A school for boys in grades 7 - 12. Founded in 1867.
Mathematics Department

# Mathematics Department Course Syllabi

## Mathematics Department Course Syllabi

Course Syllabi for Mathematics 2015-2016

PRE-ALGEBRA Regular

Teachers 2015-2016 Mr. Cooper, Mr. Wims

TEXT: Pre-Algebra An Accelerated Course, Dolciani, Sorgenfrey, and Graham, Houghton Mifflin Company

COURSE OBJECTIVES: To assist students in numerous ways such as mastering arithmetic skills, developing a system of organization, and promoting interest and enthusiasm for mathematics. In doing so, to prepare students to succeed in Algebra I.

COURSE CONTENT: The content of this course exposes the student to a variety of mathematical topics. Topics include 1) Introduction to Algebra, 2) Positive and Negative Numbers, 3) Rational Numbers, 4) Solving Equations, 5) Geometric Figures, 6) Ratio, Proportion, and Percent, 7) Percents, and Problem Solving, 8) Equations and Inequalities, 9) The Coordinate Plane, 10) Areas and Volume, 11) Applying Algebra to Right Triangles, 12 ) Statistics and Probability, 13) Factoring Polynomials.

EVALUATION: Student evaluation is based on daily assignments, notebook organization, tests, quizzes, and class participation.

PRE-ALGEBRA Honors
Teacher 2015-2016: Mr. Wims

TEXT: Pre-Algebra Larson, Boswell, Kanold, and Stiff, McDougal Littell, Houghton Mifflin Company

COURSE OBJECTIVES: To assist students in mastering Honors Pre-Algebra concepts, developing a system of organization, and promoting interest and enthusiasm for mathematics. By achieving a thorough
understanding of these skills, the students should be prepared to enroll in Honors Algebra I

COURSE CONTENT: Topics include integers, equations, inequalities, rational numbers, proportions, functions, geometry, measurement, data analysis, polynomials, and transformations. Supplemental materials are provided to enhance the course. With a more in-depth study of the concepts than a traditional Pre-Algebra course, the student applies the ideas learned to work challenging problems in order to prepare for Honors Algebra I.

EVALUATION: Student evaluation is based on daily assignments, notebook organization, tests, quizzes, and class participation.

ALGEBRA I Regular and Honors
Teachers 2015-2016: Mrs. Qian, Mrs. Stewart, Mr. Soleiman

TEXTS: (Algebra I Regular) Algebra Structure and Method Book 1, Brown, Dolciani, Sorgenfrey, and Cole, Houghton Mifflin Company; (Algebra I Honors) Merrill Algebra I Applications and Connections, Foster, Winters, Gell, Rath, and Gordon, McMillan / McGraw-Hill.

COURSE OBJECTIVES: To develop proficiency with arithmetical and algebraic skills, to expand understanding of mathematical concepts, to improve logical thinking, and to promote success and interest in algebraic problem-solving.

COURSE CONTENT: 1) Algebraic Language - variable expressions, equations, algebraic properties; 2) Operations with signed numbers - number line positions, problem-solving, equations with multiple operations, ratios and percent; 3) Inequalities - problem-solving, compound sentences, absolute value; 4) Exponents - operations with nominals, word problems involving mixture; 5) Polynomials - identification and operation; 6) Factoring - greatest common factor, distributive property, difference of squares, perfect square trinomial, general trinomials, factoring by grouping, solving quadratic equations; 7) Functions and graphs - relations, linear equations, slope-intercept form, standard form, systems of linear equations; 8) Radicals - irrational roots, simplification, operations, Pythagorean theorem, distance formula; 9) Quadratic Equations - graphing, parabolas, completing the square, quadratic formula, the discriminant, sum and product of roots; 10) Rational Expressions - mixed expressions, complex fractions, operating with complex fractions, applications, direct and inverse variation, work problems; Algebra I Honors: Honors Algebra uses a different text from Regular Algebra. There is a more in-depth study of topics and concepts. Also, supplemental material is provided to enhance the course. The student applies the ideas learned to work challenging problems in order to prepare for Geometry.

EVALUATION: Student evaluation is based on daily assignments, quizzes, and tests.

GEOMETRY Regular and Honors

Teachers 2015-2016: Mr. Calico, Mr. Deutsch, Mr. Golenor, Mrs. Qian, Mr. Raney

TEXTS: (Regular Geometry) Geometry, Jurgensen, Brown, Jurgensen (McDougall-Littell); (Honors Geometry) A Course In Geometry - Plane and Solid, Weeks and Adkins, Bates

COURSE OBJECTIVES: To enable students to reason, solve problems, proofs, and apply geometric concepts in conjunction with algebraic rule.

COURSE CONTENT AND SCHEDULE OF INSTRUCTION: points, lines, planes, angles, parallel lines, parallel planes, congruent triangles, similar polygons, right triangles, trigonometry, circles, construction, areas of
plane figures, areas and volumes of solids, coordinate geometry, translations, transformations. Honors Geometry uses a different text from Regular Geometry. There is a more in-depth study of topics
and concepts. The tests, quizzes, and examinations are very challenging. Also, supplemental material is provided to enhance the course. The student applies the ideas learned to work challenging problems in
order to prepare for future math courses. First Semester: points, lines, planes, angles, parallel lines, construction, translations, transformations, coordinate geometry, parallel lines, and congruent triangles.
Second Semester: right triangles, trigonometry, similar polygons, parallel planes, circles, areas of plane figures, and areas and volumes of solids. Algebraic concepts will be stressed not only to reinforce
geometric ideas but as a natural preview to the upcoming study of Algebra II.

EVALUATION: Homework grades - 25% of semester grade;Major chapter tests - 50% of semester grade; Exam - 25% of semester grade; Homework graded at least twice each week; Major test every 2 - 3 weeks

ALGEBRA II Regular and Honors

Teachers 2015-2016: Mr. Deutsch, Mr. Moran, Mrs. Qian, Mr. Shone

TEXT: (Algebra II Regular) Algebra and Trigonometry, Structure and Method Book 2, Richard G. Brown, Mary P. Dolciani, Robert Sorgenfrey, Robert Kane; Houghton Mifflin Company; (Algebra II Honors) Algebra and Trigonometry: Functions and Applications, Paul A. Foerster; Addison-Wesley Publishing.

COURSE OBJECTIVES: To review and expand upon basic concepts of Algebra I; introduce high level concepts involving conics, logarithms, and trigonometry; prepare students for a college level Algebra course. Prerequisites: Algebra I, Geometry.

COURSE CONTENT: l) First degree equations and inequalities including those containing absolute values; 2) Linear relations and functions - a) equations and inequalities, b) systems of equations and inequalities, c) graphs; 3) Polynomials - a) addition, subtraction, multiplication and division, b) factoring; 4) Rational expressions - a) laws of exponents, b) simplifying radical equations; 5) Irrational and Complex numbers - a) simplifying radical equations, b) solving radical equations, c) imaginary numbers; 6) Quadratic Equations and Functions; 7) Higher Degree Polynomial Equations - a) direct and inverse variations, b) solving equations; 8) Analytical Geometry - a) conic sections, b) systems of equations; 9) Exponential and Logarithmic Functions; 10) Triangle Trigonometry and Trigonometric Functions; 11) Trigonometric Graphs and Identities.

EVALUATION: The semester grade is composed of homework and quizzes (15-20%), tests every 7-12 class days (55-60%), semester examination (25%).

COLLEGE ALGEBRA/TRIGONOMETRY Regular and Honors

Teachers for 2015-2016: Mr. Anglin, Mr. Davidson, Mr. Lanier, Mr. Raney, Mr. Tillman

TEXT: (Regular) Precalculus With Limits: A Graphical Approach; 4th edition, Larson, Hostetler, and Edwards; Houghton Mifflin; (Honors) Calculus I with Pre-Calculus; Larson, Hostetler, and Edwards; Houghton Mifflin.
COURSE OBJECTIVES: This course is the last of four math courses required for graduation. It is typically taken during the junior or senior year. The course reinforces and extends the concepts taught in Algebra II and is intended to prepare the student for his next course, usually introductory calculus, either at MBA or in college. Prerequisites: Algebra I, Algebra II, Geometry.

COURSE CONTENT AND SCHEDULE OF INSTRUCTION: The text contains one chapter of Prerequisites, three chapters on functions and their graphs, three chapters on Trigonometry, one chapter on systems of equations and inequalities, one chapter on matrices, one chapter on sequences, series and probability, two chapters on Analytic Geometry, and one chapter on an introduction to Calculus. Topics to be covered in College Algebra/Trigonometry include: 1) Linear and Quadratic Functions-complex numbers, graphs and systems; 2) Polynomial Functions-graphs; 3) General Functions-graphs, inverses, composition; 4) Exponential and Logarithmic Functions-graphs; 5) Trigonometry-circle and right triangle; 6) Word Problems; 7) Analytic Geometry(conic sections)-graphs, systems; Optional topics-Matrices and Determinants, Sequences, Series, and Probability, Analytic Geometry in Three Dimensions, and limits with an Introduction to Calculus.Honors sections also do derivatives, anti-derivatives, and integrals. Topics 1 - 5 are covered in the first semester, 6 - l 1 in the second semester.

EVALUATION: Grades are based primarily on major tests, with some weight being given to homework and/or quizzes, at the discretion of the teacher.

CALCULUS

Teachers 2015-2016: Mr. Davidson, Mr. Shone

TEXT: Calculus with Applications ninth Edition by Lial, Greenwell, and Ritchey, Addison Wesley Publishing Co.

COURSE OBJECTIVES: A one semester course focusing on differential and integral calculus with applications from various disciplines including business, engineering, and physics.

COURSE CONTENT: 1) Review of Algebra: functions and graphs, linear functions, quadratic and polynomial functions, rational functions, exponential and logarithmic functions and equations; 2) The Derivative: limits, continuity, rates of change, definition of derivative, differentiation techniques, the chain rule, implicit differentiation, differentials, related rates, higher order derivatives, curve sketching using relative maximums and minimums, horizontal and vertical asymptotes, derivatives of logarithmic and exponential functions; 3) The Integral: the antiderivative, the indefinite integral, the power rule, integration by substitution, integrals involving logarithmic and exponential functions, the fundamental theorem of calculus, the definite integral, area between two curves, integration by parts, and volumes of solids of revolution

EVALUATION: The Quarter Grade is comprised of major tests, quizzes, and homework. The Semester (Course) Grade is comprised of the average of the two quarters (75%) and the semester (course) examination (25%).

STATISTICS

Teachers 2015-2016: Mr. Davidson, Mr. Shone

TEXT: Statistics through Applications, 2nd edition; Yates, Starnes, Moore; W.H. Freeman & Co.

COURSE OBJECTIVES: A one-semester course to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.

COURSE CONTENT: Topics include 1) Descriptive analysis and presentation of both single variable data and bivariate data, 2) Probability, 3) Discrete probability distributions including the binomial distribution, 4) Continuous probability distributions emphasizing the normal probability distribution, 5) Sampling distributions, and 6) Inferential statistics involving one population.

EVALUATION: The Quarter Grade is comprised of major tests, quizzes, and homework. The Semester (Course) Grade is comprised of the average of the two quarters (75%) and the semester (course) examination (25%).

STATISTICS AP

Teachers 2015-2016: Mr. Jackson

TEXT: The Practice of Statistics Fourth Edition; Yates, Moore, Starnes; W. H. Freeman & Co.

COURSE OBJECTIVES: To introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. In doing so, to prepare students to succeed on the AP Statistics examination.

COURSE CONTENT: The content of this course follows the College Board mandated curriculum. Topics are as follows:
1. Exploring Data: Describing patterns and departures from patterns
2. Sampling and Experimentation: Planning a conducting a study
3. Anticipating Patterns: Exploring random phenomena using probability and simulation
4. Statistical Inference: Estimating population parameters and testing hypotheses.
Exploring Data: Describing patterns and departures from patterns
Sampling and Experimentation: Planning a conducting a study
Anticipating Patterns: Exploring random phenomena using probability and simulation
Statistical Inference: Estimating population parameters and testing hypotheses.

EVALUATION: Quarter Grade: major tests (60%), quizzes (25%), homework (15%); Semester Grade: Average of the two quarters (75%), Semester Examination (25%); Course Grade: Average of the two semesters.

CALCULUS AB AP

Teachers 2015-2016: Mr. Golenor, Mr. Shone

TEXTS: Calculus: Graphical, Numerical, Algebraic; Finney, Demana, Waits, & Kennedy,Third edition; Prentice-Hall.
COURSE OBJECTIVES: To introduce students to the major concepts of a first-year college calculus course, with the overall objective of preparing the student for the Advanced Placement exam in May.
COURSE CONTENT AND SCHEDULE OF INSTRUCTION: The content of this course is mandated by the College Board. Major Topics include 1) Prerequisites for Calculus, 2) Limits and Continuity, 3) the Derivative, 4) Applications of the Derivative, 5) the Definite Integral, 6) Differential Equations and Mathematical Modeling, 7) Applications of Definite Integrals. Study of these topics is concluded with review for the AP Exam.
EVALUATION: At least 4 major tests are given during each quarter. Also, the student has the option of taking a quarter test covering all the material during the grading period and replacing any major test grade with this grade. A homework notebook of all homework during the quarter is turned in and a grade is given to this work. A semester examination is given the first semester made up of actual published AP questions and given in an AP format. Since this is an AP course, quarter grades are increased by two points.

CALCULUS BC AP

Teacher 2015-2016: Mr. Compton

TEXT: Calculus: Graphical, Numerical, Algebraic; Finney, Demana, Waits, & Kennedy,Third edition; Prentice-Hall.

COURSE OBJECTIVES: To introduce students to the concepts, theory, and applications of differential and integral calculus. In doing so, to prepare students to succeed on the Calculus BC exam.

COURSE CONTENT: The content of this course is mandated by the College Board. Topics include 1) Elementary functions and their properties; 2) Limits and continuity; 3) Theory and applications of differential calculus; 4) Theory and applications of integral calculus; 5) Infinite series, including Taylor series.

EVALUATION: During the first semester, a student's grade is based on his performance on major tests and multiple-choice quizzes. During the second semester, graded review exercises also contribute to the student's grade.

COMPUTER SCIENCE AB AP
Teacher 2015-2016: Mr. Compton

TEXTS: Fundamentals of Java, Lambert and Osborne; Fourth edition, Thomson Publishing; Fundatmentals of Java, Companion Workbook, Adelman/Nagin; Thompson Publishing

COURSE OBJECTIVES: To introduce students to the major concepts of a first-year college computer science programming methodology course, with the overall objective of preparing the student for the Advanced Placement exam in May.

COURSE CONTENT AND SCHEDULE OF INSTRUCTION: The content of this course is mandated by the College Board. A student may take either the A level or the AB level of the Advanced Placement Examination. The following outline lists the sections with major topics:

Section 1: KarelJ Simulator
Section 2: 1st Java Programs
Section 3: Syntax, Errors, and Debugging
Section 4: Control Statements
Section 5: Introduction to Defining Classes
Section 6: More Control Statements
Section 7: Improving User Interface
Section 8: Introduction to Arrays
Section 9: Classes Continued
Section 10: Arrays Continued
Section 11: Recursion, Complexity, and Searching and Sorting
Section 12: Object-Oriented Analysis and Design
Section 13: College Board Gridworld Case Study
Section 14: Review for AP Exam

EVALUATION: Grades are determined by three areas: 40% on tests, 40% on programs, and 20% on homework. Approximately 15 computer programs are assigned each quarter. Written homework assignments are given daily, taken up, and graded. A semester examination is given the first semester made up of actual published AP questions and given in an AP format.