 Pre-Algebra
1A
Overview: Students in this course learn fundamental
mathematics concepts using an interactive,
problem-based approach. Each module includes an
Introduction, examples, practice, assignments,
reviews, quizzes, and a module test. They develop an
understanding of basic computation; numbers and how
they relate to each other; fractions, decimals, and
percentages by applying them in practical situations;
learn about expressions and equations, inequalities,
to handle data through graphs; become familiar with
scientific notation; and learn to use ratios and
proportions to solve problems.
Learn to…
-
Develop and apply a variety of problem-solving
strategies to real-world situations.
-
Use estimation to arrive at reasonable answers.
-
Use probability to make reasonable predictions.
-
Communicate mathematical ideas, analyze
mathematical situations, explain procedures for
correct computation, and describe results using
graphical, numerical, or algebraic representations.
-
Become more familiar with properties of numbers
and make connections between these core concepts and
the real world.
-
Use the following skills to solve real-life
problems: addition, subtraction, multiplication, and
division of whole numbers, fractions, and decimals.
-
Use proportions, percentages, and simple ratios.
-
Simplify and solve problems involving exponents
and scientific notation.
-
Read and analyze charts, graphs, and data tables.
Activities: 5 Activities, 14 quizzes, 5 evaluations
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Pre-Algebra 1B
Overview:
In this course, students learn about general
mathematics concepts as they plan a two-country
concert tour. This metaphor helps students engage with
the comprehensive content, which includes statistics,
graphs, basic geometric concepts, set theory,
networking, simple equations, and the coordinate
plane. Students are given several opportunities to
check their skills as they complete interactive
activities throughout each lesson.
Learn to…
-
Develop and apply problem-solving strategies,
including finding patterns, estimating and testing,
and drawing diagrams, to real-world situations.
-
Use estimation to arrive at reasonable answers.
-
Discuss mathematical ideas, analyze mathematical
situations, explain procedures for correct
computation, and describe results using graphical,
numerical, or algebraic representations.
-
Understand the concepts of variables and
equations and explore relationships between quantities
algebraically.
-
Identify, describe, compare, and classify various
geometric figures according to their perimeters,
areas, surface areas, circumferences, and volumes.
-
Understand systems of measurement and select
appropriate units to make measurements in a given
situation.
-
Become more familiar with many properties of
numbers, and make connections between these core
concepts and the real world.
-
Use the following skills to solve real-life
problems:
-
Addition, subtraction, multiplication, and division
of whole numbers, fractions, and decimals, both
positive and negative.
-
Charts, graphs, and data tables.
-
Set
notation.
-
Exponents and scientific notation.
-
The
coordinate plane
Activities:
9
explore assignments, 9 quizzes, 3 evaluations, 1 final
project
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description and
course outline in PDF Format
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Business
and Consumer Math
Overview:
Students are introduced to such everyday life skills
as balancing a checkbook, calculating net pay,
budgeting expenses, making cost comparisons, buying
and renting a home, and finding the cost of operating
a motor vehicle. Basic business matters, including
borrowing money, investing, and calculating business
profits and losses are also included. The goal of this
course is to guide students in building a strong
foundation in logical thinking and problem solving
that will enable them to make good decisions
concerning matters of money and finance in their daily
lives. Several projects and activities will allow them
to use the skills and knowledge they gain from this
course and apply them to real-life situations. Basic
computer skills are recommended.
Learn about…
-
Earning an income
-
Banking and credit
-
Budgeting and major expenses
-
Personal considerations
-
Business considerations
-
Managing money
Activities: 14 quizzes, 6
notebook assignments, 6 unit projects
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course
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course outline in PDF Format
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Algebra
1A
Overview: In this course,
students learn about algebraic concepts including
integers, linear equations, linear inequalities, and
factoring. As students work through each
interactive lesson, they will have the opportunity to
complete several self-check activities, participate in
newsgroup discussions, and complete journal entries.
Learn to…
- Develop
fundamental algebraic skills such as polynomial
factoring, simplifying and evaluating expressions,
and solving equations
- Apply
algebraic problem-solving strategies to real-world
situations
- Use
graphing technology to interpret and solve equations
and inequalities
-
Communicate mathematically by expressing ideas,
analyzing situations, explaining procedures for
correct computation, and describing results
numerically and graphically
-
Use the Internet to gain useful information
-
Develop a sense of class membership, using
newsgroups and e-mail to communicate with teacher
and classmates
Activities:
13
quizzes, 5 unit tests, 1 final exam, 3 journal
assignments, 6 discussion group assignments.
Materials:
Graphing Calculator required
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Algebra
1B
Overview:
Algebra 1B is the second semester of a traditional
middle/high school Algebra I course. In this course,
offered via the Web, students continue their
progression through algebraic concepts, expanding
their knowledge of functions and relations, solving
systems of equations and inequalities, simplifying
rational and radical expressions, and solving
quadratic equations. A unit on probability and
statistics is also included helping students to
analyze data and make predictions about real-world
situations utilizing a variety of visual
representations.
Each interactive lesson has self-check activities
built into each topic, quizzes are provided at the end
of each lesson, and tests are found at the end of each
unit. The course framework is designed so that
students need not necessarily start at the beginning,
rather they may easily be placed within the course at
their knowledge level. The Pre and Post Tests, within
the course, aid in the placement of each student by
assessing their individual skill mastery.
Students are exposed to the use of a graphing
calculator to solve algebra problems. In addition,
"Real World Connection" and "Geometry Infusion"
problems are integrated throughout the course to help
students apply their knowledge of algebra to real life
situations and across curriculums. Reading and writing
mathematics is incorporated throughout the course as
students participate in discussion groups, complete
journal activities, and explore mathematical websites.
The prerequisite for this course is the first half of
an Algebra I course. Successful completion provides
students with the foundation to continue their study
of mathematics to Geometry.
Learn to…
- Master
addition, subtraction, multiplication, and division
of rational equations and equations containing radicals
- Solve
problems involving proportions and formulas, and
direct and inverse variations
- Solve
right triangles using the Pythagorean theorem
- Solve
quadratic equations
- Apply
several methods of data analysis including mean,
median, and mode
Activities: 6 discussion
group activities, 6 journal assignments, 18
quizzes, 6 evaluations, 1 final exam/post test
Materials:
Graphing Calculator required
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 Algebra 2A
Course Description:
Algebra IIA is the first semester of a traditional
high school Algebra II course. Successful completion
of Algebra I is a mandatory prerequisite. This course,
offered via the Web, provides a thorough treatment of
algebraic concepts. The course begins with a study of
the fundamentals of linear equalities and inequalities
and continues with the study of functions, including
piecewise, absolute value, and radical functions. A
strong emphasis is placed on quadratic functions,
including fitting a curve to data. The course ends
with a unit of study on polynomials. An emphasis on
matrices to solve systems of equations, systems of
equations used with linear programming problems, and
complex numbers are addressed as solutions to
quadratic equations. The mechanics of algebra with
real-life applications is evident throughout the
course. A transformational approach to graphing all
functions is used with families of related graphs.
Algebraic and graphical solutions are used when
appropriate. Graphing calculators are an integral part
of this course.
Each interactive lesson has self-check activities
built into each topic, quizzes are provided at the end
of each lesson, and tests are found at the end of each
unit. The course framework is designed so that
students need not necessarily start at the beginning;
rather, they easily may be placed within the course at
their knowledge level. Using the Pre- and Post Tests
aids in assessing skill mastery.
This course should be followed by the second-semester
course, Algebra IIB, and will provide a strong
foundation for the continuation of the study of
mathematics in trigonometry and calculus.
Materials: Graphing Calculator required
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Algebra
2B
Course Description: Algebra IIB is
the second semester of a traditional high school Algebra
II course. Algebra IIB continues the treatment of
algebraic concepts through the study of rational functions,
exponential functions, logarithmic functions, sequences
and series, conic sections, and data analysis. Other
topics are included within this context. Variations
of all types are studied within the context of rational
functions; exponential growth and decay are part of
the exponential function unit; and using a calculator
for curve fitting is part of the data analysis unit.
Emphasis is placed on the mechanics of algebra with
real-life applications. A transformational approach
to graphing all functions and relations is used with
families of related graphs. Function notation and
a function approach are used throughout. Graphing
calculators are an integral part of this course.
Each interactive
lesson has self-check activities built into each topic;
quizzes are provided at the end of each lesson, and
tests are found at the end of each unit. The course
framework is designed so that students need not necessarily
start at the beginning; rather, they easily may be
placed within the course at their knowledge level.
Using the Pre- and Post Tests aids in assessing skill
mastery.
This course will
provide the skills necessary for the continuation
of the study of mathematics and science in courses
such as calculus, trigonometry, chemistry, and physics.
Materials: T1 83+ (preferred)
Graphing Calculator required
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Geometry
1A
Overview: Students
develop reasoning skills using geometric terms and
processes, concepts of logic, and applied problem
solving. Topics include parallel lines and planes,
congruent triangles, inequalities, and quadrilaterals.
Geometric concepts are analyzed using formal,
paragraph, and indirect proofs.
Learn about…
-
Points, lines, and planes
-
Measurements
-
Angles
-
Inductive and deductive reasoning
-
Problem solving
-
Two-column proofs
-
Angles and parallel lines
-
Slope and distance
-
Angles and triangles
-
Proving triangles congruent
-
Solving triangle problems
-
Special segments in triangles
-
Right triangles
-
Inequalities
-
Parallelograms and quadrilaterals
-
Problem solving and rectangles
Activities: 6 unit assignments,
6 unit evaluations
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course
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course outline in PDF Format.
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Geometry
1B
Overview:
In
this course, students continue to develop geometry
skills while studying similarity, areas and volumes,
right triangles, circles, coordinate geometry, and
transformations. The concepts of problem solving,
communication, reasoning, and connections are
addressed in this course. Students must also complete
notebook assignments that relate their learning to
real-life experiences. Basic computer skills are
recommended.
Learn about…
-
Ratio and proportion
-
Similar polygons and triangles
-
Parts of similar triangles
-
Trigonometry and right triangles
-
Parts of circles
-
Chords, tangents, and secants
-
Polygons
-
Areas of polygons and circles
-
Surface area and volume
-
Equations of lines
-
Coordinate proofs and
vectors
-
Coordinates in space
-
Loci
-
Transformations
Activities: 6 unit assignments,
6 unit evaluations
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course
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Precalculus
1A: Analytic Geometry & Algebra
Prerequisites:
Two years of algebra and one year of geometry
Overview: This Web-enabled
course prepares students for studying calculus and
other college mathematics courses. It reviews algebraic
properties, introduces functions and graphs, covers
algebraic and inverse functions, exponential and logarithmic
functions, conic sections, matrices, determinants,
complex numbers, and discrete algebra. A Graphing
Calculator is required.
Learn to…
- Graph
simple functions and use other properties to analyze
additional types of functions
- Combine
functions algebraically and find composite and inverse
functions
- Solve
and sketch graphs of polynomial functions, equations,
and inequality problems
- Use
summation notation, sequences, and the binomial
theorem to evaluate expressions
Activities: 6 unit evaluations,
6 unit assignments, 2 examinations
Materials:
Graphing Calculator required
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course
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course outline in PDF Format
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Precalculus
1B: Trigonometry
Prerequisites:
Two years of algebra and one year of geometry
Overview: This Web-enabled
course prepares students for studying calculus and
other college mathematics courses. It reviews basic
trigonometry concepts, and then covers approximate
values, trigonometric identities, graphs, equations,
logarithms, vectors, complex numbers, and polar coordinates.
A Graphing Calculator is required.
Learn to…
- Evaluate
trigonometric functions and angles
- Find
trigonometric functions and apply them to solve
right triangles
- Solve
applied problems using line of sight, angle of elevation,
angle of depression, bearing, and other practical
settings
- Use
trigonometric identities to simplify or prove trigonometric
expressions
Activities: 6 unit evaluations,
6 unit assignments, 2 examinations
Materials:
Graphing Calculator required
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outline in PDF Format
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Essential Math 1A
Essential Math1A is a series of three modules designed to
help students master the Mathematics Content
Standards, including:
·
Number Sense
·
Statistics, Data Analysis, and Probability
·
Algebra and Functions
Each interactive lesson has self-check activities built into
each topic; quizzes are provided at the end of each
lesson, and a comprehensive test is included at the end
of each module. Students need not start at the
beginning; they easily may be placed within the course
at their knowledge level. Reading and writing
mathematics is incorporated throughout the course as
students participate in discussions, complete
mathematical reasoning assignments, and explore
mathematical websites. In addition, "Real World
Connection" and "Geometry Infusion" problems are
integrated throughout the course to help students apply
their knowledge of algebra to real life situations and
across curricula.
Activities:
9 online discussion group activities, 17 quizzes,
3 mathematical reasoning assignments, 3 final module
exams.
Download a detailed
course
description and
course outline in PDF Format.
Essential Math 1B
Essential Math 1B contains two modules designed to help
students master the Mathematics Content Standards,
including:
·
Geometry and Measurement
·
Algebra 1
Each interactive lesson has self-check activities built into
each topic; quizzes are provided at the end of each
lesson, and a comprehensive test is included at the end
of each module. Students need not start at the
beginning; they easily may be placed within the course
at their knowledge level. Reading and writing
mathematics is incorporated throughout the course as
students participate in discussions, complete
mathematical reasoning assignments, and explore
mathematical websites. In addition, "Real World Connection" and "Geometry
Infusion" problems are integrated throughout the course
to help students apply their knowledge of algebra to
real life situations and across curricula.
Activities:
6 online discussion group activities, 17 quizzes,
2 mathematical reasoning assignments, 2 final module
exams.
Download a detailed
course
description and
course outline in PDF Format.
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