|Algebra 1 - Part 1, Part 2|
Algebra 1, Part 1 is the first part in a multipart sequence of Algebra
1. This course generally covers the same topics as the first semester of
Algebra 1, including the study of properties of rational numbers (i.e.,
number theory), ratio, proportion, and estimation, exponents and
radicals, the rectangular coordinate system, sets and logic, formulas,
and solving first-degree equations and inequalities.
Part 2 is the second part in a multipart sequence of Algebra 1. This
course generally covers the same topics as the second semester of
Algebra 1, including the study of properties of the real number system
and operations, evaluating rational algebraic expressions, solving and
graphing first-degree equations and inequalities, translating word
problems into equations, operations with and factoring of polynomials,
and solving simple quadratics.
|Algebra 1, 2, 3|
Algebra 1 includes the study of properties and operations of the real
number system; evaluating rational algebraic expressions; solving and
graphing first-degree equations and inequalities; translating word
problems into equations; operations with and factoring of polynomials;
and solving simple quadratic equations.
Algebra 2 topics
typically include field properties and theorems; set theory; operations
with rational and irrational expressions; factoring of rational
expressions; in-depth study of linear equations and inequalities;
quadratic equations; solving systems of linear and quadratic equations;
graphing of constant, linear, and quadratic equations; properties of
higher-degree equations; and operations with rational and irrational
Algebra 3 courses review and extend algebraic concepts for students who have already taken Algebra 2. Course topics include, but are not limited to, operations with rational and irrational expressions; factoring of rational expressions; linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; properties of higher-degree equations; and operations with rational and irrational exponents. The courses may introduce topics in discrete mathematics, elementary probability and statistics, matrices and determinants, and sequences and series.
Algebra 2/Trigonometry courses combine trigonometry and advanced algebra topics and are usually intended for students who have attained Algebra 1 and Geometry objectives. Topics typically include right trigonometric and circular functions, inverses, and graphs; trigonometric identities and equations; solutions of right and oblique triangles; complex numbers; numerical tables; field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear and quadratic equations; and properties of higher-degree equations.
|Algebra Functions Data Analysis|
Within the context of mathematical modeling and data analysis, students
will study functions and their behaviors, systems of inequalities,
probability, experimental design and implementation, and analysis of
|AP Calculus AB|
Following the College Board’s suggested curriculum designed to parallel
college-level calculus courses, AP Calculus AB provides students with an
understanding of the concepts of calculus and experience with its
methods and applications. These courses introduce calculus and include
the following topics: functions, graphs, limits, and continuity;
differential calculus (including definition, application, and
computation of the derivative; derivative at a point; derivative as a
function; and second derivatives); and integral calculus (including
definite integrals and antidifferentiation).
|AP Calculus BC|
AP Calculus BC applies the content and skills learned in AP Calculus AB to parametrically defined curves, polar curves, and vector-valued functions; develops additional integration techniques and applications; and introduces the topics of sequences and series.
Intended for students who have attained the objectives of Algebra 1, Computer Mathematics with Algebra courses include a study of computer systems and programming and use the computer to solve mathematics problems.
Consumer Mathematics courses reinforce general mathematics topics (such
as arithmetic using rational numbers, measurement, ratio and proportion,
and basic statistics) and apply these skills to consumer problems and
situations. Applications typically include budgeting, taxation, credit,
banking services, insurance, buying and selling products and services,
home and/or car ownership and rental, managing personal income, and
Geometry courses, emphasizing an abstract, formal approach to the study
of geometry, typically include topics such as properties of plane and
solid figures; deductive methods of reasoning and use of logic; geometry
as an axiomatic system including the study of postulates, theorems, and
formal proofs; concepts of congruence, similarity, parallelism,
perpendicularity, and proportion; and rules of angle measurement in
|Geometry and the Visual Arts|
Students will discover how mathematics is related to art by studying
examples of works of art from cultures around the world, examining the
mathematical concepts and techniques underlying these works, and using
graphic design software and other software tools to create original
works of art employing these ideas and techniques. A tentative list of
topics to be covered includes: recursion, symmetry transformations,
perspective and projections, color mixing, the golden ratio, and
sequences. Examples will be drawn from Asian, African and Arabic art, as
well as European art.
|IB Math: Analysis and Approaches I|
This course focuses on developing important mathematical concepts in a coherent and rigorous way, with an emphasis on communication and independent inquiry. The course reviews the fundamentals of algebra, geometry and trigonometry, before delving into an in-depth investigation of statistics and single-variable calculus.
|IB Math: Applications and Interpretations I, II|
The course focuses on introducing important mathematical concepts with
an emphasis on statistics and introductory calculus. Instruction will
focus on the application of mathematics to real-world phenomena and the
interpretation of advanced mathematical notions in terms of concrete
|Probability & Statistics|
Probability and Statistics courses introduce the study of likely events
and the analysis, interpretation, and presentation of quantitative data.
Course topics generally include basic probability and statistics:
discrete probability theory, odds and probabilities, probability trees,
populations and samples, frequency tables, measures of central tendency,
and presentation of data (including graphs). Course topics may also
include normal distribution and measures of variability.
|PVCC MTH 154/155 Quantitative Reasoning/Statistics|
PVCC MTH 154 Quantitative Reasoning presents topics in proportional reasoning, modeling, financial literacy, and validity studies (logic and set theory). Focuses on the process of taking a real-world situation, identifying the mathematical foundation needed to address the problem, solving the problem, and applying what is learned to the original situation. This is a Passport Transfer course.
PVCC MTH 155 Statistics presents elementary statistical methods and concepts including visual data presentation, descriptive statistics, probability, estimation, hypothesis testing, correlation, and linear regression. Emphasis is placed on the development of statistical thinking, simulation, and the use of statistical software. This is a Passport Transfer course.
|PVCC MTH 161/261 PreCalculus I/Applied Calculus I|
MTH 161 PreCalculus I presents topics in power, polynomial, rational, exponential, and logarithmic functions, and systems of equations and inequalities. Credit will not be awarded for both MTH 161: Precalculus I and MTH 167: Precalculus with Trigonometry or equivalent. This is a Passport Transfer course.
MTH 261 Applied Calculus I introduces limits, continuity, differentiation and integration of algebraic, exponential and logarithmic functions, and techniques of integration with an emphasis on applications in business, social sciences and life sciences. This is a Passport Transfer course.
|PVCC MTH 265/267 Calculus III/Differential Equations|
MTH 265 Calculus III focuses on extending the concepts of function, limit, continuity, derivative, integral and vector from the plane to the three-dimensional space. Topics include vector functions, multivariate functions, partial derivatives, multiple integrals, and an introduction to vector calculus. Designed for mathematical, physical and engineering science programs.
MTH 267 Differential Equations introduces ordinary differential equations. Includes first order differential equations, second and higher order ordinary differential equations with applications, and numerical methods.
|Skills Development Math 1, 2, 3|
This is an individualized and comprehensive course that covers the concepts and skills necessary to be successful in Algebra 1.