Algebra 1 Part 1 |
Algebra 1/ Part I extends students' understanding
of the real number system and its properties through the study of
variables, expressions, equations, inequalities, and analysis of
data derived from real-world phenomena. Topics include linear equations
and inequalities, properties of triangles, linear relations and functions,
measures of central tendency (mean, median, mode) and data analysis.
Algebra 1/Part I includes some of the Virginia Standards of Learning
for Algebra 1.
Students must pass Algebra 1 to receive mathematics graduation credit
for Algebra 1/ Part I.
|
| Algebra 1 |
This course extends students’
knowledge and understanding of the real number system and its properties
through the study of variables, expressions, equations, inequalities,
and analysis of data derived from real-world phenomena. Emphasis
is placed on making connections in algebra to geometry and statistics.
Calculator and computer technologies will be used as tools wherever
appropriate. Use of a graphing calculator is considered essential
to provide a graphical and numerical approach to topics in addition
to a symbolic approach. Topics include linear equations and inequalities,
systems of linear equations, relations, functions and polynomials.
(This course has an end of course Standards of Learning test.)
|
| Algebra 2
|
Algebra 2 provides a thorough
treatment of algebraic concepts through the study of functions,
polynomials, rational expressions, complex numbers, exponential
and logarithmic equations, matrices, arithmetic and geometric sequences
and series, and data analysis. Emphasis is placed on the mechanics
of algebra with real world applications and modeling. A transformational
approach to graphing is used with families of related graphs. Numerical,
graphical, and algebraic solutions are considered for all problems
as applicable. Graphing utilities, especially graphing calculators,
are integral to the course.
(This course has an end of course Standards of Learning test.)
|
| Honors Algebra
2 |
The depth and level of
understanding expected in Algebra 2 Honors is beyond the scope of
Algebra 2. Students are expected not only to master algebraic mechanics
but also to understand the underlying theory and to apply the concepts
to real-world situations in a meaningful way. A thorough treatment
of advanced algebraic concepts is provided through the study of
functions, polynomials, rational expressions, complex numbers, matrices,
exponential and logarithmic equations, infinite geometric sequences
and series, permutations and combinations, and selected topics in
discrete mathematics. Emphasis is on modeling, logic, and interpretation
of results. A transformational approach to graphing is used with
families of related graphs. Numerical, graphical, and algebraic
solutions are considered for all problems, as applicable. Graphing
utilities, especially graphing calculators, are integral to the
course.
(This course has an end of course Standards of Learning test.)
|
| Geometry Part 1 |
Students develop an understanding of
the reasoning process and the concept of proof. Properties and relationships
of lines, angles, and triangles are developed inductively and then
verified deductively. Topics included conditional statements, syllogisms,
points in space, parallel lines, transversals, planes, congruence,
the Pythagorean Theorem, and similarity. Vectors, algebra, and technologies
are used as tools to solve geometry problems. This course includes
an integrated review of algebraic topics needed in geometry.
[Students must pass Geometry / Part II to received mathematics graduation
credit for Geometry / Part I]
|
| Geometry
|
Students investigate properties
of triangles, quadrilaterals, polygons, circles, and solids using
inductive and deductive reasoning. Conjectures about properties
and relationships are developed inductively and then verified deductively.
Vectors, transformations, algebra, and technologies are used as
tools to solve geometry problems.
(This course has an end of course Standards of Learning test
|
| Honors Geometry
|
Students investigate properties
of triangles, quadrilaterals, polygons, circles, and solids using
inductive and deductive reasoning. Conjectures about properties
and relationships are developed inductively and then verified deductively.
Vectors, transformations, algebra, and technologies are used as
tools to solve geometry problems. Study includes an introduction
to proof, concurrency and non-Euclidian surfaces.
(This course has an end-of-course Standards of Learning test.)
|
|
Trigonometry |
Trigonometry topics include
circular functions, right triangle ratios, solving trigonometric
equations, inverses, identities, the Laws of Sines and Cosines,
graphing trigonometric functions, and applying trigonometric techniques
to solving real-world problems. A transformational approach to graphing
is used with families of related graphs. Numerical, graphical, and
algebraic solutions are considered for all problems as applicable.
Graphing utilities, especially graphing calculators, are integral
to the course. |
|
Math Analysis |
Mathematical Analysis provides
a thorough treatment of functions through the study of polynomials,
transformations, rational functions, logarithmic, exponential, and
inverse functions. Topics also include an intuitive approach to
limits, continuity, and maximum and minimum points and values, sequences
and series. A transformational approach to graphing is used with
families of related graphs. Numerical, graphical, and algebraic
solutions are considered for all problems as applicable. Graphing
utilities, especially graphing calculators, are integral to the
course. |
| Discrete Math
|
|
| Probability & Statistics |
Course content includes
theory of probability, description of statistical measurements,
probability distributions, and statistical inference. Optional topics
include statistical inference involving two populations, linear
regression, and correlation. |
| Computer
Science |
Students develop detailed
knowledge of the fundamental structure of a computer system, with
emphasis on problem solving and structured programming. Skills in
defining, writing, and running programs on a computer are developed
through an individual approach that allows the student to work with
both mathematical and non-mathematical problems. Java will be the
major programming language. |
Discrete Mathematics Semester Course |
Course content includes management science,
the mathematics of apportionment, matrix operations and applications,
recursion, and discrete application in the natural and social world. |
| Precalculus Honors |
Precalculus Honors includes
all of the topics of Trigonometry (3150) and an in-depth treatment
of functions through the study of polynomials, transformations, rational
functions, exponential and logarithmic functions, inverses, polar
equations, parametric equations, two-dimensional vectors, and selected
topics in discrete mathematics. The course also includes the study
of limits, continuity, maximum and minimum points and values, definition
and properties of the derivative, rules of differentiation, equations
of tangent lines to polynomial functions, infinite limits, and partial
fractions. Numerical, graphical, and algebraic solutions are considered
for all problems as applicable. Graphing utilities, especially graphing
calculators, are integral to the course. |
| Advanced Placement Calculus
AB
|
The purpose of this course
is to prepare students to take the Advanced Placement AB examination
given each spring, for which placement and/or credit may be awarded
at the college level, if a qualifying score is obtained. Content
of this college-level course corresponds to the syllabus of the College
Board Advanced Placement Program for AB Calculus. Content includes
concepts and applications of differential and integral calculus.
All students are required to take the Advanced Placement Calculus
AB exam.
|
Advanced Placement
Calculus BC
|
The purpose of this course is to prepare
students to take the Calculus BC Advanced Placement examination given
each spring, for which placement and/or credit may be awarded at
the college level, if a qualifying score is obtained. Content of
this college-level course corresponds to the syllabus of the College
Board Calculus BC Advanced Placement Program. Content includes concepts
and applications of differential and integral calculus, sequences
and series, and elementary differential equations.
(All students are required to take the Advanced Placement Calculus
BC exam.)
|
| Advanced Placement Statistics |
Advanced Placement Statistics
includes graphical and numerical techniques to study patterns and
explore data, strategies for developing a plan to conduct a study
based on data analysis, probability as a tool for predicting distribution
of data, and techniques of statistical inference. Students who successfully
complete this course and an examination may receive credit and/or
advanced placement for a one-semester college statistics course.
(All students are required to take the Advanced Placement Statistics
exam.)
|
| Advanced Placemen Computer
Science |
The purpose of this course
is to prepare students to take the Advanced Placement examination,
for which college credit and/or placement may be given if a qualifying
score is achieved. The major emphases in this course are programming
methodology, algorithms, and data structures. Applications of computing
are used to develop students’ awareness of particular algorithms
and data structures to provide topics for programming assignments
in which students can apply their knowledge. Java is the vehicle
for implementing solutions to problems.
(All students are required to take the Advanced Placement Computer
Science exam.)
|
| Multivariable Calculus |
A third semester college-level
course, Multivariable calculus is the calculus of three dimensions
and includes the study of partial differentiation, multiple integrals,
and line integrals. This course will receive a weighted grade and
may be taken for college credit. Class presentations are offered
through television. |
| Matrix Algebra |
This college-level course
includes the study of systems of linear equations, vector spaces,
linear dependence, linear transformations and matrix representation,
orthogonal reduction, determinants, eigenvectors and eigenvalues,
and a variety of applications. This course will receive a weighted
grade and may be taken for college credit. Class presentations are
offered through television. |
|