SEVENTH GRADE MATHEMATICS
This is a seventh grade (required) course. The
course emphasizes pre-algebra skills and concepts, such as
variables, equation solving, and problem solving. Operations on
whole numbers, rational numbers, and decimals is stressed.
Geometric topics are also covered. It is believed that one learns
mathematics by doing mathematics and that a proper balance between
theory and practice is essential for a genuine understanding.
Course Outline: -
Operations with whole numbers
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Using variables
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The decimal system
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Geometric figures
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Number theory
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Operations with fractions
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Solving equations
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Percent
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Areas and volumes
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Integers and graphs
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Statistics, graphs
UCSMP MATHEMATICS (ALGEBRA FOR
GRADES 8-12)
This course has several goals. It will
introduce you to the language of algebra. It will help you prepare
for geometry and other mathematics. It will help you learn about
the many uses of algebra in the real world and deal with mathematics
around you. You will be expected to read each lesson, and it
is vital for you to understand what you have read. Mathematics is
not a spectator sport! Homework is required most every day.
Topics covered:
1) uses of variables
2) multiplication, addition, subtraction, and division in algebra
3)
linear sentences
4)
slopes and lines
5)
exponents and powers
6)
quadratic equations and square roots
7)
polynomials
8)
linear systems
9)
factoring
10) functions
Course Outline: -
Fundamental operations with rational numbers
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Solving of equations, inequalities and work problems
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Functions, relations and graphs
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Systems of open sentences
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Polynomials and their factors
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Polynomials and rational expressions in open sentences
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Irrational numbers and radical expressions.
APPLIED MATHEMATICS
Students will use prior knowledge learned in
Algebra I and learn to integrate this knowledge with basic geometric
concepts to solve problems and complete various hands-on type
activities. Students will be expected to provide their own
scientific calculator, drawing tool, compass, and graph paper.
This course should not be taken to complete
requirements for a four-year college.
Prerequisite: Algebra I
GEOMETRY - UCSMP - Typically for
GRADE 9
This course is the third course in the
sequence. The content of this course integrates algebra, some
discrete mathematics together with geometry; however, topics related
to geometry are the primary focus. The primary content is Euclidean
Geometry with emphasis on transformations and coordinate geometry to
build a foundation for studying functions. Students in this course
encounter justifying reasons for their answers and frequently write
paragraphs to explain their reasoning.
Students will be required to purchase the
following equipment and materials: three-ring notebook with
dividers, graph paper, drawing tool and compass (purchased from
school), scientific calculator.
Topics:
Language - Logic of
Geometry Perimeter and area
Angles and
Lines 3 Dimensional figures
Reflections Surface area
Proofs using
congruence Volume
Polygons and
symmetry Similar triangles
Triangle
congruence Trigonometry
Prerequisite: Algebra I; grade of "C"
or recommendation of instructor.
ADVANCED ALGEBRA (UCSMP) - GRADE
10
This course follows UCSMP Geometry taken in
grade 9. This course integrates geometry, discrete mathematics, and
statistics together with algebra. Significant amounts of geometry
and statistics are employed; therefore, success in prior courses
(algebra and geometry) is essential. Up to date technology is
employed especially in teaching functions. Graphing calculators
will be used extensively and are, therefore, required equipment for
the course. Students will also find more questions requiring
reading and writing skills.
Students are required to read the lesson each
day and complete a homework assignment. Students who neglect to
follow the procedure cannot expect to be successful. Students are
expected to have the necessary background from material learned in
previous courses.
Topics:
Functions Powers
Variation and
graphs Inverses and radicals
Linear
functions
Exponential and logarithmic functions
Matrices Trigonometry
Systems of
equations Polynomial
Quadratic
functions Quadratic relations
Series
and combination
Materials required: Graphing calculator
(TI-83), graph paper, drawing tool, compass, three-ring notebook,
dividers.
Prerequisite: UCSMP Geometry, minimum
grade of "C" in Algebra I and Geometry or recommendation of
instructor and/or administration.
FUNCTIONS, STATISTICS, AND
TRIGONOMETRY (FST) - GRADE 11
The course follows Advanced Algebra and
integrates functions, statistics, and trigonometry. This course
applies the geometry and algebra students have previously learned.
In addition, students will study sequences, counting problems, and
topics covered in many pre-calculus courses. In this course
students have an opportunity to pull together and sharpen many math
skills to prepare them for a world that depends on data collection
for decision making and to prepare them better for pre-calculus
courses.
Materials required: three-ring notebook
for assignments, ruler, protractor, compass and graphing calculator
(TI-83). Note: Students have already purchased these items for
Geometry and Advanced Algebra. If they have taken care of their
equipment, they should have these items.
Prerequisite: Advanced Algebra with a
grade of "C" or permission of instructor and/or administration.
BUSINESS MATH - GRADES 11 & 12
This math or business course can be used as a
mathematics requirement. The course is designed to give students a
basic knowledge of practical problems found in everyday life and
math problems found in business.
Course Outline: -
Money Management
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Buying Problems
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Wages and Commissions
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Borrowing Money, Saving, and Investing
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Home Expenses and Transportation
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Taxes
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Small Business Financial Statements
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Retail Buying and Selling
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Wholesales and Manufacturer Problems
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Special Business and Farm Problems
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Metric System.
PRE-CALCULUS AND DISCRETE
MATHEMATICS (PDM) - GRADE 12
This course is designed to provide students
with the background needed to begin college calculus in their
freshman year in college. Computers and calculators are used as
tools to analyze Math, Science, Social Science, Engineering,
Environmental and real-life types of problems. The class requires
reading and problem solving. Projects are used to provide
opportunities for independent study.
Course Outline:
- Logic
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Analyzing Functions
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Functions, Equations, and Inequalities
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Integers and Polynomials
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Rational Numbers and Rational Functions
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Trigonometric Identities and Equations
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Recursion and Mathematical Induction
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Polar Coordinates and Complex Numbers
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The Derivative in Calculus
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Combinatorics
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Graphs and Circuits
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Vectors
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The Integral in Calculus
Prerequisite: Functions, Statistics and
Trigonometry with a "C" average
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