Mathematics

The Mathematics Department requires all students to take four years of mathematics. Students who take Algebra I or Honors Algebra I as freshmen and Geometry as Sophomores have the opportunity to take Calculus on the Honors or AP level as seniors if they meet the criteria for enrollment in a course entitled Honors Algebra II/Pre-Calculus as juniors. Another option is Algebra I, Geometry, Algebra II and Pre-Calculus on the Honors or Standard level. Also, any student who places into Geometry or Honors Geometry as a freshman may also take Honors Algebra II/Pre-Calculus as a sophomore if she meets the criteria for enrollment. The use of the graphing calculator and a variety of computer programs in math is an essential component of each course. Upon enrollment, all freshman will be required to have a TI84+ Graphing Calculator which they will use for all their math and science classes.

515algI Algebra I
GR 9 | QP 4.33 | 1 CREDIT | YEAR
This course covers the real number system, polynomials, inequalities, functions and their graphs, linear equations and systems, problem solving, and initial concepts of quadratic equations.

517alg IH Honors Algebra I
GR 9 | QP 4.67 | 1 CREDIT | YEAR
This course covers the same topics as Algebra I (515), but problems of a higher difficulty level are presented as well as theoretical explanations of greater depth.
Prerequisite: Student must be invited to enroll in this course based on results from the Mathematics Placement Exam administered in May before freshman year.

524geom Geometry
GR 10 | QP 4.33 | 1 CREDIT | YEAR
This course is an axiomatic approach to the Euclidean geometry. Logical reasoning is used to explore the relationships between lines, planes, triangles, and polygons. Trigonometry, coordinated geometry and exploration of solid figures are also studied; theory and application are equally considered. The course has a strong integration with Algebra I.
Prerequisite: Algebra I (515 or 517)

527geomH Honors Geometry
GR 9-10 | QP 4.67 | 1 CREDIT | YEAR
This course is an in-depth axiomatic approach to Euclidean geometry. Topics include parallel lines and planes, triangles, polygons, circles, trigonometry, constructions, solid figures, and coordinate geometry. Abstract reasoning is developed in an advanced use of theory and application.
Prerequisite: [3.67 in Algebra I (515/517) and (B+ on all SHA midterm and final exams in 515/517 or departmental approval)] OR Student may be invited to enroll in this course based on results from the Mathematics Placement Exam administered in May before freshman year.

534algII Algebra II
GR 10-11 | QP 4.33 | 1 CREDIT | YEAR
This course stresses the structure of Algebra and the development of computational and problem-solving skills. Topics include a review of Algebra I, the real number system and its properties, complex numbers, polynomial and rational expressions, functions and relations. A theoretical approach is used with emphasis given to the application of theorems and formulas.
Prerequisite: Algebra I (515 or 517) and Geometry (524 or 527)

537algIIH Honors Algebra II
GR 10-11 | QP 4.67 | 1 CREDIT | YEAR
This course stresses the structure of Algebra and the development of computational and problem-solving skills. Topics include a brief review of Algebra I, the real number system and its properties, functions and relations, systems of linear equations in three variables, complex numbers, polynomials, and rational expressions. An in-depth theoretical approach is used and emphasis is given to the application of theorems and formulas.
Prerequisite: [3.67 in Algebra I (515/517) and 3.67 on the final exam in 515/517in Grade 9 and 3.33 in Geometry (524 or 527) in Grade 10] OR 3.67 in Honors Geometry (527) in Grade 9

539 algIIpcH Honors Algebra II/ Pre-Calculus
GR 10-11 | QP 4.67 | 1 CREDIT | YEAR
This course is designed to allow freshman and sophomores currently in Geometry or Honors Geometry to enroll in Calculus, AP Calculus and any other advanced math class as juniors and seniors. Sophomores who studied Algebra I or Honors Algebra I as freshmen may enroll in this class to prepare for Calculus or AP Calculus as seniors. Present freshman Geometry students may enroll in this class as sophomores to prepare for Honors Calculus as juniors and BC Calculus as seniors. The focus of this course is an extensive and in-depth study of functional analysis, mathematical analysis and analytical geometry. This integration of Algebra II, trigonometry and functional analysis intends to broaden the students’ mathematical background and provide the mathematics needed for success in Calculus. Graphing calculators will be used for graphical investigations and explorations hence a TI83+ or TI84+ graphing calculator is required.
Prerequisite: [4.0 in Algebra I (515 or 517) in Grade 9 and 4.33 in Geometry (524 or 527) in Grade 10] OR 4.33 in Honors Geometry (527) in Grade 9. In addition, all enrolled students must have an A exam average in Algebra and Geometry courses at SHA or departmental approval.

542func Functions, Statistics and Trigonometry
GR 11-12 | QP 4.33 | 1 CREDIT | YEAR
This course serves either as a transition between Algebra II and Pre-Calculus (546) or as the final course in the math sequence. This course integrates work with functions and trigonometry to introduce the student to the topics in Pre-Calculus (546). It also challenges the student to think mathematically. The Statistics part of the curriculum is done with the technology available at Sacred Heart Academy: the laptops, the internet and the graphing calculator will be utilized to complete this section of the course. The use of functions and statistics to model real world situations is a major theme, and will provide the students with the tools to see how seemingly abstract mathematical ideas are meaningful in the world around them. Required: TI83+ or TI84+ Graphing Calculator.
Prerequisite: Algebra II (534 or 537)

544statAP AP Statistics (Advanced Placement)
GR 11-12 | QP 5.0 | 1 CREDIT | YEAR
Collecting, representing and processing data are activities of major importance to contemporary society. Topics covered in this course include the description and analysis of population distributions, change and growth of data, correlation, experiment design, probability models, linear regression, hypothesis testing and confidence intervals.
Graphing calculators and computers are used as tools for the facilitation of statistical tests on significant bodies of data. Advanced Placement Statistics acquaints students with the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Ideas and computations presented in this course have immediate links and connections with actual events. Computers and calculators will allow students to focus deeply on the concepts involved in statistics. The TI83+ or TI84+ calculator is required and is used as the technical tool to allow the student to calculate any tests or data required. AP exam fee applies.
Prerequisite: 4.0 in 534, 3.67 in 537 or 3.33 in 539. In addition, all enrolled students must have an A- exam average in Algebra II OR departmental approval.

123engnrg Introduction to Engineering
GR 11-12 | QP 4.33 | ½ CREDIT | SEM 1 OR 2
This course focuses on the fundamentals of modern engineering and technology. Students explore the engineering design process as they learn and apply math and science concepts to design and test an array of high-tech digital devices. The course will show students how engineers use advanced development tools in everyday engineering work: Designing, developing, testing, debugging, and finally producing a finished product that works.
Prerequisite: 3.67 in Algebra II (534, 537, or 539)
Note: This course may be used to fulfill the science or math graduation requirement.

545finance Personal Finance
GR 11-12 | QP 4.33 | ½ CREDIT | SEM 1 OR 2
This course explores the mathematics of personal and business matters with an emphasis on rational decision making. Topics in personal finance include analyzing budgets, banking, insurance, credit, taxes, real estate and investments. Students research a range of investment opportunities and financial instruments from a variety of sources including the Internet. Book fee applies.
Note: This course counts toward the four-credit math requirement.

546precalc Pre-Calculus
GR 11-12 | QP 4.33 | 1 CREDIT | YEAR
This course covers the advanced techniques of Algebra as well as the integration of functional analysis, analytic geometry and trigonometry. The trigonometric functions are thoroughly presented, including graphing, solving identities, and applications. This course also includes an introduction to probability and counting problems. Technology allows the focus of the course to be on functional investigations and exploration. Heavy emphasis is on the use of the overhead graphing calculator-projector and digital lesson investigations with the Smart Board. Since this course includes in-depth use of hand-held graphing calculators, the TI83+ or TI84+ graphing calculator is required.
Prerequisite: 2.67 in Algebra II (534, 537, or 539)
Note: Students taking this course may qualify for Honors Calculus (590) or AP Calculus AB (593).

547precalcH Honors Pre-Calculus ECE (UCONN ECE MATH 1030Q)
GR 11-12 | QP 4.67 | 1 CREDIT | YEAR
UCONN COURSE 1030Q: 3 Spring college credits
This course is an integration of an intensive study of trigonometry, geometry, and advanced algebra intended to broaden the student’s mathematical background prior to the study of calculus. This course also includes an introduction to Discrete Mathematics. The three fundamental areas of functional analysis, mathematical analysis and analytic geometry are investigated in depth through the use of a myriad of technological aids such as the overhead graphing calculator, the Smart Board and digital lessons. Each student is required to have either a TI83+ or TI84+ graphing calculator since extensive use of graphing technology is incorporated as an investigative tool.
Prerequisite: 4.0 in Honors Algebra II (537) AND A- exam average in 537 or departmental approval. There is an ECE change fee if a qualified student requests to be added in June.
Note: All students enrolled in this course will have mandatory Spring concurrent enrollment in the University of Connecticut Early College Experience Program that allows students to earn 3 college credits. UConn will bill students separately for UConn ECE tuition in the Spring.

549stat Introduction to Statistics
GR 11-12 | QP 4.33 | 1 CREDIT | YEAR
The importance of Statistics in both academic and personal settings has grown at a tremendous rate recently. Intro to Statistics is designed to introduce fundamental statistical knowledge that students will be able to use in college and throughout their lives. Statistics is currently taken by over 85% of all undergraduates at the university level. Topics covered in this course include; data collection, regression, probability, sampling distributions, and inference. The student who successfully completes this course will have the tools for collecting, analyzing, and interpreting data in academic settings and her everyday life. Required: TI83+ or TI84+ Graphing Calculator.
Prerequisite: Algebra II (534 or 537)

590calc Honors Calculus
GR 11-12| QP 4.67 | 1 CREDIT | YEAR
This course is designed for students who want to have preparation for and experience with calculus especially those planning to enter fields of medicine, nursing, business, economics, management, and the social sciences. It focuses on the development of conceptual understanding of real-life situations involving change so the material is data driven and technology based. Topics include functions and linear models, non-linear models, rates of change, derivatives, analysis of change, limits and integration. Extensive use of graphing technology is incorporated hence a TI83+ or TI84+ graphing calculator is required. Overhead graphing-calculator projectors, the Smart Board and digital lessons via the projector are used in most classes.
Prerequisite: [4.0 in 546, 3.67 in 547 or 3.33 in 539] AND [For 546: 4.0 average on exams or departmental approval; For 539/547: 3.0 average on exams or departmental approval]. Students who are interested in taking Honors Calculus and exceed the exam average component but fall just short of the overall average required may be eligible subject to departmental approval. These cases will be considered on an individual basis and students should approach the respective teachers well in advance.

593calcAP AP Calculus AB (Advanced Placement and UCONN ECE MATH 1131)
GR 11-12 | QP 5.0 | 1 CREDIT | YEAR
UCONN COURSE MATH 1131: 4 Fall college credits
This course provides an intuitive understanding of the concepts of calculus, and experience with its applications and methodology. Course content generally follows the AP syllabus for Calculus AB, which is more extensive, and of greater breadth and depth than the 590 Calculus curriculum. UCONN will grant 4 college credits for all the Calculus covered in the first semester. This two semester course includes the study of elementary functions, limits, the derivative and its applications, and integral Calculus including anti derivatives and their applications. Overhead graphing calculators, the Smart Board and digital lessons are used in most classes. The TI83+ or TI84+ graphing calculator is required. This challenging course is meant only for the serious math student. AP exam fee applies.
Prerequisite: [4.0 in 539/547 or 4.33 in 546] AND [For 546: 4.0 on the midterm and final exams or departmental approval; For 539/547: 3.33 average on exams]. There is an ECE change fee if a qualified student requests to be added in June.
Note: All students enrolled in this course will have mandatory concurrent enrollment in the University of Connecticut Early College Experience Program that allows students to earn 4 college credits. UConn will bill students separately for UConn ECE tuition in the Fall only.

594calcAP AP Calculus BC (Advanced Placement)
GR 12 | QP 5.0 | 1 CREDIT | YEAR
Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both the AB and BC courses represent college-level mathematics for which most colleges grant advanced placement and college credits. The Calculus BC exam has a Calculus AB sub-score so the students enrolled in this class will be receiving two AP scores. The content of Calculus BC is designed to qualify the student for college placement and credit in Calculus II, which is one course beyond that granted for Calculus AB. AP exam fee applies.
Prerequisite: [A- on the midterm exam in 590/593 or departmental approval] AND [4.33 in 590 or 4.0 in 593].

191compsciH Honors Computer Science
GR 10-12 | QP 4.67 | ½ CREDIT | SEM 1 OR 2
In today’s innovation-driven economy, complex problem solving and analytical reasoning skills are important for building a foundation for numerous careers, including jobs in math, science, engineering, and technology-related fields. This course provides an introduction to the intellectual enterprises of computer science and the art of programming. This course teaches students how to think algorithmically and solve problems efficiently. Students will be able to design and implement computer-based solutions to problems in several application areas, including mobile apps for Android and iOS (for iPhones, iPod touches, and iPads), two of today’s most popular platforms; to learn well-known algorithms and data structures; to develop and select appropriate algorithms and data structures to solve problems; and to code in a well-structured fashion.
Prerequisite: Geometry; 3.67 in a previous full-year math class, including an A- or higher on the final exam.
Note: This course counts toward the four-credit math requirement.

550mathsat SAT Math Review
GR 11 | QP 4.33 | ½ CREDIT | SEM 2
This course provides juniors with the opportunity to prepare for the math section of the early spring SAT and the advanced math topics in the Subject tests SAT-I and SAT-II administered in early June. In this course, students are introduced to the content and format of the standardized test, learn fundamental test-taking strategies and are provided with ample opportunity to implement these strategies by taking multiple practice tests and correction tests. This course will provide test taking strategies for multiple choice problems and open answer questions, as well as TI 84+ and TI83 calculator tips for successful time management. The four major topics covered in this course are: Numbers and Operations, Algebra and Functions, Geometry and Measurement, and Data Analysis, Statistics and Probability. Each unit of study includes comprehensive instruction on the given topic, followed by guided practice and, finally, individual completion of timed practice tests.
Note: This course counts toward the 27-credit graduation requirement. However, this course does not count toward the four-credit math requirement.