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MATHEMATICS


Algebra AB
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 9, 10, 11, 12
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation.
COURSE SEQUENCE: May be taken as the first course in the mathematics sequence.
OTHER PREREQUISITES: Consent of the Math Department.
SUBSEQUENT COURSE: Plane Geometry or Geometry.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: The goal of this course is to expose the student to basic algebra skills. Topics covered will include systems of equations and inequalities, polynomials, basic factoring, exposure to quadratic and exponential functions, radicals, and graphing various types of equations. After competency has been demonstrated, a calculator may be used. The type of calculator will require instructor approval.

Textbook:
Algebra 1 (IL edition)
Bellman
Prentice Hall 2007
0-13-201588-9 (10 digit)
978-013-201588-2 (13 digit)

Algebra AB Curriculum Guide

Get some extra help online from Prentice-Hall at http://www.PHSchool.com


Algebra 1
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 9, 10, 11, 12
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation.
COURSE SEQUENCE: May be taken as the first course in the mathematics sequence.
OTHER PREREQUISITES: Consent of the Mathematics Department.
SUBSEQUENT COURSE: Plane Geometry, Geometry, or Geometry Honors.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: The goal of this course is to expose the student to algebraic structure and to train the student in the computational and manipulative skills necessary in a college preparatory class. Emphasis is given to solving linear and quadratic equations, factoring, irrational expressions, applications of algebraic skills, and graphing various types of equations. Students will be required to demonstrate competency of basic arithmetic skills to receive credit. After competency has been demonstrated, a calculator may be used. The type of calculator will require instructor approval.

Textbook:
Algebra 1 (IL edition)
Bellman
Prentice Hall 2007
0-13-201588-9 (10 digit)
978-013-201588-2 (13 digit)
0-021-81248-7

Algebra 1 Curriculum Guide

Get some extra help online from Prentice-Hall at http://www.PHSchool.com


Algebra 1 Honors - Indexed Course (Weighted)
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 9, 10, 11
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation.
COURSE SEQUENCE: Algebra 1 Honors may be taken as the first course in mathematics instruction.
OTHER PREREQUISITES: Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
SUBSEQUENT COURSE: Plane Geometry, Geometry, or Geometry Honors.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: The goal of this course is to expose the student to algebraic structure and to train the student in the computational and manipulative skills necessary in a college preparatory class. Emphasis is given to solving linear and quadratic equations, factoring, irrational expressions, applications of algebraic skills, and graphing linear and quadratic equations. In this course, many of the topics are covered in greater detail and at a faster pace than in the regular Algebra 1 course. Students will be required to demonstrate competency of basic arithmetic skills to receive credit. After competency has been demonstrated, a calculator may be used. The type of calculator will require instructor approval.

Textbook:
Algebra 1
Smith
Prentice Hall 2006
0-13-133770-X

Plane Geometry
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 10, 11, 12
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation. For the Class of 2008, and thereafter, it is the minimum level of geometry required for graduation.
COURSE SEQUENCE: Algebra 1 or Algebra AB is a prerequisite.
OTHER PREREQUISITES: Consent of the Mathematics Department.
SUBSEQUENT COURSE: Algebra 2 & Trigonometry or Advanced Algebra & Trigonometry.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: This course is designed to develop logical thinking through the analysis of geometrical situations. Plane Geometry is the study of apparent relationships between figures in a plane such as angles, circles, quadrilaterals, parallel and perpendicular lines, triangles and other polygons. The concept of direct proof is stressed the entire year. Algebra review is stressed throughout the course. Students new to the Lincoln-Way system will be required to demonstrate competency of basic arithmetic skills to receive credit. After competency has been demonstrated, a calculator may be used. The type of calculator will require instructor approval.

Plane Geometry Curriculum Guide

Textbook:
Geometry
Larson
McDougal Little  2001
0-395-93777-9

Get some extra help online from McDougal Littel!
http://www.classzone.com/books/geometry/index.cfm


Geometry
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 9, 10, 11, 12
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation. For the Class of 2008, and thereafter, it may be used to satisfy the geometry requirement.
COURSE SEQUENCE: Algebra AB, Algebra 1, or Algebra 1 Honors is a prerequisite.
OTHER PREREQUISITES: Consent of the Mathematics Department.
SUBSEQUENT COURSE: Algebra 2 & Trigonometry, Advanced Algebra & Trigonometry, or Advanced Algebra & Trigonometry Honors.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: This course is designed for those students desiring a good mathematics background for college or further study. This course is an integrated study of the elements of plane, solid, and coordinate geometry. The concept of logical proof is developed throughout the year along with applications of the principles learned. Deductive reasoning and the use of algebraic skills will be stressed throughout this course. Students new to the Lincoln-Way system will be required to demonstrate competency of basic arithmetic skills to receive credit. After competency has been demonstrated, a calculator may be used. The type of calculator will require instructor approval.

Geometry Curriculum Guide

Textbook:
Geometry for Enjoyment and Challenge
Rhoad
McDougal Little  1991
0-86609-965-4


Geometry Honors - Indexed Course (Weighted)
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 9, 10, 11, 12
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the two mathematics credits required for graduation. For the Class of 2008, and thereafter, it may be used to satisfy the geometry requirement.
COURSE SEQUENCE: Algebra 1 or Algebra 1 Honors is a prerequisite.
OTHER PREREQUISITES: Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
SUBSEQUENT COURSE: Algebra 2 & Trigonometry, Advanced Algebra & Trigonometry, or Advanced Algebra & Trigonometry Honors.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: Geometry Honors is an integrated study of the elements of plane, solid, and coordinate geometry. It is intended for those students considering a math oriented field and who have shown exceptional ability in algebra. Formal logic, varied techniques of proof, right triangle trigonometry and many examples of problems interrelating geometric concepts with algebraic skills will be presented. Deductive reasoning and the use of algebraic skills will be stressed throughout this course. The depth, scope, and pace greatly exceed the regular geometry course. Research projects will be required. Students new to the Lincoln-Way district will be required to demonstrate competency of basic arithmetic skills to receive credit. After competency has been demonstrated, a calculator may be used. The type of calculator will require instructor approval.

Geometry Honors Curriculum Guide

Textbook:
Geometry for Enjoyment and Challenge
Rhoad
McDougal Little  1991
0-86609-965-4


Algebra 2 & Trigonometry
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 10, 11, 12
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation.
COURSE SEQUENCE: Plane Geometry, Geometry, or Geometry Honors is a prerequisite.
OTHER PREREQUISITES: Consent of the Mathematics Department.
SUBSEQUENT COURSE: Mathematical Analysis & Trigonometry, Trigonometry, or Statistics.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: This course is designed to strengthen algebraic skills while advancing to new topics. The introduction and use of a graphing calculator is heavily incorporated into the curriculum as well. Topics to be covered will include equations and inequalities, graphing, functions, right triangle trigonometry, law of sines/cosines, systems of equations, matrix algebra, polynomials and polynomial functions, radical expressions, quadratic functions and inequalities, rational expressions, and combinatorics. A TI-83 or TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
Glencoe Algebra 2
Foster
Glencoe McGraw-Hill  2001
0-07-822887-5

Get some extra help online from Glencoe!
http://www.glencoe.com/sec/math/algebra/algebra2/algebra2_01/index.htm


Advanced Algebra & Trigonometry
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 10, 11, 12
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation.
COURSE SEQUENCE: Plane Geometry, Geometry, or Geometry Honors is a prerequisite.
OTHER PREREQUISITES: Consent of Mathematics Department.
SUBSEQUENT COURSE: Pre-Calculus & Trigonometry or Pre-Calculus & Trigonometry Honors.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: Advanced Algebra & Trigonometry is designed for those students who have demonstrated interest and ability in mathematics and for those students who desire a strong mathematics background for college or future study. The course will start with a review of Algebra 1, and then extend to topics of second year algebra, college algebra, and analytic geometry. Topics covered are complex numbers, algebra of polynomials, functions (including logarithmic and exponential functions), conic sections, permutations, combinations, probability, arithmetic and geometric progressions, binomial theorem, mathematical induction, and introductory trigonometry. TI-83 or TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
Algebra and Trigonometry
Larson
McDougal Little  2001
0-618-05283-6


Advanced Algebra & Trigonometry Honors- Indexed Course (Weighted)
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 10, 11
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation.
COURSE SEQUENCE: Geometry or Geometry Honors is a prerequisite.
OTHER PREREQUISITES: Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
SUBSEQUENT COURSE: Pre-Calculus & Trigonometry or Pre-Calculus & Trigonometry Honors.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: Advanced Algebra & Trigonometry Honors is designed for students who demonstrate exceptional ability and interest in mathematics. A strong background and mastery of Algebra 1 skills are essential. Students should have good study habits and welcome challenge. The course will cover, in greater depth and at a faster pace, the same topics as Advanced Algebra and Trigonometry, as well as, additional topics. Problem solving skills will be stressed. A TI-83 or TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
Algebra and Trigonometry
Larson
McDougal Little  2001
0-618-05283-6


Mathematical Analysis & Trigonometry
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective. May be used to satisfy one of the mathematics credits required for graduation.
COURSE SEQUENCE: Algebra 2 & Trigonometry is a prerequisite.
OTHER PREREQUISITES: Consent of the Mathematics Department.
SUBSEQUENT COURSE: Pre-Calculus & Trigonometry, Pre-Calculus & Trigonometry Honors, Advanced Placement Statistics, or Advanced Placement Calculus AB.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: This course is designed for the college bound student to parallel most university College Algebra courses. Mastery of skills learned in Algebra 1, Geometry, and Algebra 2 & Trigonometry is essential to be successful in this class. Topics to be covered include trigonometric functions, graphs, and inverses, triangular and circular trigonometry, conic sections, exponential and logarithmic functions, sequences and series, combinatorics and probability, limits, and an introduction to differential calculus. A TI-83 or TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
Advanced Mathematical Concepts
Gordon-Holiday
Glencoe McGraw-Hill  1994
0-02-834135-X

Find some real world applications from Glencoe!
http://www.glencoe.com/sec/math/precalculus/amc/internet.htm


Pre-Calculus & Trigonometry
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: Mathematical Analysis & Trigonometry, Advanced Algebra & Trigonometry, or Advanced Algebra & Trigonometry Honors is a prerequisite.
OTHER PREREQUISITES: Consent of Mathematics Department.
SUBSEQUENT COURSE: A. P. Calculus (AB or BC).
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: Pre-Calculus & Trigonometry is designed for those students who are planning to take AP Calculus in high school or calculus in college and will aid those students taking physics and chemistry at the college level. The course will cover topics of college algebra and finite mathematics leading up to the calculus. A partial list of topics includes polynomial functions, exponential and logarithmic functions, trigonometric functions, circular and triangular trigonometry, sequences and series, limits, and vectors. Practical applications of theory are emphasized. A TI-83 or TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
Advanced Mathematics
Brown
McDougal Little  1994
0-395-42168-3


Pre-Calculus & Trigonometry Honors - Indexed Course (Weighted)
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: Advanced Algebra & Trigonometry or Advanced Algebra & Trigonometry Honors is a prerequisite.
OTHER PREREQUISITES: Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
SUBSEQUENT COURSE: A.P. Calculus (AB or BC).
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: Pre-Calculus & Trigonometry Honors is designed for the exceptional students who are planning on continuing their study of mathematics and science in college. The course will review and extend the students’ knowledge in the areas of Advanced Algebra & Trigonometry. Emphasis in the course is on topics to best prepare the students for learning calculus. A partial list of topics includes the wrapping function and trigonometry, sequences and series, and equation theory. Students may also be extensively introduced to the calculus topics of limits, differentiation, and integration including various methods of evaluation, vectors, and linear algebra. Critical analysis and graphical analysis are emphasized throughout this course. A TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
PreCalculus:  Graphing and Data Analysis
Sullivan
Prentice Hall  2000
0-13-02955-8


A.P. Calculus AB - Indexed Course (Weighted)
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: Mathematical Analysis & Trigonometry, Pre-Calculus & Trigonometry, or Pre-Calculus & Trigonometry Honors is a prerequisite.
OTHER PREREQUISITES: Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
SUBSEQUENT COURSE: AP Statistics or AP Computer Science.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: The course is structured to prepare students for the Advanced Placement Calculus AB Examination. Topics covered include algebraic and transcendental functions, the derivative and its applications, chain rule, integration, the fundamental theorems of calculus, the mean value theorem, applications of the definite integral, differential equations and slopefield. Students may also cover plane analytic geometry and parametric equations. A TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
Calculus Concepts and Calculators 2nd Edition
Best, Carter, Crabtree
Venture Publishing  2003
1-886018-30-8


A.P. Calculus BC - Indexed Course (Weighted)
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: Pre-Calculus & Trigonometry or Pre-Calculus & Trigonometry Honors is a prerequisite.
OTHER PREREQUISITES: Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
SUBSEQUENT COURSE: Independent Study, AP Statistics, AP Computer Science, or Internet Math.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: The course is structured to prepare students for the Advanced Placement Calculus BC Examination. Topics covered include algebraic and transcendental functions, the derivative and its applications, chain rule, integration, the fundamental theorems of calculus, the mean value theorem, applications of the definite integral, improper integrals, polar coordinates, parametric equations, infinite sequence and infinite series, the Maclaurin and Taylor Series, and elementary differential equations. A TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
Calculus Concepts and Calculators 2nd Edition
Best, Carter, Crabtree
Venture Publishing  2003
1-886018-30-8


A.P. Statistics - Indexed Course (Weighted)
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: None.
PREREQUISITES: Completion of Algebra 2 & Trigonometry with a B- or higher or completion of a higher-level math course and consent of the Mathematics Department.
OTHER PREREQUISITES: Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
STUDENT AND STAFF ORGANIZATION: Conventional and laboratory.
COURSE OVERVIEW: The course is structured to prepare students for the Advanced Placement Statistics Examination. Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1. Exploring Data: Observing patterns and departures from patterns, 2. Planning a Study: Deciding what and how to measure, 3. Anticipating Patterns: Producing models using probability and simulation, 4. Statistical Inference: Confirming models. A TI-83 or TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
The Practice of Statistics
Yates
W.H. Freeman and Company  1999
0-7167-3370-6

AP Statistics Curriculum Guide


Statistics

SEMESTER: 1
CREDIT: 1/2
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: Completion of Algebra 2 & Trigonometry or higher.
OTHER PREREQUISITES: Consent of the Mathematics Department.
STUDENT AND STAFF ORGANIZATION: Conventional and laboratory.
COURSE OVERVIEW: This course is structured for those students who desire an introduction to statistics and do NOT plan on taking the Advanced Placement Statistics Exam during the given school year. This one-semester course will supply the students with the skills necessary to analyze many life situations in a data-driven world. Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1. Producing data. 2. Organizing data. 3. Statistical probability. 4. Drawing conclusions - inference. This course may be taken in conjunction with the one-semester Trigonometry course in order to acquire a full-year of mathematics credit. A TI-83 Plus graphing calculator is required. Any other type of calculator will require instructor approval.

Textbook:
Statistics Through Applications
Yates
W. H. Freeman & Company (VHPS) 2005
0-7167-4772-3

Trigonometry
SEMESTERS: 1
CREDIT: 1/2
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: Completion of Algebra 2 and Trigonometry or higher.
OTHER PRE-REQUISITES: Consent of the Mathematics Department.
STUDENT AND STAFF ORGANIZATION: Conventional.
COURSE OVERVIEW: The course is designed for students who will be going to college, but do not intend to pursue a degree in math or science related field. The course will cover approximately 7 chapters of Trigonometry. Topics will include definitions of the trig functions, trig functions of acute and non-acute angles, solving right triangles, applications of right triangles, radian measures, graphs of trig functions, trig identities, solving trig equations and solving oblique triangles.

Textbook:
Trigonometry, 8th Edition
Lial
Prentice Hall 2005
0-321-24543-1

A.P. Computer Science - Indexed Course (Weighted)
SEMESTERS: 2
CREDIT: 1
GRADE PLACEMENT: 10, 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: None. Offered on alternating years.
PREREQUISITES: Completion of Geometry or Geometry Honors is required, and concurrent enrollment is required in an additional upper level mathematics course.
OTHER PREREQUISITES: Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
STUDENT AND STAFF ORGANIZATION: Conventional and laboratory.
COURSE OVERVIEW: This course is intended to prepare the student for the Advanced Placement Computer Science AB Examination. The JAVA programming language is currently used to teach programming methodology, algorithms, and data structures. Advanced data structure design including linked lists, stacks, queues, and trees are covered. The topics of recursion, sorting, and searching are examined. Emphasis is placed on top down methodology and program efficiency. Whenever the programming language is changed by the national A.P. program, the course will adjust accordingly.

Textbooks:
Beginning Java 2
Horton, Ivor
Wrox Press 2000
1-861003-66-8

Big Java
Horstmann, Cay
John Wiley & Sons, Inc. 2002
0-471-40248-6


Internet Math - Indexed Course (Weighted)
SEMESTERS: 1, 2, or 1 & 2
CREDIT: 1
GRADE PLACEMENT: 11, 12
GRADUATION REQUIREMENT: Elective.
COURSE SEQUENCE: AP Calculus.
OTHER PREREQUISITES: Consent of the Mathematics Department. Must qualify for, or be invited for admission to an indexed course in this academic department. For specific information on indexed courses, see the handbook section titled ‘GRADE POINT AVERAGE INDEXING’.
STUDENT AND STAFF ORGANIZATION: Combination independent and laboratory.
COURSE OVERVIEW: Internet Math is intended for the student who has completed AP Calculus, passed the AP Calculus exam with a score of 3 or better, and desires to continue the study of mathematical courses beyond the AP Calculus. The student will need to be organized, able to learn independently, motivated, disciplined enough to put in the time, and have a strong desire to learn. The course is taught online through the University of Illinois at Urbana-Champaign. The course will require the student to use the software Mathematica. Prior knowledge of the software is not necessary. There are several different courses to choose from. To qualify as an Indexed Course, and therefore, to receive the additional weighting, the selected course will need to be at the 200 level or above. Courses can be taken over a period of one or two semesters. Credit will be given for the successful completion of a course regardless of whether it is done in one or two semesters. Additional information can be found at the website “http://netmath.uiuc.edu/”.

Individualized Instruction: Math
(See Specialized Instruction)

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