
Math
PREALGEBRA COURSE #30000
GRADE: 9 CREDITS: 1
LENGTH: 40 WEEKS PREREQUISITE: teacher and/or counselor recommendation
This course is the first in a 2year program designed to give students a stronger background in understanding the various branches of mathematics. Major topics in PreAlgebra that are covered if time allows: The language of Algebra including expressions, equations, order of operations and properties, Integers: adding, subtracting, multiplying and dividing, Addition and Subtraction Equations, solving equations with absolute value, mean median, mode and range, Multiplication and Division equations, multistep equations and solving equations with variables on both sides, solving equation with grouping symbols ( ), [ ]or { }, Solving proportions, percent problems, percent of change and probability, Relations, Functions, and variation, Linear equations, slope, writing equations in pointslope form, writing equations in slopeintercept form, scatter plots, graphing linear equations, parallel and perpendicular lines, Powers and exponents, multiplying and dividing exponents, negative exponents, scientific notation, square roots, and the Pythagorean Theorem, Polynomials: adding and subtracting, multiply a polynomial by a monomial, multiply binomials and special products, Factoring, GCF, factoring trinomials, special products, Graphing quadratic functions (parabolas), solving quadratic equations by graphing or factoring, exponential functions, Solve inequalities, systems of equations and radicals
Common Core ALGEBRA COURSE #30002
GRADE: 910 CREDITS: 1
LENGTH: 40 WEEKS PREREQUISITE: NONE
Common Core Exam in June
Concepts broken into 5 modules:
• Relationships between Quantities and Reasoning with Equations
• Descriptive Statistics
• Linear and Exponential Relationships
• Expressions and Equations
• Quadratic Functions and Modeling.
Common Core GEOMETRY COURSE #30003
GRADE: 911 CREDITS: 1
LENGTH: 40 WEEKS PREREQUISITE: ALGEBRA I
Geometry is a continuation of Algebra and extends the student's knowledge in algebraic concepts, probability, and rectangular coordinate geometry. In addition, students will cover the following concepts: Mathematical Systems, Euclidean Geometry, Analytical Geometry, Logic Quadratic Equations, and Transformational Geometry, Locus, Similarity, and Probability. Emphasis will be placed more on the reasoning behind problems and proofs. Students will take the Geometry Common Core Exam in June.
Intermediate GEOMETRY COURSE #30016
GRADE: 1012 CREDITS: 1
LENGTH: 40 WEEKS PREREQUISITE: Successful completion of Algebra CC course and 65+ on exam
This is a one year course in mathematics for high school students. This course is based on a three year integrated Math Curriculum and meets the requirement for a Regents diploma. This course will emphasize a practical approach to the study of Geometry. Example topics include study of angle relationships; transformations; constructions; triangle, quadrilaterals and circle properties and
relationships; right triangle and trigonometry; and geometric measurement and dimensions. Students will work at a differentiated pace and be required to take a district final exam.
INTRODUCTION TO COLLEGE ALGEBRA COURSE #30004
GRADE: 1112 CREDITS: 1
LENGTH: 40 WEEKS PREREQUISITE: INTERMEDIATE GEOMETRY OR COMMON COREGEOMETRY
This is a oneyear course designed for college bound students (both two year and four year colleges). This course will focus on skills that will be tested on a college entry math placement exam. Upon entering college, many students will be expected to take a math placement exam and depending on the results may be required to take and pay for a noncredit bearing course in preparation for the math course required for their degree. The main goal of this class is to prepare students for success on this test. This course is designed to refresh arithmetic skills while developing basic algebraic skills in preparation for college math courses. The following algebraic topics will be covered: operations with real numbers and algebraic expressions; linear equations; simple word problems; graphing; systems of equations; quadratic equations; operations with radicals; and more.
Common Core ALGEBRA 2 COURSE #30006
GRADE: 1012 CREDITS: 1
LENGTH: 40 WEEKS PREREQUISITE: Successful completion of ALGEBRA I & GEOMETRY and exam with teacher recommendationAll Students are required to bring their own TI83 graphing calculator to class. This is a oneyear course intended to be the third course in mathematics for high school students. This course meets the requirements
for an Advanced Regents diploma. This course builds on students’ work with linear, quadratic, and exponential functions. Students extend their repertoire of functions to include rational, radical, and trigonometric functions. Students work closely with the expressions that define the functions and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Students also spend a portion of the year on probability and statistics.
PRECALCULUS COURSE #30008
GRADE: 1112 CREDITS: 1
LENGTH: 40 WEEKS PREREQUISITE: ALGEBRA 2/TRIGONOMETRY
This course is designed to review and build upon the Algebra 2/Trig curriculum in preparation for calculus and other college level math courses. The emphasis is uniquely upon mastery of key concepts and algebraic procedures from all previous math courses. Therefore, a SERIOUS COMMITMENT TO DAILY HOMEWORK IS REQUIRED. Additionally, new topics of study will include polar coordinates, inverse trig functions, trig identities, sinusoidal transformations, matrices, vectors, solving higher degree equations, conics, and binomial probability. Niagara Community College (NCCC) awards 4 credit hours for this collegelevel course. There is a tuition
fee payable by September. This course is recommended for all accelerated Juniors and seriouslycommitted Seniors. This course will be weighted at 1.07
COLLEGELEVEL CALCULUS I COLLEGELEVEL CALCULUS 2
(Differential Calculus) #30012 (Integral Calculus) #30013
GRADE: 12 CREDITS: 1 GRADE: 12 CREDITS: 1
LENGTH: 20 WEEKS PREREQUISITE: PRECALCULUS LENGTH: 20 WEEKS PREREQUISITE: College Calculus 1
These courses are offered to those students who have been accelerated and are seeking college credit for calculus. Calculus is the mathematics of change and motion. Differential Calculus involves finding the rate at which a variable quantity is changing. Integral Calculus deals with the problem of finding the function when the rate of change is given. The course involves a thorough study and mastery of the following topics: Cartesian Plane and Functions, Limits and Continuity, the Derivative and its Applications, the Integral and its Applications, Logarithmic and Exponential Functions, Trigonometric Functions, Integration Techniques, Integration Applications and Infinite Series. Niagara University prepares the midterm and final exams for both Calculus 1 and Calculus 2 and awards 4 credit hours per semester. There is a tuition fee each semester, plus registration fee, payable in September and February. This course will be weighted at 1.07.
STATISTICS COURSE #30015 MAT 164
GRADE: 12 CREDITS: 1
LENGTH: 40 WEEKS PREREQUISITE: 2 or more math courses completed and passed a Regents exam
This will be an introduction to statistical concepts including descriptive statistical, basic probability, probability distributions, estimation of parameters, hypothesis testing using one or two samples, correlation and regression. Computer applications and simulations are done using EXCEL, MINITAB, or other technology tools. Senior BOCES students will occasionally need to finish assignments outside of class time. This course will be weighted at 1.07. NOTE: Students who have found previous math classes to be difficult are encouraged to enroll in the other math electives. (NCCC 3 credit course – Students can pay for college credit)
COURSES RECEOMMENDED FOR SENIORS IN PREALEGRBA TRACK:
PROBLEM SOLVING STRATEGIES COURSE #30010
GRADE: 1112 CREDITS: 0.5
LENGTH: 20 WEEKS PREREQUISITE: must have earned 2 credits in math and passed a Regents examIn this course students will learn specific techniques for solving problems ranging from simple to complex. “Brain teasers” are heavily involved. Much of the class time will be spent working in groups and presenting your solutions to the class. Specific problem solving techniques include: drawing a diagram, making a systematic list, eliminating possibilities, matrix logic, looking for patterns, guess and check, reducing to an easier problem, using manipulative, working backwards and others.
CONSUMER MATH COURSE # 30014
GRADE: 1112 CREDITS: 0.5
LENGTH: 20 WEEKS PREREQUISITE: must have earned 2 credits in math and passed a Regents examThis math course will reinforce general math topics to include budgeting, taxation, credit, banking services, insurance, buying and selling products, homes and services and managing personal income and investment.

Faculty
Ms. Ames  tames@royhart.org
Mrs. Cheskiewicz  dcheskiewicz@royhart.org
Mrs. Robida  arobida@royhart.org
Mr. Reith  jreith@royhart.org