Mathematics

Mathematics Department Course Offerings

Grade	Level 1	Level 2	Level 3
9	Geometry-Honors Introduction to Computer Science	Algebra I Introduction to Computer Science Geometry
10	Algebra II-Honors Introduction to Computer Science	Geometry Introduction to Computer Science Algebra II	Geometry
11	Pre-Calculus-Honors Introduction to Computer Science AP Computer Science A	Algebra II Introduction to Computer Science Pre-College Algebra and Trigonometry Pre-Calculus	Algebra II Geometry
12	AP Calculus I + II (BC) AP Calculus I (AB) AP Statistics Introduction to Computer Science AP Computer Science A	Pre-College Algebra and Trigonometry Pre-Calculus Introduction to Computer Science Statistics Introduction to Calculus Discrete Math Math for Business & Econ	Statistics Algebra II

DHHS requires 3.5 credits of Mathematics for graduation.

The placement of courses in this chart is what is typical. See the flow chart at the end of the math section to see all of the options.

In the Mathematics Department, Levels 1, 2, and 3 are defined as follows:

Level 1: For students who have demonstrated exceptional skills in mathematics, who are considering mathematics or science related careers, and who meet the criteria established by the Mathematics Department.
Level 2: For students who may have a commitment to mathematics or science related careers or who wish to pursue a rigorous and demanding college-bound sequence of study.
Level 3: For students who wish to pursue an academic program in preparation for college or a technical field, but at a pace that allows for the review of skills that have not been previously mastered.

Notes:

Student placements are based on performance in the previous math course. A student will not be recommended for a course unless they have met the prerequisite that is found at the top of the course description.
An A average and a teacher recommendation is required in a current course before a student will be considered for advancement to a higher level.

Courses

Math

Math

0.5 Credit per trimester
Course No. 109, 110, 111, 112 (Grades 9, 10, 11, 12 respectively)
Trimesters: varies

The focus of this course is on the acquisition of the basic and transitional math skills. The skills include mathematical reasoning, problem-solving, consumer mathematics, and applied mathematics.

Algebra I (L2)

Algebra I

1.5 Credit
Course No. 232
Level 2
Trimesters: 3

Prerequisite: Pre-Algebra with the minimum grade of B.

The Algebra I level 2 curriculum is tied to the Connecticut State Standards and the needs of college bound students. Units focus on mastery of big ideas and transfer of skills to complex real-life tasks. Units include patterns, linear functions, statistical modeling, systems of equations and inequalities, quadratic and absolute value functions, and exponential functions. This course, which serves as the foundation for subsequent math courses, is rigorous and focuses on depth of understanding.

Geometry Honors

Geometry - Honors

1 Credit
Course No. 241
Level 1
Trimesters: 2

Prerequisite: Algebra I Level 2 with a final grade of A and a teacher recommendation.

This course will fully explore topics in plane, solid, and coordinate geometry through the study of spatial relationships and the use of an articulated, logical deductive system. Rigorous proofs will be an integral part of this course. Geometric concepts will be reinforced utilizing algebraic skills.

Geometry (L2)

Geometry

1 Credit
Course No. 242
Level 2
Trimesters: 2

Prerequisite: 8th Grade Algebra I with a minimum of B- or Algebra I Level 2 with a minimum grade of C+.

This course will explore topics in plane, solid, and coordinate geometry, with emphasis on the development of an articulated, logical, and deductive system centered on proof. Applications of algebra will be used throughout the course to reinforce the concepts covered in geometry.

Geometry (L3)

Geometry

1 Credit
Course No. 243
Level 3
Trimesters: 2

Prerequisite: Successful completion of Algebra I.

This geometry course is presented through the study of visual patterns. Topics in plane and solid geometry are studied through the traditional postulates with algebra integrated throughout the course. Transformations and measurement, including area and volume, are explored as well as an introduction to the concept of proof.

Algebra II - Honors

Algebra II - Honors

1 Credit
Course No. 251
Level 1
Trimesters: 2

Prerequisite: Geometry - Honors with a minimum grade of B. Algebra I with a grade of A and teacher recommendation.

This course extends the content learned in Algebra I. Linear quadratic, polynomial, rational, exponential, and logarithmic functions and complex numbers are studied in detail. The use of both real and complex numbers will be explored. Advanced problem-solving is a key component of this course. Topics in trigonometry will also be introduced.

Algebra II (L2)

Algebra II

1 Credit
Course No. 252
Level 2
Trimesters: 2

Prerequisite: Algebra I Level 2 with minimum grade of B- and Geometry Level 2 with a minimum grade of B-.

This course extends the content learned in Algebra I. Linear functions, quadratic functions, polynomial, and rational exponential functions, logarithmic functions and the complex numbers are studied in detail. Problem solving is an integral part of the course focus. Scientific and graphing calculators will be used as tools to broaden the students’ mathematical experience. If time allows, topics in trigonometry are introduced.

Algebra II (L3)

Algebra II

1 Credit
Course No. 253
Level 3
Trimesters: 2

Prerequisite: Successful completion of Algebra I and Geometry.

This course extends the content learned in Algebra I. New topics will include the study of functions, with particular emphasis on linear, quadratic, logarithmic, and exponential functions. An introduction to complex numbers will be included. Problem solving will focus on real world applications.

Introduction to Computer Science

Introduction to Computer Science

1 Credit
Course No. 288
Level 2; Contract for Level 1*
Trimesters: 2

Prerequisite: Successful completion of Algebra I.

This course will provide an in-depth introduction to computer programming using a modern programming language. Students will learn how to design and develop programs and will learn the major programming topics including: program flow and control, iteration, branching, data structures, functions, user-interface design, file input/output, arrays, lists, and algorithms. In addition, object-oriented, design and development concepts will be introduced. This is a hands-on class, and students should be prepared to spend a considerable amount of time working on their projects outside of class.
*Students may sign a contract which will specify academic requirements that must be met in order for Level 1 credit to be granted. After contracting for Level 1 credit, any student seeking to drop to Level 2 must follow all of the requirements for dropping a course. (See description in the Program of Studies.)

Pre-College Algebra and Trigonometry

Pre-College Algebra and Trigonometry

1 Credit
Course No. 260
Level 2
Trimesters: 2

Prerequisite: Algebra II Level 2 with a minimum grade of C- or Algebra II Level 3
with an A and teacher recommendation.

This course extends Algebra II topics and introduces major topics of trigonometry. It serves as a bridge between Algebra II and Pre-calculus and is designed to prepare students for post-secondary mathematics courses.

Pre-Calculus - Honors

Pre-Calculus - Honors

1 Credit
Course No. 261
Level 1
Trimesters: 2

Prerequisite: Algebra II – Honors with a minimum grade of B. Algebra II Level 2 with a minimum grade of A, teacher recommendation and successful completion of trigonometric unit from Algebra II - Honors.

This course is primarily designed as a preparation for Advanced Placement Calculus. Students who meet the requirements for this course will be provided with a rich mathematical foundation upon which to build. Trigonometry, polar coordinates, conic sections, vectors, sequences, and the limit and the derivative of a function will be among the topics covered. Students must have a graphing calculator because its use is integrated throughout the course.

Pre-Calculus

Pre-Calculus

1 Credit
Course No. 262
Level 2
Trimesters: 2

Prerequisite: Algebra II Level 2 with a minimum grade of B- or Pre-College Algebra
and Trigonometry Level 2 with a minimum grade of B-.

This course is designed to prepare students for calculus. The first trimester will cover polynomial, rational, power, exponential, and logarithmic functions. The second trimester will focus on trigonometric functions. Students must have a graphing calculator because its use is integrated throughout the course.
Note: At the end of their Algebra level 2 course, students will be given a set of practice problems. Proficiency in these skills is necessary for success in Pre-Calculus. These problems, with support materials, will be available online. An assessment on these skills will be given during the second week of class.

Introduction to Calculus

Introduction to Calculus

1 Credit
Course No. 289
Level 2
Trimesters: 2

Prerequisite: Successful completion of Pre-Calculus Honors. Pre-Calculus Level 2 with a minimum grade of B- and teacher recommendation.

Students will review prerequisite algebra and geometry skills and then move on to beginning calculus topics which lean heavily on concepts of limits and differentiation. This course is not intended to prepare students for the AP Calculus exam or satisfy university requirements for a full one-trimester calculus course. Students must have access to a graphing calculator at their home for this course because graphing calculator use will be integrated throughout the course.

AP Calculus (AB)

Advanced Placement Calculus (AB)

1 DHHS Credit
Course No. 272
(Calculus I: MATH 1131Q) 4 UCONN Credits
Level 1
Trimesters: 2

Prerequisite: Pre-Calculus Honors with a minimum grade of B or Pre-Calculus with a minimum grade of A.

The course is designed to build a strong foundation in the basics of calculus: differentiation and integration. Students are introduced to new ways of thinking about math including graphical, numerical, and analytical approaches. Modeling, problem-solving, and data analysis emphasizing real-life data will also be studied. The curriculum in this course will also be sufficient preparation for the AP Calculus AB Exam. The graphing calculator use will be integrated throughout the course. Students must have a graphing calculator for home use. Only students who are registered in the UConn/ECE program for this course and earn a passing grade will receive UConn/ECE credit.

Homework: The typical homework assignment in this course will take approximately 45 minutes to complete.

AP Calculus (BC)

Advanced Placement Calculus (BC)

1.5 DHHS Credits
Course No. 271
(Calculus I & Calculus II: MATH 113Q & MATH 1132Q) 8 UCONN credits
Level 1
Trimesters: 3

Prerequisite: Pre-Calculus Honors with a minimum grade of B or Pre-Calculus with a minimum grade of A.

This challenging course allows students to preview college work, build confidence, and earn college credit. It is concerned with developing student understanding of calculus concepts and providing experiences in theory, fundamentals, and applications. Concepts will be explored graphically, numerically, analytically, and verbally. This course focuses on all the topics of differential and integral calculus and investigates polynomial approximations and series. Polar graphs, parametric equations, and differential equations will be included. The curriculum in this course will also be sufficient preparation for the AP Calculus BC Exam. Graphing calculator use will be integrated throughout the course. Students must have a graphing calculator for home use. Only students who are registered in the UConn/ECE program for this course and earn a passing grade will receive UConn/ECE credit.

Homework: The typical homework assignment in this course will take approximately 45 minutes to complete.

AP Statistics

Advanced Placement Statistics

1 DHHS Credit
Course No. 291
(Elementary Concepts of Statistics: STAT 1100Q) 4 UCONN credits
Level 1
Trimesters: 2

Prerequisite: Pre-Calculus Honors with a minimum grade of B- or Pre-Calculus with a minimum grade of A.

This course will use modern methods of data analysis to explore and master all topics necessary for success on the AP Statistics exam. Students will explore the four broad conceptual themes: exploring data, planning a study, probability, and statistical inference. Technology will play an essential role in the learning through graphical representation, simulation, and experimentation. The graphing calculator use will be integrated throughout the course. Students must have a graphing calculator for home use. Only students who are registered in the UConn/ECE program for this course and earn a passing grade will receive UConn/ECE credit.

Discrete Math

Discrete Math

0.5 DHHS Credit
Course No. 267
(Elem. Discrete Mathematics: MATH 1030Q) 3 UCONN Credits
Level 2
Trimesters: 1

Prerequisite: Successful completion of Algebra II Level 2. Algebra II Level 3 with a minimum grade of C.

This elective course has been designed to extend the high school mathematics experience. Topics covered will include but not necessarily be limited to finances, probability, election theory, and graph theory. Topics are chosen from discrete mathematics. These may include counting and probability, sequences, graph theory, deductive reasoning, the axiomatic method and finite geometries, number systems, voting methods, apportionment methods, mathematics of finance, number theory.

Only students who are registered in the UConn/ECE program for this course and earn a grade of C or better will receive UConn/ECE credit.

AP Computer Science A

AP Computer Science A

1 Credit
Course No. 281
Level 1
Trimesters: 2

Prerequisite:

Students should have completed both of these courses: Algebra II Level 2 with a final grade of A- or higher OR Algebra II Level 1 with a final grade of B- or higher.
Introduction to Computer Science Level 2 with a final grade of A OR Introduction to Computer Science Level 1 with a final grade of B- or higher OR personal programming experience with teacher approval.

AP Computer Science A is an introductory college-level computer programming course that focuses on problem-solving through the use of computer programming. The course follows the College Board’s AP Computer Science curriculum, with a goal of preparing students for the AP Computer Science A exam. Students will understand and be able to use the concepts, techniques, and skills typically covered in a typical college-level introductory computer science course. Specifically, students will be able to analyze problems and design and implement software solutions to these problems using an object-oriented approach. Students will become sufficient in writing, executing, testing, and debugging programs in the Java programming language.

Statistics (L2)

Statistics

1 Credit
Course No. 292
Level 2
Trimesters: 2

Prerequisite: Algebra II Level 2 with a minimum grade of C- or Algebra II Level 3
with a minimum grade of A and teacher recommendation.

This two-trimester course provides students with a range of topics in both probability and statistics. Students learn how to collect and graph data, calculate and interpret linear regression, design experiments, sample, and compute probabilities. Students will also learn how to use sample statistics to infer conclusions about population parameters. Students must have a graphing calculator for home use.

Statistics (L3)

Statistics

0.5 Credit
Course No. 293
Level 3
Trimesters: 1

Prerequisite: Successful completion of Algebra II.

This one-trimester course provides students with an overview of statistics. Students learn how to collect and graph data, calculate and interpret linear regression, design experiments, and sample randomly. Graphing calculators will be provided for students to facilitate modeling and interpreting data.

Math for Business & Econ

Math for Business & Econ
1 credit
Course No. 295
(Mathematics for Business and Economics: MATH 1070Q) 3 UCONN Credits
Level 2
Trimesters: 2

Prerequisite: Algebra II Level 2 with a minimum grade of C- or Algebra II Level 3
with a minimum grade of A and teacher recommendation.

This elective course has been designed to extend the high school mathematics experience. Topics covered will include but not necessarily be limited to linear equations and inequalities, matrices, systems of linear equations, and linear programming; sets, counting, probability and statistics; mathematics of finance; applications to business and economics.

Only students who are registered in the UConn/ECE program for this course and earn a grade of C or better will receive UConn/ECE credit.

Mathematics Sequence of Courses

Math sequence of courses grade 8-12. Contact Guidance for ADA Assistance 203-245-6360