Explore our Curriculum

Mathematics

The aim of the Middle School Mathematics curriculum at St. Luke’s is to establish a strong foundation in basic skills and concepts with an emphasis on problem solving and critical thinking. Courses introduce algebra and geometry by using creative activities that challenge and support the students to learn serious, substantive mathematics concepts while fostering confidence and enhancing their ability to be successful in future courses. Students explore relationships among numbers, variables, and real world applications.

The Upper School Mathematics curriculum is focused on building in our students the skill of communicating (reading, writing and speaking) in the language of mathematics, while being able to explain their thinking beyond simply supplying answers. Through studying applications of real-life situations, the consecutive courses promote awareness in our students that mathematics is a life skill, as much a part of their lives outside of the classroom as in the classroom.

We develop in our students a flexibility to select appropriate methods to accomplish their goals and to utilize the proper tools for the task at hand. Access to technology is important. Computers and calculators are integral parts of the mathematics curriculum. Throughout their studies, students are expected to use estimation, mental math and pencil and paper to verify the work of the calculators. Our students’ mathematical knowledge and ability to use that knowledge in a variety of problem-solving settings increase by involving critical thinking skills that include deduction, inference, and conjectures. When possible, mathematical ideas are presented to foster an appreciation for the historical context in which they were formed, so as to encourage students to appreciate the place and beauty of mathematics in our civilization and culture in a personal and empowering way. All Upper School courses provide informal preparation for standardized tests by teaching the essential concepts that are covered on the math sections of these exams.

For extra academic support, the Upper School Math Lab is a math learning environment where Upper School students can come during free periods or be assigned by their teacher to attend. Teachers from the Math Department cover a specific period during the school day and are available for help during that time. In the Math Lab, teachers work closely with students to help them with homework, provide support for quizzes and tests, and manage the day-to-day needs of the Math Lab. Students frequently report that their time in the Math Lab is well spent and appreciate the extra time working with a Math Teacher to answer their questions.
  • Math 5

    Our fifth-grade math curriculum is designed to build essential math skills that students will use throughout their lives. It strengthens their understanding of number sense, place value, and estimation while reinforcing fluency with all four operations involving whole numbers, fractions, and decimals. Students develop efficient problem-solving strategies, deepen their algebraic thinking through patterns, variables, and equations, and explore higher-level concepts that promote critical thinking. By blending skill mastery with real-world application, our curriculum lays a strong mathematical foundation for future success.

  • Math 6

    The aim of the Math 6 course is for students to master whole number, decimal, and fraction operations as well as to utilize those skills in a variety of practical applications. Proportional reasoning is stressed as students explore the concept of percents. Students are introduced to the use of variables and simple equations as a means of problem solving. Emphasis is placed on estimation, critical thinking, practical problem solving, real-world application and interdisciplinary connections, with an introduction to basic algebra concepts throughout each lesson.

  • Pre-Algebra 6

    This course is designed to prepare students for the formal study of algebra and geometry. Students master operations with integers, proportions, and percent. Data analysis, solving equations, simplifying expressions, and using exponents are explored. The skill of reading critically, both to introduce and reinforce mathematical ideas, is emphasized. The course concludes with an introduction to linear equations and a study of basic geometric concepts.

  • Pre-Algebra 7

    This course is designed to prepare students for the formal study of algebra and geometry. Students master operations with integers, proportions, and percent. Data analysis, solving equations, simplifying expressions, and using exponents are explored. The skill of reading critically, both to introduce and reinforce mathematical ideas, is emphasized. The course concludes with an introduction to linear equations and a study of basic geometric concepts.

  • Math 7

    In this course, students will extend and apply many of the concepts they've learned to discover new types of relationships and new and efficient ways to solve problems. Students will learn and review ratios, decimals, percent, and operations with real numbers. Students then will apply those concepts to algebraic expressions and equations—from simple to multi-step—and will also examine word problems. Students will also explore proportional relationships through multiple representations and contexts. Students should expect a mix of discovery and practice, with an emphasis on real-world applications, critical thinking, and problem-solving. The course will have a cumulative component, focusing on topics throughout the year with different methods of review and assessment.

  • Math 7A

    In this course, students will extend and apply many of the concepts they've learned to discover new types of relationships and new and efficient ways to solve problems. Students will learn and review ratios, decimals, percent, and operations with real numbers. Students then will apply those concepts to algebraic expressions and equations—from simple to multi-step—and will also examine word problems. Students will also explore proportional relationships through multiple representations and contexts. Students should expect a mix of discovery and practice, with an emphasis on real-world applications, critical thinking, and problem-solving. The course will have a cumulative component, focusing on topics throughout the year with different methods of review and assessment. Students in this course will cover all topics in Math 7 at a more rigorous pace, with a greater emphasis on problem solving. They also will delve into more complicated problem-solving techniques and additional topics of functions and systems of equations.

  • Algebra 7

    Algebra 7 is a complete algebra course including factoring, quadratics, and algebraic fractions. There is an emphasis on problem-solving. Students in the course gain a deep conceptual understanding of the core skills of algebra, including solving equations and inequalities (including absolute value), ratio, proportion, and percent. Additionally, students will dig deep into operations of polynomials, properties of rational expressions, exponents, roots, solving systems of equations, and quadratic equations. There is an emphasis on solving and using linear equations and inequalities in context, factoring, and graphing of linear and nonlinear functions.

  • Linear Topics in Algebra

    This is a course for eighth graders that will cover the first half of a traditional Algebra class. It is part of a three-year sequence that will include Integrated Algebra and Geometry in the Upper School. Students in the course gain a solid understanding of the fundamentals of algebra, including solving equations and inequalities, ratio, and proportion and percent. Additionally, students will learn to use the basic algebraic operations of monomials, properties of rational expressions, exponents, and roots. The emphasis will be on solving and using linear equations and inequalities, simple factoring, and graphing of linear functions. A major focus on computations and calculations also will be covered.

  • Math 8

    This course is the continuation of the two-year sequence which begins in Math 7. Concepts will be seamlessly integrated through the study of basic algebraic concepts by first reviewing the properties and applications of simplifying expressions and solving equations. The class will focus heavily on linear functions, solving systems of equations, inequalities, and quadratic functions. An in-depth study of computing and factoring polynomials will be applied to simplifying rational expressions and solving functions. Problem solving, understanding the connection to the real world, and abstract thinking will be emphasized. Cumulative review and the use of technology, including graphic calculators, are consistently integrated into this course.

  • Math 8A

    This course is the continuation of the two-year sequence which begins in Math 7. Concepts will be seamlessly integrated through the study of basic algebraic concepts by first reviewing the properties and applications of simplifying expressions and solving equations. The class will focus heavily on linear functions, solving systems of equations, inequalities, and quadratic functions. An in-depth study of computing and factoring polynomials will be applied to simplifying rational expressions and solving functions. Problem solving, understanding the connection to the real world, and abstract thinking will be emphasized. Cumulative review and the use of technology, including graphic calculators, are consistently integrated into this course. The course will cover all concepts noted in Math 8 at a faster pace. Students in this course also will delve into more complicated problem-solving techniques and additional topics with functions and geometric applications.

  • Geometry MS

    Geometry MS is a traditional course for developing one’s reasoning ability by studying patterns in two and three dimensions. Students are encouraged to form and verify conjectures about relationships through formal proof. Students will continue their study of algebra through the lens of geometry, helping them see how the two disciplines of math are intertwined. This course includes coordinates, transformations, measurement, area and volume, congruence and similarity, logic, trigonometry, properties of symmetry, and circles.

Department Faculty

  • Photo of Laura Flanagan
    Laura Flanagan
    Mathematics
    Middle School Math Department Chair
    (203) 801-4808
    2024
  • Photo of Cali Touloumes
    Cali Touloumes
    Mathematics
    Upper School Math Teacher, Math Department Chair
    203-801-4843
    2022
  • Photo of James Blau
    Jay David Blau
    Fine Arts, Mathematics
    Middle School Math Teacher
    (203) 801-4941
    2015
  • Photo of William Bludgus
    Dr. Billy Bludgus
    Mathematics, Administration, Leadership Studies
    Head of Upper School
    (203)-801-4988
    University of San Francisco - Ed.D.
    Barry University - M.B.A.
    Fordham University - M.S.Ed.
    University of Miami - B.S.
    2023
  • Photo of David Burnham
    Dave H Burnham
    Mathematics
    Upper School Math Teacher
    (203) 801-4864
    St. Lawrence University - M.A.
    St. Lawrence University - B.S.
    2018
  • Photo of Brinley Ehlers
    Brinley F. Ford Ehlers
    Mathematics
    Middle School Math Teacher
    (203) 801-4877
    American University - B.A.
    Lesley College - M.Ed.
    1995
    Bio
  • Photo of Susan Garnett
    Susan Hunter Garnett '06
    Mathematics
    Middle School Math Teacher
    (203) 801-4845
    St. Lawrence - B.S.
    2011
  • Photo of Alvin Hamilton
    Alvin Hamilton
    Mathematics
    Upper School Math Teacher
    (203) 801-4837
    University of Pennsylvania - B.A.
    2015
    Bio
  • Klay Johnson
    Mathematics, Admission
    Upper School Math Teacher
    2025
  • Photo of Ryan Kohl
    Ryan Kohl
    Mathematics
    Upper School Math Teacher
    (203) 801-4881
    2021
  • Ileini Melendez
    Mathematics
    Middle School Math Teacher
    2025
  • Photo of Isabella Santos
    Bella Santos
    Mathematics
    Upper School Math Teacher
    (203) 801-4924
    2019
  • Suzanne M. Sherter
    Mathematics
    Part-Time Upper School Math Teacher
    Bucknell University - B.A.
    Fairfield University - M.A.
    2025
  • Photo of Corliss Spencer
    Corliss Spencer
    Mathematics
    Upper School Math Teacher
    (203) 801-4880
    Columbia University - B.S.
    Columbia University - M.S.
    2007
    Bio
  • Photo of Melissa Zurkowski
    Melissa Zurkowski
    Mathematics, Leadership Studies
    Middle School Math Teacher
    (203) 801-4868
    Trinity Catholic High School
    Manhattanville College, University of Bridgeport
    Trinity Catholic High School
    Manhattanville College - B.A.
    University of Bridgeport - M.S.
    2006
St. Luke’s School is a secular (non-religious), private school in New Canaan, CT for grades 5 through 12 serving over 40 towns in Connecticut and New York. Our exceptional academics and diverse co-educational community foster students’ intellectual and ethical development and prepare them for top colleges. St. Luke’s Leading with Humanity curriculum builds the commitment to serve and the confidence to lead.