The Old Saybrook High School Mathematics Department recognizes that all students must have understanding, confidence and interest in mathematics to meet the needs and challenges of a global society. All students must be mathematically literate to make informed decisions about the world around them and ensure success in post-secondary study and work. An individual who is mathematically literate has an understanding of the big ideas of algebra, geometry, probability, and statistics; is able to compute, reason and communicate mathematically, both verbally and in writing. When solving problems it is essential for students to utilize a variety of strategies, tools and technology to solve mathematics problems; and develop an understanding of the application of mathematics and how that connects to daily life. The Common Core State Standards of Mathematical Practices are integrated throughout all math courses offered at the high school.
• Make sense of problems and persevere in solving them
• Reason abstractly and quantitatively
• Construct viable arguments and critique the reasoning of others
• Model with mathematics
• Use appropriate tools strategically
• Attend to precision
• Look for and make use of structure
• Look for and express regularity in repeated reasoning
When selecting mathematics courses for the next year, be sure to consider the following:
● Some courses have prerequisites, which means those courses are required for
enrollment.
● Honors and AP Classes will move at a faster pace and will have additional time
commitments with coursework and homework that require a greater depth of analysis
and complexity.
● Each student’s current mathematics teacher will review what can be expected in math
courses that follow when it comes time for course selection.
Students are encouraged to enroll in the most challenging level of math course that they can handle successfully. Students of high capability and seriousness of purpose may be given opportunities to take both Geometry and Algebra 2 in the same grade, and/or taking Pre-Calculus and AP Statistics in the same grade with recommendation of the Mathematics Department.
When enrolled in high school, students are required to earn three (3) credits in math. The math department encourages students to take four (4) or more classes in mathematics.
*The following courses offered outside the Mathematics Department may be used in partial fulfillment of the math graduation requirement. Accounting 1 and Accounting 2
Careers/jobs found in the mathematics field include but are not limited to:
Accounting
Actuary
Architect
Astronaut
Business Manager
Computer Science
Engineer
Financial Planner
Geographic Information
Statistician
Systems (GIS) Analyst
Tax Consultant
Teacher/Professor
ALGEBRA 1
Grades: 9, 10 Level: CP Credit: 1.0
The Algebra 1 curriculum encourages the problem-solving skills students need to better understand the real world and builds the mathematical foundation needed for the study of geometry and advanced algebra topics. Students learn by doing math, solving problems in mathematical and real-world contexts by constructing arguments using precise language. This course will include a study of linear equations, inequalities, systems, and exponential functions, one and two-variable statistics, an introduction to exponential and quadratic functions, and quadratic equations. Modeling with technology will be an integral part of this course.
ALGEBRA 2
Grades: 9, 10, 11, 12 Level: CP & H Credit: 1.0
Prerequisite – Algebra 1 (For Honors: target average of 85 in Algebra 1 and Honors Geometry)
This course extends the content of Algebra 1 and provides further development of the concept of a function. Topics include functions, systems of equations and inequalities; quadratics; polynomials; algebraic fractions; logarithmic and exponential functions. Algebra 1 skills are utilized extensively in this course to prepare students for further work in Pre-Calculus. A graphing calculator will be necessary for students in this course.
AP CALCULUS AB
Grades: 11, 12 Level: AP Credit: 1.0
Prerequisite – Pre-Calculus Honors (target average of 85 in Algebra 1, Honors Geometry, Honors Algebra 2, and Honors Pre-Calculus)
The Advanced Placement Program is a one-year course designed to prepare students for intermediate and advanced college courses by making demands upon them equivalent to those of full-year introductory college courses. This course is designed to introduce the advanced secondary student to both differential and integral calculus. Topics include the following: limits, continuity, and application of derivatives and integrals. The content of this course is rigorous and students may be required to successfully complete preparation work during the summer prior to the start of the academic year. Since calculus is a prerequisite to further studies in most branches of mathematics as well as in economics, science and engineering, qualified students are encouraged to elect this course in their senior year. A graphing calculator is essential to a full understanding of topics in this course.
**Students are required to take the AP test administered in the spring, with a $95 fee for the test.
AP CALCULUS BC
Grades: 11, 12 Level: AP Credit: 1.0
Prerequisite – AP Calculus AB
The Advanced Placement Program is a one-year course designed to prepare students for intermediate and advanced college courses by making demands upon them equivalent to those of full-year introductory college courses. Calculus BC is an elective for students who have completed Calculus AB and wish to continue their mathematics education at high school and are capable of and motivated to do college-level work. This course will review and extend topics covered in Calculus AB. Additional topics covered include parametric, polar, and vector functions; application of derivatives including Euler’s method and L’Hopital’s rule; integration by parts and simple partial fractions; logistic differential equations; polynomial approximations and series (including geometric and harmonic series); and Taylor and McLaurin series. The content of this course is rigorous and students may be required to successfully complete preparation work during the summer prior to the start of the academic year. Use of a graphing calculator is essential to the full understanding of topics in this course.
**Students are required to take the AP test administered in the spring. The content of Calculus BC is designed to qualify students for placement and credit beyond that granted for Calculus AB. There is a $95 fee for this test.
AP/UCONN ECE STATISTICS
Grades: 11, 12 Level: AP/ECE Credit: 1.0
Prerequisite – Algebra 2
The goal of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data and to provide students with an opportunity to earn advanced placement and/or college credit in mathematics. Standard and nonparametric approaches to statistical analysis; exploratory data analysis, elementary probability, sampling distributions, estimation and hypothesis testing, one- and two-sample procedures, regression and correlation are covered. This course requires students to think about designs of studies which produce the data they are analyzing and to consider the possible effect of outlying observations on their conclusions. The content of this course is rigorous and students may be required to successfully complete preparation work during the summer prior to the start of the academic year.
UConn Early College Experience (ECE) provides academically motivated students with the opportunity to take university courses while still in high school. These challenging courses allow students to preview college work, build confidence in their readiness for college, and earn college credits that provide both an academic and a financial head start on a college degree. Learning to do statistical analysis on a personal computer is an integral part of the courseStudents who earn a grade of C or better in the course will receive 4 UConn credit hours in ECE Statistics 1100Q.
UConn ECE instructors, who are high school teachers certified as adjunct professors by UConn faculty, create a classroom environment fostering independent learning, creativity and critical thinking – all pivotal for success in college. To support rigorous learning, University of Connecticut library resources are available to all UConn ECE students. UConn ECE students must successfully complete the course with a grade of C or above in order to receive University credit. University credits are highly transferable to other colleges and universities.
Course registration occurs in October. Students are charged a $125 course fee payable to the University of Connecticut. Billing is direct from the university and no money is collected by OSHS. For additional program information visit: www.ece.uconn.edu.
This course also closely aligns to the National AP Statistics curriculum and students have the option to take this class as an Advanced Placement course. The Advanced Placement Program is a one-year course designed to prepare students for intermediate and advanced college courses by making demands upon them equivalent to those of full-year introductory college courses. Students who wish to earn Advanced Placement credit for this course will be required to take the Advanced Placement exam in the spring. There is a fee for this test.
*A graphing calculator is required for this course.
*Please note that there is a fee set by the College Board for students taking this course. Students are required to take the AP test administered in the spring, with a $95 fee for the test.
GEOMETRY
Grades: 9, 10, 11 Level: CP & H Credit: 1.0
Prerequisite – Algebra 1 (For Honors: target average of 85 in Algebra 1)
The Geometry curriculum includes the study of plane geometry and solid geometry, blended throughout the course. The development of understanding and skill in deductive reasoning, growth in ability to visualize plane and solid figures, and appreciation of the role of induction, conjecture and discovery are key objectives of the course. Students start with practice generating conjectures and observations and build up to formal proof, engaging in a cycle of formal conjecture. Students use transformation-based definitions of congruence and similarity, allowing them to rigorously prove the triangle congruence and similarity theorems. They apply these theorems to prove results about quadrilaterals, isosceles triangles, and other figures. Next, students derive volume formulas and study the effect of dilation on both area and volume. Students analyze relationships between segments and angles in circles and develop the concept of radian measure for angles, which will be built upon in subsequent courses. Finally, students connect ideas from algebra and geometry through coordinate geometry, reviewing theorems and skills from prior units using the structure of the coordinate plane. Within the classroom activities, students have opportunities to engage in aspects of mathematical modeling.
PRE-CALCULUS CP
Grades: 10, 11, 12 Level: CP Credit: 1.0
Prerequisite - Algebra 2
In this course, students will extend their understanding of functions with a deeper focus on polynomial, rational, exponential, logarithmic, polynomial, and trigonometric functions. This course includes an introduction to statistics, covering the concepts and tools for collecting, analyzing, and drawing conclusions from data. A graphing calculator will be necessary for students in this course. This course provides a strong foundation for continued study of mathematics at the college level. This course provides a strong foundation for continued study of mathematics at the college level.
PRE-CALCULUS HONORS
Grades: 10, 11, 12 Level: H Credit: 1.0
Prerequisite – Algebra 2 (target average of 85 in Algebra 1, Honors Geometry and Algebra 2 Honors)
Students taking this course have completed Algebra 1, Geometry Honors, and Algebra 2 Honors. This demanding course prepares students for Calculus and therefore moves at a fast pace, covering topics in depth. Students should be comfortable with spending significant time outside of a class working on math questions and reviewing material. In this course, students will review and extend their knowledge of polynomial, rational, exponential, and logarithmic functions as well as in depth study of trigonometric and circular functions. A graphing calculator will be necessary for students in this course. Pre-calculus Honors is recommended for students planning to take a course in calculus.
SRBI NUMERACY
Grades: 9, 10, 11, 12 Credit: Varies
Prerequisite – Teacher Recommendation based on classwork, demonstration of understanding and/or district/building common formative assessment results.
In addition to math class, this course offers explicit skill building in mathematics based on individual student needs. Students work in a small group setting to fill gaps in understanding and build skills necessary for success in Algebra I, and Geometry. This support course also includes skill building towards success on standardized tests. Students earn credit for this course based on the amount of time they are enrolled but this course does not go towards fulfilling graduation requirements in mathematics.
UCONN ECE MATH FOR BUSINESS AND ECONOMICS
Grades: 11,12 Level: ECE Credit: 1.0
Prerequisite – Algebra 2
This course is tailored for students with interest in business, economics, and finance related fields and will provide a mathematical foundation for success in their professional endeavors. Students will delve into the core of mathematical principles and their applications to the field of business and economics; integrating key topics such as linear equations and inequalities, matrices, systems of linear equations, and linear programming; sets, counting, probability and statistics; mathematics of finance, and applications of business and economics. A graphing calculator is recommended for this course.
UConn Early College Experience (ECE) provides academically motivated students with the opportunity to take university courses while still in high school. These challenging courses allow students to preview college work, build confidence in their readiness for college, and earn college credits that provide both an academic and a financial head start on a college degree. Students who earn a grade of C or better in the course will receive 3 UConn credit hours in ECE 1070Q- Math for Business and Economics.
UConn ECE instructors, who are high school teachers certified as adjunct professors by UConn faculty, create a classroom environment fostering independent learning, creativity and critical thinking – all pivotal for success in college. To support rigorous learning, University of Connecticut library resources are available to all UConn ECE students. UConn ECE students must successfully complete the course with a grade of C or above in order to receive University credit. University credits are highly transferable to other colleges and universities.
Course registration occurs in October. Students are charged a $125 course fee payable to the University of Connecticut. Billing is direct from the university and no money is collected by OSHS. For additional program information visit: www.ece.uconn.edu.