Loudoun County Public Schools
58 | P a g e
reasoning, problem solving, critical thinking, and multiple
representations are emphasized throughout the course.
Algebra II 560000
Virtual Loudoun 560V00
Grade(s): 9-12 Credit: 1
Prerequisite: Algebra I and Geometry
Algebra II provides a thorough study of functions,
including parent functions, families of functions, and
transformational graphing. Transformational graphing uses
translations, reflections, dilations, and rotations to
generate a family of graphs from a parent graph. The
continued study of equations, systems of equations,
inequalities, and systems of inequalities builds on Algebra I
concepts while polynomials, imaginary numbers in the
complex number system, and sequences and series allow
additional opportunities for modeling and practical
applications.
Graphing calculators and other emerging
technologies are incorporated into instruction to enhance
teaching and learning. Mathematical communication,
reasoning, problem solving, critical thinking, and multiple
representations are emphasized throughout the course.
Algebra II/Trigonometry 571000
Virtual Loudoun 571V00
Grade(s): 9-12 Credit: 1
Prerequisite: Algebra I and Geometry
SOL Test Algebra II/Trigonometry provides a thorough
study of functions, including parent functions, families of
functions and transformational graphing. Transformational
graphing uses translations, reflections, dilations, and
rotations to generate a family of graphs from a parent graph.
The continued study of equations, systems of equations,
inequalities, and systems of inequalities builds on Algebra I
concepts while polynomials, imaginary numbers in the
complex number system, matrices, and sequences and
series allow additional opportunities for modeling and
practical applications.
The study of trigonometry includes trigonometric
definitions, applications, equations, and inequalities. The
connections between right triangle ratios, trigonometric
functions, and circular functions are emphasized.
Graphing calculators and other emerging
technologies are incorporated into instruction to enhance
teaching and learning. Mathematical communication,
reasoning, problem solving, critical thinking, and multiple
representations are emphasized throughout the course.
Statistics and Probability 597700
Grade(s): 10-12 Credit: 0.5
Prerequisite: Algebra II
Elementary probability and statistics are studied
with an emphasis on collecting data and interpreting data
through numerical methods. Specific topics include the
binomial and normal distributions, probability, linear
correlation and regression, and other statistical methods.
Students are expected to understand the design of statistical
experiments. They are encouraged to study a problem,
design and conduct an experiment or survey, and interpret
and communicate the outcomes. Through meaningful
activities and simulations, students are provided with
experiences that model the means by which data are
collected, used, and analyzed. This course enables students
to be wise users of statistical materials.
Graphing calculators and other emerging
technologies are incorporated into instruction to enhance
teaching and learning. Mathematical communication,
reasoning, problem solving, critical thinking, and multiple
representations are emphasized throughout the course.
Discrete Mathematics 599700
Grade(s): 10-12 Credit: 0.5
Prerequisite: Algebra II
Discrete Mathematics involves applications using
discrete variables rather than continuous variables.
Modeling and understanding finite systems is central to the
development of the economy, the natural and physical
sciences, and mathematics itself.
This course introduces the topics of social choice
as a mathematical application, matrices and their uses,
graph theory and its applications, and counting and finite
probability, as well as the processes of optimization,
existence, and algorithm construction.
Graphing calculators and other emerging
technologies are incorporated into instruction to enhance
teaching and learning. Mathematical communication,
reasoning, problem solving, critical thinking, and multiple
representations are emphasized throughout the course.
Advanced Functions and Modeling 572000
Grade(s): 10-12 Credit: 1
Prerequisite: Algebra II
Advanced Functions and Modeling provides
opportunities for students to deepen understanding and
knowledge of functions-based mathematics through
investigations of mathematical models and
interpretation/analysis of data from real-life situations.
Problem solving and critical thinking provide the structure in
which functions (polynomial, exponential, logarithmic,
transcendental, and rational) are studied. Experimental
design provides the foundation for data gathering, curve
sketching, and curve fitting in order to provide a graphical
interpretation of real world situations.
Graphing calculators and other emerging
technologies are incorporated into instruction to enhance
teaching and learning. Mathematical communication,
reasoning, problem solving, critical thinking, and multiple
representations are emphasized throughout the course.
Precalculus 585000
Virtual Loudoun 585V01
Grade(s): 10-12 Credit: 1
Prerequisite: Algebra II
Advanced Algebra/Precalculus emphasizes
polynomial, exponential, logarithmic, and rational functions,
theory of equations, sequences and series, conic sections,
limits, mathematical induction, and the Binomial Theorem.
Trigonometry topics include triangular and circular
definitions of the trigonometric functions, establishing