In this course students explore geometric principles and use algebra as a tool to guide their investigations.  They solve diverse context-based problems using both algebraic and proof-based approaches. Students study coordinate geometry, properties of polygons, similarity, and right triangle trigonometry.  Learning how to write formal proofs is an important component of the course.  Students will improve their fluency in solving systems of equations and simplifying radicals. 

Prerequisite: Algebra I

5 periods per cycle

Grade 9

In this course students explore geometric principles and use algebra as a tool to guide their investigations.  They solve diverse context-based problems using both algebraic and proof-based approaches. Students study coordinate geometry, properties of polygons, similarity, and right triangle trigonometry.  Learning how to write formal proofs is an important component of the course.  The honors students consider more challenging problems throughout the course, often with a greater level of abstraction and at an accelerated pace than the non-honors course.

Prerequisite: Algebra I and permission of the department head required.

5 periods per cycle

Grade 9

In this course, students continue their study of geometry, exploring 2D and 3D geometry and properties of functions. The course starts by reviewing essential algebra skills while looking at the properties of functions, including absolute value, quadratics, square roots, and trigonometric functions. Functions are compared, graphed, transformed, used to solve real-life problems, and considered from geometric and algebraic lenses. Students will build on their knowledge of 2-Dimensional shapes as they study properties of circles and use triangles to solve problems. Students will develop an understanding of 3-Dimensional solids and apply their knowledge of similarity to compare solids. Throughout the year students will learn to use visual/geometric strategies to support algebraic processes for problem-solving. 

Prerequisite: Integrated Math 1

5 periods per cycle

Grade 10

In this course, students continue their study of geometry, exploring 2D and 3D geometry and properties of functions. The course starts by reviewing essential algebra skills while looking at the properties of functions, including absolute value, quadratics, square roots, and trigonometric functions. Functions are compared, graphed, transformed, used to solve real-life problems, and considered from geometric and algebraic lenses. Students will build on their knowledge of 2-Dimensional shapes as they study properties of circles and use triangles to solve problems. Students will develop an understanding of 3-Dimensional solids and apply their knowledge of similarity to compare solids. Throughout the year students will learn to use visual/geometric strategies to support algebraic processes for problem-solving.  The honors course also includes equations of planes and matrices, and students consider more challenging problems throughout the course, often with a greater level of abstraction and at an accelerated pace than the non-honors course.

Prerequisite: Integrated Math 1 Honors and permission of the department head required 

5 periods per cycle

Grade 10

In this course, students will further develop an integrated understanding of Algebra and Geometry. The focus of the course will be the study of functions and their inverses, through their graphs, properties and applications. Students explore families of functions including trigonometric, exponential, logarithmic, polynomial and rational.  Series, sequences and limits are introduced as a precursor to calculus.

Prerequisite: Integrated Math 2

5 periods per cycle

Grade 11

This course is a rigorous study of functions and their inverses, through their graphs, properties and applications. Students explore families of functions including trigonometric, exponential, logarithmic, polynomial and rational.  Series, sequences and limits are introduced as a precursor to calculus.  Students consider challenging problems throughout the course, often with a greater level of abstraction and at an accelerated pace than in Integrated Math 3. In the Spring they will begin their study of limits, continuity and derivatives in preparation for Calculus BC.

Prerequisite: Integrated Math 2 Honors and permission of the department head required.

5 periods per cycle

Grade 11

This course introduces students to the major concepts and tools of collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, planning a study, anticipating patterns, and statistical inference. Data sets drawn from current studies and simulation are used to reinforce concepts.  

Prerequisite: Integrated Math 3 or Integrated Math 2 and permission of the department head required.

5 periods per cycle

Grades 11 and 12

Economics is a year-long course designed to provide students with an introduction to economic thought.  This course covers the foundational principles of economics, including both basic macroeconomic principles, and certain topics in microeconomics.  Throughout the course students work through projects, problem sets and simulations to deepen their understanding of the material. 

Prerequisites: Integrated Math 2 or Integrated Math 3 and Global History II or American History and permission of the math department head

5 periods per cycle

This course completes the integrated mathematics sequence and provides an opportunity for students to explore Calculus conceptually.  The course introduces students to the picturesque intentions and building blocks of Calculu, while equipping them with relevant problem solving techniques.  Students will develop and understand the fundamental concept of rates of change and use this foundational principle to analyze applications through the lens of Calculus.  Both differential and integral Calculus will be introduced and examined.

Prerequisite: Integrated Math 3 and permission of the department head is required.

6 periods per cycle

Grade 12

This course is an introduction to both differential and integral calculus. The derivatives and anti-derivatives of the elementary functions are fully developed using the concept of limits. Applications of the derivative include curve analysis, rectilinear motion, extreme value problems, optimizations, and related rates of change. Applications of the integral include obtaining the area between curves, finding the volumes of solids of revolution, and separable differential equations. Throughout the course, students consider graphical, algebraic, and numeric solutions to problems.  

Prerequisite: Integrated Math 3 and permission of the department head required.

6 periods per cycle

Grade 12

This course continues the study of differential calculus begun in Integrated Math 3 Honors, covers integral calculus, and concludes with the study of series.  Students consider challenging problems throughout the course, often with a high level of abstraction and at an accelerated pace.  Applications of the derivative include curve analysis, rectilinear motion, extreme value problems, and related rates of change. Applications of the integral include obtaining the area between curves, volumes of solids of revolution, and separable differential equations.  Functions are considered in rectangular, parametric, or polar form.  Further topics include arc length, improper integrals, and numeric solutions of differential equations using Euler's method.  

Prerequisite: Integrated Math 3 Honors and permission of the department head required.

6 periods per cycle

Grade 12

The Advanced Senior Seminar in Mathematics will focus on topics that lie outside of the traditional math course and vary by year. This course demands that the student be especially curious and motivated.  The student should enjoy applying complex mathematical solutions to real-world problems and be interested in the elegance of more abstract mathematics.  In addition to solving problems, students should expect to write proofs throughout the course.  At times this course may take on a computational flavor, but a coding background is not required and any necessary coding skills will be developed within the course.  Recent topics have included enumeration, graph theory, number theory, set theory, linear algebra, machine learning, and python programming.
 
This course may be taken for a full year (1 credit) or for the fall semester (1/2 credit). 

Prerequisite or co-requisite: Integrated Math 4: Calculus BC and permission of the department head required.
 
4 periods per cycle

Grade 12
  
Depending on enrollment, this course may be offered through Interschool, which meets on Tuesday before school and Thursday after school.