Mathematics

Course Offerings

AP CALCULUS AB 1 & 2 (3230/3235)
Prerequisite: Successful completion of all courses through Pre-Calc
Course Detail: 2 Trimesters
Course Fee: None
Grade Level: 11-12
Credit: 1

This two-part course on Calculus follows the objectives of the CEEB Advanced Placement Program. This course covers the concept of Limits: algebraically, numerically, graphically and verbally. The course then continues on with a formal definition of the derivative and finishes with the chain, product and quotient rules for derivatives. Finally, students use the ideas of limits and derivatives to study the concepts in context with engineering, physics and business applications. Part two picks up with the study of two types of integrals, using integrals to solve accumulation problems, area problems, volumes of rotation, solving separable differential equations and introductory integration techniques. Students are given the opportunity to take the Advanced Placement Exam in May. Each student will be required to have a TI-84+ graphing calculator. Students will also need ready access to a computer and the internet. (NOTE: The cost of the AP Exam is approx. $94.00 for each student who chooses to take the exam.)

 

AP CALCULUS BC 1 & 2 (3260/3265)

Prerequisite: Successful completion of all courses through AP Calc AB
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 12
Credit: 1

This course is a continuation of a study on Calculus following the objectives of the CEEB Advanced Placement Calculus BC Program. This course reviews the concept of limits, derivatives and integration using the rule of 4: algebraically, numerically, graphically and verbally. The course will then cover topics on Improper Integrals, Infinite Series including radii of convergence and convergence tests, parametric functions, polar functions, vectors as well as further studies in solving differential equations. Students are given the opportunity to take the Advanced Placement Calculus BC Exam in May. Each student will be required to have a TI-84+ graphing calculator. Students will also need ready access to a computer and the internet. Students planning on taking the AP exam are eligible to take the AP Calculus Study Course during Trimester 3. (NOTE: The cost of the AP Exam is approx. $94.00 for each student who chooses to take the exam.)

 

AP CALCULUS AB/BC PREP (3238)

Prerequisite: AP Calculus 1 & 2
Course Detail: 1 Trimester

Course Fee: None
Grade Level: 11-12
Credit: 0.5 

AP Prep courses are extensions of the regular AP coursework and are intended to further prepare students for the AP examination process. Students will review major course concepts and address topics in greater detail in situations where the pacing of the course did not afford the opportunity. Students will also continue to work on taking practice tests and activities to prepare for the rigors of the AP Exam. When the AP Exams have concluded, students will be engaged in content area projects where they will further synthesize course concepts.

 

AP STATISTICS 1 (3215/3216)

Prerequisite: Successful completion of all courses through Adv Alg
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 11-12
Credit: 1

This two-part course on Statistics follows the objectives of the CEEB Advanced Placement Program. This is a college level, non-calculus based course. This course is designed to present strategies for collecting, organizing, analyzing, and drawing conclusions from data. Students will work on projects involving the hands-on gathering and analysis of real world data. They will learn to interpret and judge the statistical information in the world around them. Computers and calculators will allow students to investigate and explore statistical concepts. Effective communication skills will be developed through regular written analysis of real data. The course content and learning activities will prepare students for the AP Exam and possible college credit. Each student will be required to have a TI-84+ graphing calculator. They will also need ready access to a computer and the internet. (NOTE: The cost of the AP Exam is approximately $94.00 for each student who chooses to take the exam.) *Early Bird class will meet daily for one trimester from 6:30 a.m. - 7:40 a.m.

 

AP STATISTICS PREP (AP Statistics Prep - 3219)

Prerequisite: AP Statistics 1 & 2
Course Detail: 1 Trimester

Course Fee: None
Grade Level: 11-12
Credit: 0.5

AP Prep courses are extensions of the regular AP coursework and are intended to further prepare students for the AP examination process. Students will review major course concepts and address topics in greater detail in situations where the pacing of the course did not afford the opportunity. Students will also continue to work on taking practice tests and activities to prepare for the rigors of the AP Exam. When the AP Exams have concluded, students will be engaged in content area projects where they will further synthesize course concepts.

 

ADVANCED ALGEBRA 1 & 2 (3140/3150)

Prerequisite: Successful completion of Algebra & Geometry
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 10-12
Credit: 1 

Passing Advanced Algebra 1 and 2 satisfies minimum college admission requirements. Each topic investigates applications to real world problems. Problem-solving strategies are integrated throughout. Topics covered in trimester one include Functions and Function Notation, Linear Functions, Quadratic Functions, Radical Functions and Polynomial Functions. Topics covered in trimester 2 include Rational Functions, Exponential/Logarithmic Functions, Conics, Statistics and Trigonometry. A graphics calculator (TI-84+) is recommended.

 

ALGEBRA 1 & 2 (3001/3002)

Prerequisite: None
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 9
Credit: 1

Algebra covers basic topics in algebra including expressing relationships algebraically, solving and graphing equations/inequalities, polynomial operations, systems of equations and probability. Linear equations are applied to problem solving. Algebra 2 topics include expressing relationships algebraically, factoring, stats, matrices, sequences/series and rational and irrational numbers. Quadratic and exponential equations are applied to problem solving. Emphasis is placed on the application of mathematical principles to a wide variety of problems. A scientific or graphics calculator is recommended.

ELEMENTARY ALGEBRA 1 & 2 (3050/3055)

Prerequisite: Algebra & Geometry
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 11-12
Credit: 1

This course offers traditional algebra topics with applications. Learners develop algebraic problem solving techniques needed for technical problem solving and for more advanced algebraic studies. Topics include linear equations, exponents, polynomials, rational expressions, and roots and radicals. Successful completion of this course prepares learners to succeed in technical mathematics courses.

 

FUNCTIONS, STATISTICS, TRIGONOMETRY (FST) 1 & 2 (3240/3245)

Prerequisite: Successful completion of all courses through Adv Alg
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 11-12
Credit: 1 

This is a two-part course. Functions, Statistics, and Trigonometry (FST) will combine traditional mathematical content will an emphasis on problem solving in real-life situations, geometry, statistics, and probability. FST emphasizes functional expressions and forms, especially linear and quadratic forms, powers and roots, and functions based on these concepts. Students study logarithmic, trigonometric, polynomial, circular and other special functions both for their abstract properties and for modeling real-world situation. The course will also introduce statistical properties such as measures, probability, simulation and binomial and normal distributions. A graphics calculator is needed.

 

GEOMETRY 1 & 2 (3101/3111 )

Prerequisite: Successful completion of Algebra 1 & 2
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 9-12
Credit: 1 

This is a two-part course. The course introduces the basic geometric figures and postulates. It then uses these to create theorems involving angle pair relations, parallel and perpendicular lines, transformations and similarity. Part two begins with trigonometry. After trigonometry is covered, the course moves to congruent triangles, quadrilaterals and polygons, circles and three-dimensional figures. A scientific or graphics calculator is recommended.

 

GEOMETRY IN CONSTRUCTION 1: GEOMETRY (3250)
GEOMETRY IN CONSTRUCTION 2: GEOMETRY (3255)
GEOMETRY IN CONSTRUCTION 3: CONSTRUCTION (8640)

Prerequisite: Passed Algebra 1 & 2
Course Detail: 3 Trimesters

Course Fee: $20 & Materials
Grade Level: 9-12
Credit: 1.5 (1 - Geom; 0.5 - Const)

This class will meet for one period all year long. Students must register for all three courses. Geometry in Construction is an integrated course where students learn a variety of topics through building a significant construction project that will be of service to the Watertown community. Students will learn safety, problem solving, tool use, print reading, and career exploration. Geometry content is similar to other geometry courses in the Math Department and is designed to prepare students for Advanced Algebra. The course is team taught with a Math and Tech Ed teacher. Students do not need prior construction experience.

 

HONORS ADVANCED ALGEBRA 1 & 2 (3225/3226)

Prerequisite: Algebra & Honors Geometry
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 10-11
Credit: 1

This is a two-part course. Honors Advanced Algebra moves at a faster pace and more in depth than Advanced Algebra. Each topic investigates applications to real world problems. Problem-solving strategies are integrated throughout. Topics covered include functions, linear functions, quadratic functions, radical functions, polynomial functions, and rational functions. Topics covered in trimester 2 include matrices, probability, sequences and series, statistics, trigonometry, logarithmic functions and conics A graphics calculator is recommended.

 

HONORS GEOMETRY 1 & 2 (3100/3110)

Prerequisite: Algebra
Course Detail: 2 Trimesters

Course Fee: None
Grade Level: 9-10
Credit: 1

This is a two-part course. Honors Geometry moves at a faster pace and is more in depth than Geometry. The course introduces the basic geometric figures and postulates. It then uses these to create theorems involving angle pair relations, parallel and perpendicular lines, transformations and similarity. Course two begins with trigonometry and will move to congruent triangles, quadrilaterals and polygons, circles and three-dimensional figures. A scientific or graphics calculator is recommended.

 
AP PRECALCULUS 1 & 2 (3180/3181)

Prerequisite: Successful completion of Adv. Algebra with C or better
Course Detail: 2 Trimesters
Course Fee: None
Grade Level: 10-12
Credit: 1

This two-part course on Precalculus follows the objective of the CEEB Advanced Placement Program. The course develops the mathematical practices of procedural and symbolic fluency, multiple representations, communication, and reasoning and their associated skills. Course content is organized into four units that comprise the content and conceptual understanding desired by colleges and universities. Units of studies include: polynomial and rational functions, exponential and logarithmic functions, trigonometric and polar functions, and functions involving parametrics, vectors, and matrices. Students will be provided the opportunity to take an Advanced Placement exam in May to earn college credit. Each student will be required to have a TI-84+ graphing calculator and need ready access to a computer and internet. Students planning to take the AP exam are eligible to take the AP Precalculus Study Course during Trimester 3. (NOTE: The cost of the AP Exam is approx. $98 for each student who chooses to take the exam.)

Course Sequence

Current Class

Passed with C or Better

Passed with below C

Algebra

Geometry

Geometry

Geometry

Advanced Algebra

Elementary Algebra

Elementary Algebra

Advanced Algebra

Advanced Algebra

Advanced Algebra

AP Precalculus, AP Statistics or FST

FST

FST

AP Precalculus and/or AP Statistics

AP Precalculus or AP Statistics

AP Precalculus

AP Calculus AB and/or AP Statistics

FST or AP Statistics

AP Calculus AB

AP Calculus BC and/or AP Statistics

AP Calculus BC or AP Statistics