volume, right triangles, and coordinate geometry.

     

    ACCELERATED ALGEBRA II

    This course is the sequential course for those students who completed Acc. Geometry successfully as ninth graders. The topics covered in depth include: properties and operations of real numbers; one variable and absolute value equations and inequalities; algebraic theorems and proofs; linear equations and inequalities and their graphs; systems of equations; functions and relations; polynomials (simplification of, operation with, factoring of, and solving equations containing); rational expressions (simplification of, operation with, and solving equations containing); irrational and complex numbers (simplification of, operations with, and solving equations containing); quadratic equations and their solutions with/without the quadratic formula including analyzing by using the discriminate. These topics each involve practical applications through problem solving.

     

    ALGEBRA III / TRIGONOMETRY

    This course develops a foundation for the study of advanced mathematics. It is recommended that all college bound students take at least this course. Topics covered include coordinate geometry; conic sections, inequalities and their graphs, complex numbers, trigonometric functions, triangle trigonometry; and vectors.

     

    PRE-CALCULUS (HONORS COURSE)

    This is a course designed specifically for preparing students to take calculus on either the high school level or the college level. It will be a rigorous, demanding course which will include the study of coordinate geometry, conic sections, inequalities, functions, circle trigonometry, triangle trigonometry, exponents and logarithms, graphs of functions, techniques of equation solving, and an introduction to vectors, sequences, and series.

     

    PRE-CALCULUS

    This course continues topics from Algebra III/Trig including rational exponents, logarithms & exponential functions. It also introduces basic topics to be covered in calculus, such as limits, derivatives, and integrals.

     

     
    HONORS CALCULUS (HONORS COURSE)

    This is a rigorous course which will include the study of rate of change of a function, derivatives, application of derivatives, integration, and application of definite integrals, integration methods, and transcendental functions.

     

    AP CALCULUS AB (HONORS COURSE)

    This will be a rigorous, demanding course which should prepare the student in the same manner as a college-level calculus course. Students taking this course may obtain college credits through the advanced placement testing program. Topics to be covered include derivatives, anti-derivatives/integration, areas under curves, volumes of polygon regions, exponential functions and logarithms, and differential equations. Requirement: Students enrolled in this course must take the AP Exam in May. The benefits of this exam are listed in the “PROGRAM OF STUDIES” section of this selection guide. (College credit may be earned through the University of Pittsburgh provided payment of fees has been completed.)

     

    AP CALCULUS BC (HONORS COURSE)

    This will be a rigorous, demanding course which should prepare the student in the same manner as a second semester college-level calculus course. Students taking this course may obtain college credits through the advanced placement testing program. Topics to be covered include derivatives, anti-derivatives/integration, areas under curves, volumes of polygon regions, exponential functions and logarithms, and differential equations which are a continuation of those covered in the previous calculus course. Additional topics include integration techniques, polar curves, infinite series and parametric equations. Requirement: Students enrolled in this course must take the AP Exam in May. The benefits of this exam are listed in the “PROGRAM OF STUDIES” section of this selection guide.

     

    STATISTICS (HONORS COURSE)

    This course is designed for the college bound student. Topics to be covered are those of the methods and concepts of descriptive statistics and will cover displaying data, frequency distribution, summarizing data, probability theory, applied sampling, estimation, hypothesis testing, correlation, regression analysis and analysis of variance. (College credit may be earned through the University of Pittsburgh provided payment of fees has been completed.)

     

     
    PSSA ENHANCEMENT
    This course is based on standardized test practice. Most of the year will be review and practice of PSSA topics and the fourth nine weeks will prepare and review for the SAT, ACT, ASVAB, and other Standardized Tests. ***Note: Juniors who are at risk of not being proficient or those seeking to improve their standardized test scores may choose to take this course.