VIEWS: 335 PAGES: 12 CATEGORY: Childrens Literature POSTED ON: 12/7/2009 Public Domain
HYDE LEADERSHIP PUBLIC CHARTER SCHOOL APPLIED CALCULUS I – Course Description Grades: 12 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 GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL GEOMETRY – Course Description Grades: 9-11 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 6. Quadrilaterals 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. GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL PRE-ALGEBRA – Course Description Grades: 6-8 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) GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL PRECALCULUS – Course Description Grades: 10-12 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 GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL ALGEBRA I – Course Description Grades: 8-10 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; quadratic equations; and problem solving. 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 9. Quadratic Equations and 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. GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL ALGEBRA II – Course Description Grades: 10-12 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 5. Quadratic Functions 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. GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL 6TH GRADE MATH – Course Description Grades: 6 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 3. Decimal Addition and Subtraction 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. GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL 7TH GRADE MATH – Course Description Grades: 7 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) GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL LEVEL THREE MATH – Course Description Grades: 7-8 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) GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL TRIGONOMETRY – Course Description Grades: 10-12 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. GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL STATISTICS – Course Description Grades: 11-12 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) GRADING POLICY Classwork/Homework 20% Quizzes 25% Tests and Performance Based Assessments 30% Special Projects 15% Leadership 5% Participation 5% *Subject to be modified based on the Division. HYDE LEADERSHIP PUBLIC CHARTER SCHOOL College Algebra – Course Description MATH 110 — College Algebra: BYU Online Course http://ce.byu.edu/is/site/courses/description.cfm?reg=6111000 Grades: 11-12 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). GRADING POLICY Grades will be assigned based upon effort, as well as, grades earned from assignments that are submitted online.