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```									    HYDE LEADERSHIP PUBLIC CHARTER SCHOOL
APPLIED CALCULUS I – Course Description

Credit: One
One Year
Prerequisite: Precalculus

COURSE DESCRIPTION

This course will focus on techniques and applications of limits, differentials, integration, and
derivatives. Business applications, analytical geometry, and the use of graphing calculators will
also be incorporated into the course.

COURSE TOPICS

1. Precalculus Review
2. Functions, Graphs, and Limits
3. Differentiation
4. Applications of the Derivative
5. Exponential and Logarithmic Functions
6. Integration and its Applications
7. Techniques of Integration
8. Functions of Several Variables
9. Trigonometric Functions
10. Probabilities and Calculus
11. Series and Taylor Polynomials

TEXTBOOK

Textbook being considered: Calculus: An Applied Approach 8th Ed., Larson, (Houghton
Mifflin), 200

Classwork/Homework                                  20%
Quizzes                                             25%
Tests and Performance Based Assessments             30%
Special Projects                                    15%
Participation                                        5%

*Subject to be modified based on the Division.
GEOMETRY – Course Description

Credit: One
One Year
Prerequisite: Algebra I

COURSE DESCRIPTION

Geometry is designed to provide topics which ensure thorough treatment of standard geometry
skills and concepts. 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

COURSE TOPICS

1. Basics of Geometry
2. Segments and Angles
3. Parallel and Perpendicular Lines
4. Triangle Relationships
5. Congruent Triangles
7. Similarity
8. Polynomials and Area
9. Surface Area and Volume
10. Right Triangles and Trigonometry
11. Circles

TEXTBOOK

Geometry Concepts & Skills by Larson, Boswell, & Stiff (McDougal Littell), 2005.

Classwork/Homework                                    20%
Quizzes                                               25%
Tests and Performance Based Assessments               30%
Special Projects                                      15%
Participation                                          5%

*Subject to be modified based on the Division.
PRE-ALGEBRA – Course Description

Credit: No Credit
One Year
Prerequisite: Middle School Math

COURSE DESCRIPTION

This course, which starts with a review of the fundamental operations of arithmetic, leads into
the development of other skills in Algebra. Topics included are graphs, statistics, measurement,
percentage, equation solving, geometry and estimation. Calculators and computers will be used.

COURSE TOPICS

1. Variables, Expressions, and Integers
2. Solving Equations
3. Multi-Step Equations and Inequalities
4. Factors, Fractions, and Exponents
5. Rational Numbers and Equations
6. Ratio, Proportion, and Probability
7. Percents
8. Linear Functions
9. Real Numbers and Right Triangles
10. Measurement, Area, and Volume
11. Data Analysis and Probability
12. Polynomials and Nonlinear Functions
13. Angle Relationships and Transformations

TEXTBOOK

Pre Algebra Concepts & Skills by Larson, Boswell, Kanold, & Stiff (McDougal Littell)

Classwork/Homework                                 20%
Quizzes                                            25%
Tests and Performance Based Assessments            30%
Special Projects                                   15%
Participation                                       5%

*Subject to be modified based on the Division.
PRECALCULUS – Course Description

Credit: One
One Year
Prerequisite: Algebra II/Trigonometry

COURSE DESCRIPTION

Precalculus includes all of the topics of Trigonometry 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.

COURSE TOPICS

1.   Functions and Their Graphs
2.   Polynomial and Rational Functions
3.   Exponential and logarithmic Functions
4.   Trigonometric Functions
5.   Analytic Trigonometry
6.   Linear Systems and Matrices
7.   Sequences, Series, and Probability
8.   Topics in Analytic Geometry and Trigonometry

TEXTBOOK

Precalculus with Limits: A Graphing Approach by Larson, Hosteltler, & Edwards (Houghton
Mifflin); 5th ed, 2008

Classwork/Homework                                   20%
Quizzes                                              25%
Tests and Performance Based Assessments              30%
Special Projects                                     15%
Participation                                         5%

*Subject to be modified based on the Division.
ALGEBRA I – Course Description

Credit: One
One Year
Prerequisite: Middle School Math or Pre Algebra

COURSE DESCRIPTION

Algebra I is designed to help students understand the basic structure of algebra and acquire
proficiency in applying algebraic concepts and skills. When taken in Grade 7 or Grade 8,
Algebra I may count as one credit toward fulfilling the mathematics requirement for graduation.
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. Topics include functions and graphs of lines; equations, inequalities, and word
problems in one and two variables; systems of equations and inequalities; statistics; polynomials;

COURSE TOPICS

1. Connections to Algebra
2. Properties of Real Numbers
3. Solving Linear Equations
4. Graphing Equations
5. Writing Linear Equations
6. Solving and Graphing Linear Inequalities
7. Systems of Linear Equations and Inequalities
8. Exponents and Exponential Functions
10. Polynomials and Factoring
11. Rational Expressions and Equations
12. Radicals and More Connections to Geometry

TEXTBOOK

Algebra I Concepts & Skills by Larson, Boswell, Kanold, & Stiff (McDougal Littell), 2004.

Classwork/Homework                                  20%
Quizzes                                             25%
Tests and Performance Based Assessments             30%
Special Projects                                    15%
Participation                                        5%
*Subject to be modified based on the Division.
ALGEBRA II – Course Description

Credit: One
One Year
Prerequisite: Geometry

COURSE DESCRIPTION
Students who take this course, followed by semester courses in Trigonometry,
Probability/Statistics, or a full year of Pre Calculus, will be prepared for typical college
mathematics courses below the level of calculus. It is an alternative to Algebra II/Trigonometry
for those college-bound students who do not intend to choose careers specifically emphasizing
mathematics. Algebra II 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. Students may not receive
credit for both Algebra II and Algebra II/Trigonometry.

COURSE TOPICS
1. Equations and Inequalities
2. Linear Equations and Functions
3. Systems of Linear Equations and Inequalities
4. Matrices and Determinants
6. Polynomials and Polynomial Functions
7. Powers, Roots, and Radical Functions
8. Exponential and Logarithmic Functions
9. Rational Equations and Functions
10. Quadratic Relations and Conic Sections
11. Sequences and Series
12. Probability and Statistics
13. Trigonometry Ratios and Functions

TEXTBOOK
Algebra II by Larson, Boswell, Kanold, & Stiff (McDougal Littell), 2004.

Classwork/Homework                                 20%
Quizzes                                            25%
Tests and Performance Based Assessments            30%
Special Projects                                   15%
Participation                                       5%
*Subject to be modified based on the Division.
6TH GRADE MATH – Course Description

Credit: No Credit
One Year
Prerequisite: Placement Test and/or Transcripts

COURSE DESCRIPTION

Level One Math is for the majority of the sixth grade students. The course focuses on greater use
of manipulative materials and technology, problem solving, communication, reasoning,
mathematical connections, and relating mathematics to students' lives. Topics include whole
numbers, decimals, fractions, integers, number theory, geometry, graphs, measurement, ratio,
percent, proportion, algebraic concepts, probability, and statistics.

COURSE TOPICS

1. Number Sense and Algebraic Thinking
2. Measurement and Statistics
4. Decimal Multiplication and Division
5. Number Patterns and Fractions
6. Addition and Subtraction of Fractions
7. Multiplication and Division of Fractions
8. Ratio, Proportion, and Percent
9. Geometric Figures
10. Geometry and Measurement
11. Integers
12. Equations and Functions
13. Probability and Statistics

TEXTBOOK

Middle School Math 1 by Larson, Boswell, Kanold, and Stiff (McDougal Littell), 2005.

Classwork/Homework                                  20%
Quizzes                                             25%
Tests and Performance Based Assessments             30%
Special Projects                                    15%
Participation                                        5%

*Subject to be modified based on the Division.
7TH GRADE MATH – Course Description

Credit: No Credit
One Year
Prerequisite: Placement Test and/or Transcripts

COURSE DESCRIPTION

Level Two Math is for the majority of seventh-grade students. The course focuses on a more in-
depth development of problem solving, communication, reasoning, mathematical connections,
and relating mathematics to students' lives through the use of manipulative materials and
technology. Topics include whole numbers, decimals, fractions, integers, number theory,
geometry, graphs, measurement, ratio, percent, proportion, algebraic concepts, probability, and
statistics.

COURSE TOPICS

1. Number Sense, Patterns, and Algebraic Thinking
2. Decimal Operations
3. Data and Statistics
4. Number Patterns and Fractions
5. Fraction Operations
6. Integers
7. Equations, Inequalities, and Functions
8. Ratios and Proportions
9. Percents
10. Geometric Figures
11. Measurement and Area
12. Surface Area and Volume
13. Probability

TEXTBOOK

Middle School Math 2 by Larson, Boswell, Kanold, and Stiff (McDougal Littell)

Classwork/Homework                                 20%
Quizzes                                            25%
Tests and Performance Based Assessments            30%
Special Projects                                   15%
Participation                                       5%

*Subject to be modified based on the Division.
LEVEL THREE MATH – Course Description

Credit: No Credit
One Year
Prerequisite: Placement Test or Completion of Level Two Math

COURSE DESCRIPTION

Level Three Math is designed for the majority of eighth-grade students to help them make the
transition from middle school mathematics to algebra. The course focuses on refining pre-
algebra concepts and developing skills needed for algebra. Topics include number properties,
algebraic concepts, geometry, measurement, proportion, percent, ratio, graphs, probability, and
statistics.

COURSE TOPICS

1. Number Sense, Patterns, and Algebraic Thinking
2. Integer Operations
3. Solving Equations and Inequalities
4. Factors, Fractions, and Exponents
5. Rational Number Operations
6. Multi-Step Equations and Inequalities
7. Ratio, Proportion, and Percent
8. Polygons and Transformations
9. Real Numbers and Right Triangles
10. Measurement, Area, and Volume
11. Liner Equations and Graphs
12. Data Analysis and Probability
13. Polynomials and Functions

TEXTBOOK

Middle School Math 3 by Larson, Boswell, Kanold, and Stiff (McDougal Littell)

Classwork/Homework                                 20%
Quizzes                                            25%
Tests and Performance Based Assessments            30%
Special Projects                                   15%
Participation                                       5%

*Subject to be modified based on the Division.
TRIGONOMETRY – Course Description

Credit: One-half Credit
One Semester
Prerequisite: Algebra II

COURSE DESCRIPTION

Trigonometry complements Algebra II by providing preparation for typical college mathematics
courses below the level of calculus. It is not intended for students who have passed Algebra
II/Trigonometry. The course offers a thorough treatment of trigonometric and circular functions.
Graphs and properties of the six functions are presented in depth. Other topics include
trigonometric equations, inverse trigonometric functions, identities, solutions of triangles, and
real-world applications of trigonometry. Graphing utilities, especially graphing calculators, are
integral to the course.

COURSE TOPICS

1.   Basic Trigonometric Topics
2.   Analytic Trigonometry
3.   Laws of Sines, Cosines, Vectors, and Dot Products
4.   Complex Numbers
5.   Exponential and Logarithmic Functions

TEXTBOOK

Textbook being considered: Trigonometry, 7th Ed. by Larson and Hostetler (McDougal Littell),
2007.

Classwork/Homework                                  20%
Quizzes                                             25%
Tests and Performance Based Assessments             30%
Special Projects                                    15%
Participation                                        5%

*Subject to be modified based on the Division.
STATISTICS – Course Description

Credit: One-half Credit
One Semester
Prerequisite: Algebra II or Algebra II/Trigonometry

COURSE DESCRIPTION

Designed for college-bound juniors and seniors, this course introduces students to the rigorous
analysis of data. It includes four major themes: exploring data; planning a study; anticipating
patterns; and producing models using probability, simulation, and statistical inference. Extensive
use of technology is included. The field of statistics begins with the methods of planning
experiments for obtaining data. It continues through the drawing of conclusions or the making of
decisions from the data. Businesses, government agencies, medical professionals, and general
consumers are influenced by statistics on a daily basis. This course will provide students with an
understanding of statistics from a hands-on as well as a theoretical base. Graphing calculators
are required. The course can be taken at any point after the completion of Algebra
II/Trigonometry or Algebra II.

COURSE TOPICS

1.   Basics of Statistics
2.   Organizing Data
3.   Averages and Variation
4.   Correlation and Regression
5.   Elementary Probability Theory
6.   The Binomial Probability Distribution and Related Topics

TEXTBOOK

Textbook being considered: Understanding Basic Statistics, 4th Ed., by Brase (McDougal Littell)

Classwork/Homework                                  20%
Quizzes                                             25%
Tests and Performance Based Assessments             30%
Special Projects                                    15%
Participation                                        5%

*Subject to be modified based on the Division.
College Algebra – Course Description

MATH 110 — College Algebra: BYU Online Course
http://ce.byu.edu/is/site/courses/description.cfm?reg=6111000

Credit: College Credit
One year course
Prerequisite: High School Precalculus and MATH 97 (Intermediate Algebra) or equivalent

COURSE DESCRIPTION
Functions, polynomials, theory of equations, exponential and logarithmic functions, matrices,
determinants, systems of linear equations, permutations, combinations, binomial theorem. 33
lessons, 34 homework assignment submissions (1 Speedback assignment, 33 Course Compass
homework assignments); 3 proctored midcourse exams; proctored final exam.

COURSE TOPICS
Graphing Techniques: Transformations               Quadratic Functions and Functions
Polynomial Functions                               Rational Functions I
Rational Functions II                              Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function            Composite Functions
Inverse Functions                                  Exponential Functions
Logarithmic Functions                              Properties of Logarithms
Logarithmic and Exponential Equations              Compound Interest
Exponential Growth and Decay                       The Parabola
The Ellipse                                        The Hyperbola
Matrix Algebra                                     Partial Fraction Decomposition
Systems of Nonlinear Equations                     Sequences
Arithmetic Sequences                               Geometric Sequences; Geometric Series
Mathematical Induction                             Sets and Counting
Permutations                                       The Binomial Theorem
Probability                                        Systems of Linear Equations: Matrices
Systems of Linear Equations: Determinants          Complex #’s; Fundamental Thm of Algebra
Systems of Linear Equations: Substitution and Elimination

TEXTBOOK

College Algebra, 7th Ed., by Pearson Custom Publishing by Sullivan, (Prentice-Hall, 2005).