Mathematics (STEM)

PRE-ALGEBRA I - S1 & S2                                          Weight 1.00                  (5201A & 5201B)

            One Semester each       Credit 0.50 each

This course is open to students in Grades 9 and 10. The course will focus on the fundamentals of algebra, while connecting mathematical themes to the real world and to other subject areas. Emphasis will be placed on exploration and discovery of mathematical concepts while building understandings that provide a strong foundation for future courses. We study integer operations, order of operations, unit conversions, translating expressions and substitution, solving equations, and graphing.

ALGEBRA I - S1 & S2                                                  Weight 1.00                  (5302A & 5302B)

            One Semester each      Credit 0.50 each

This course is open to students in Grades 9, 10, 11, and 12. The course will focus on the fundamentals of algebra, while connecting mathematical themes to the real world and to other subject areas. Emphasis will be placed on exploration and discovery of mathematical concepts while building understandings that provide a strong foundation for future courses. We study systems of linear equations and exponential functions, equations and problem solving, solutions of inequalities; operations with polynomials; fractional equations; coordinate graphs of ordered pairs and linear equations; equations in two variables; quadratic equations; and through the use of scatter plots we develop data literacy.

GEOMETRY - S1 & S2                                                  Weight 1.00                  (5303A & 5303B)

            HONORS                                                          Weight 1.05                  (5401A & 5401B)

            One Semester each      Credit 0.50 each

This course is open to students in Grades 9, 10, 11, and 12. Prior successful completion of Algebra I S1 is required. This course incorporates plane, solid, and coordinate geometry. Study areas include: transformations; angles; parallel and perpendicular lines; congruent and similar figures; properties of triangles; quadrilaterals; ratio and proportions; right triangles and trigonometry; properties of circles; two- and three dimensional figures, and an introduction to probability and statistics.

MODELING IN MATHEMATICS                                    Weight 1.00                  (5313A & 5313B)

            One Semester each      Credit 0.50 each

This project-based course is open to students in Grades 10, 11, and 12.  Prior successful completion of Algebra I is required.  Study areas include: Linear Functions; quadratic functions; polynomials; and logarithmic and exponential functions.  Each concept will be learned through hands-on investigations.  Each unit will end with a final project.  Concepts are presented to align with the difficulty level of SAT questions.  A TI-83 or TI-84 calculator is recommended for this course.

ALGEBRA II - S1 & S2                                                 Weight 1.00                  (5304A & 5304B)

            HONORS                                                          Weight 1.05                  (5402A & 5402B)

One Semester each      Credit 0.50 each

This course is open to students in Grades 10, 11, and 12. Prior successful completion of Algebra I is required. Study areas include: operations with functions including composition of functions and inverse functions; quadratic functions and complex numbers; polynomials; rational functions; logarithmic and exponential functions; trig functions; inferential statistics; and matrices. Concepts are presented to align with the difficulty level of SAT questions. A TI-83 or TI-84 calculator is recommended for this course.

CONSUMER MATHEMATICS – S1 & S2                                                           (5206 & 5207)

One Semester each      Credit 0.50 each            Weight 1.00

These courses are primarily open to students in Grade 12. These courses are designed to assist students in making the transition to financial literacy in the 21st century. Topics will include: Income, Budgeting, Banking, Credit, Automobiles, Insurance, Income Tax, Home Care, Travel, and Vacation Planning. These courses stress student involvement in gathering financial information as well as the computational aspects of determining where one’s money goes.

ADVANCED MATHEMATICS – S1 & S2                                                            (5305 & 5306)

One Semester each      Credit 0.50 each            Weight 1.00

This course is open to students in Grades 11 and 12.  Prior successful completion of Algebra II is strongly advised. This course is NOT open to students who have successfully completed Precalculus I and/or Precalculus II.  The Advanced Math sequence is intended for the student who plans to study in the area of liberal arts at the college level and who wishes additional preparation in mathematics. Study areas include: relations and linear functions; quadratic functions; polynomial functions, rational functions, functions, exponential and logarithmic functions, trigonometric functions; modeling periodic behavior, trigonometric equations and their applications; trigonometric identities; and applications of the Law of Sines and the Law of Cosines.  Students are encouraged to select both semesters of this course.  A TI-83 or TI-84 graphing calculator is recommended, but not required.

PRECALCULUS – S1 & S2                                           Weight 1.00                  (5307 & 5308)

             ADVANCED PLACEMENT                              Weight 1.10                  (5504A & 5504B)

One Semester each       Credit 0.50 each

This course is primarily open to students in Grade 11 and Grade 12. Prior successful completion of Algebra II is required.   This is the fourth course in the sequence including Algebra I, Geometry, and Algebra II. It is designed to prepare students for the study of calculus or other college math courses. Study areas include: functions and notation for functions; algebra of functions; composition and inversion of functions; rational functions, exponential functions; logarithmic functions; trigonometric functions; solving triangles; trigonometric identities; trigonometric graphs; inverse trigonometric functions; applications of trigonometry, analytic geometry, lines, circles, and ellipses; hyperbolas; parabolas; conic sections; parametric equations and polar coordinates (honors level), binomial theorem; sequence and series; permutations and combinations; and probability..  A TI-83 or TI-84 graphing calculator is recommended for this course.  Students in the AP section are expected to take the Advanced Placement Examination in May.  Students are responsible for a return test fee if the course is dropped after exams are ordered.

PRECALCULUS – ECE S1 & S2                                                 (5707EA & 5507EB)

 Southern Connecticut State University Early College Experience credit*

            One Semester each                  Credit 0.50 each            Weight 1.10

This course is primarily open to students in Grade 11 and Grade 12. Prior successful completion of Algebra II is required.   This is the fourth course in the sequence including Algebra I, Geometry, and Algebra II. It is designed to prepare students for the study of calculus or other college math courses. Study areas include: functions and notation for functions; algebra of functions; composition and inversion of functions; rational functions, exponential functions; logarithmic functions; trigonometric functions; solving triangles; trigonometric identities; trigonometric graphs; inverse trigonometric functions; applications of trigonometry, analytic geometry, lines, circles, and ellipses; hyperbolas; parabolas; conic sections; parametric equations and polar coordinates (honors level), binomial theorem; sequence and series; permutations and combinations; and probability..  A TI-83 or TI-84 graphing calculator is recommended for this course.

*Students who successfully meet the expectations of the Early College Experience requirement will earn 4 college credits (MAT 122: Pre-Calculus) from Southern Connecticut State University.  Students are charged a fee per SCSU credit.

STATISTICS - S1 & S2                                                 

           ADVANCED PLACEMENT                              Weight 1.10                  (5503A & 5503B)

            One Semester each      Credit 0.50 each           

This course is open to students in Grades 11 & 12. Prior successful completion of Algebra II is required.  Students will learn about the major concepts and tools for collecting, analyzing, and drawing conclusions from data. They will develop analytical and critical thinking skills as they learn to describe data patterns and departures from patterns, plan and conduct studies, and use probability and simulation to explore random phenomena, estimate population parameters, test hypotheses, and make statistical inferences.  Statistics can be studied concurrently with Precalculus or Calculus, but is only advised for students seeking serious mathematical challenge. This course prepares students for the study of statistics required for many collegiate majors. A TI-83 or TI-84 calculator is required for this course. Students are expected to take the Advanced Placement Examination in May.  Students are responsible for a return test fee if the course is dropped after exams are ordered.

STATISTICS ECE– S1 & S2                                                                                          (5506EA & 5506EB)

Eastern Connecticut State University or University of Connecticut Early College Experience*

            One Semester each                  Credit 0.50 each            Weight 1.10

This course is open to students in Grades 11 & 12. Prior successful completion of Algebra II is required.  Students will learn about the major concepts and tools for collecting, analyzing, and drawing conclusions from data. They will develop analytical and critical thinking skills as they learn to describe data patterns and departures from patterns, plan and conduct studies, and use probability and simulation to explore random phenomena, estimate population parameters, test hypotheses, and make statistical inferences.  Statistics can be studied concurrently with Precalculus or Calculus, but is only advised for students seeking serious mathematical challenge.

*Students who successfully meet the expectations of the Early College Experience requirement will earn 4 college credits from Eastern Connecticut State University (MAT216 Statistical Data Analysis) or the University of Connecticut (STAT 1100Q Elementary Concepts of Statistics).  Billing is handled by Eastern/UCONN.

ADVANCED PLACEMENT CALCULUS AB - S1 & S2                                       (5501A & 5501B)

            One Semester each      Credit 0.50 each            Weight 1.10

This course is open to students in Grade 12. Prior successful completion of Precalculus is strongly advised. This course is intended for students who wish to pursue college level studies while still attending secondary school. It is designed to prepare students for the Advanced Placement Calculus AB examination.  Areas of study are elementary functions, differential calculus, and integral calculus, with the inclusion of all topics as suggested by the College Entrance Examination Board. All students taking the course will be expected to take the Advanced Placement examination in May. Students are responsible for a return test fee if the course is dropped after exams are ordered.

CALCULUS ECE – S1 & S2                                                                                          (5505EA & 5505EB)

Eastern Connecticut State University Early College Experience credit*

            One Semester each                  Credit 0.50 each            Weight 1.10

This course is open to students in Grade 11 and Grade 12.  Successful completion of Precalculus is strongly advised. This course is designed to prepare students for a rigorous two-semester Calculus course at the college level. Study areas include: review of functions; theory of limits; derivatives of polynomial and rational functions; implicit differentiation; applications of the derivative; mean value theorem; differential equations; definite integrals; fundamental theorem of integral calculus; application of the definite integral; differentiation and integration of transcendental functions; special methods of integration; and improper integrals.

*Students who successfully meet the expectations of the Early College Experience requirement will earn 4 college credits (MAT 243: Calculus I with Technology) from Eastern Connecticut State University.  Students are charged a fee per ECSU credit.  This fee will be collected at Rockville High School in September.

DISCRETE MATHEMATICS - ECE                                                                    (5502EA)

            University of Connecticut Early College Experience credit*

            One Semester               Credit 0.50                    Weight 1.10

Prior successful completion of one year of Precalculus is recommended. Topics covered in this class will be problem solving strategies, solutions of simultaneous linear equations, sequences, counting and probability, graph theory, deductive reasoning, the axiomatic method and finite geometries, and number systems.

*Students who successfully meet the expectations of the Early College Experience requirement will earn 3 college credits (MATH 1030Q: Elementary Discrete Mathematics) from the University of Connecticut. It cannot be taken concurrently with or after UCONN MATH 1131Q: Calculus I. Students are charged per UCONN credit plus a processing fee per course. Billing is handled by UCONN.

DISCRETE - LOGIC & THEORY                                                                        (5312)

            One Semester               Credit 0.50                    Weight 1.05

Logic and Theory will require students to continue implementing these practices by “making sense of problems and persevering while solving them” when they complete problems sets, “reasoning abstractly and quantitatively” through logic proofs, and “constructing viable arguments and critiquing the reasoning of others” through set and number theory.  The new information that will be learned in this course will help students learn and understand the more abstract concepts in mathematics.