Math Department


The Math Department strives to encourage each student to comprehend and execute the study of mathematics.Committed to supporting and assisting each student in their efforts, we believe students should be active learners who take risks and work collaboratively, enjoying the core concepts of mathematics and how it helps us to better understand the world around us.

Course Offerings
INTEGRATED MATH
This course is the first year of a three-year integrated math sequence covering the topics traditionally covered in Algebra I, Algebra II, Geometry, and PreCalculus. This course uses an integrated approach to lay the conceptual and technical groundwork for the study of further algebra, geometry, statistics, and discrete mathematics. It is appropriate for students who have completed Pre-Algebra. Topics from the traditional Algebra I curriculum include algebraic operations with variable expressions, solving and graphing linear equations and inequalities, and solving quadratic equations. Foundational concepts from geometry and statistics include transformations and similarity, right triangles and the Pythagorean theorem, calculating area, theoretical probability, and quantitative statistics. Throughout the course there is an emphasis on questioning and discovery in mathematics. Students contribute to group work, complete research and projects on applied mathematical concepts, complete tests and quizzes regularly, and are also assessed on homework completion and class participation. Students take a final exam at the end of the year.
Freshman course
INTEGRATED MATH II (STANDARD/ACCELERATED/HONORS)

This course is the second year of a three-year integrated math sequence covering the topics traditionally covered in Algebra I, Algebra II, Geometry, and PreCalculus. The goal of this course is to extend and apply the topics studied previously and to introduce higher-level topics that will prepare students for future courses. This course is appropriate for students who have completed Pre-Algebra and Algebra I (Integrated Math I). Throughout the course there is a focus on developing problem-solving skills, evaluating the potential uses of technology in mathematics, and communicating methods and solutions. In addition to regular homework and assessments, students conduct research on mathematical topics, learn to model with functions, and may write, present or produce projects incorporating content from throughout the course.

Topics in the Standard Level from the traditional Algebra II curriculum include linear equations, inequalities and systems, graphing and analyzing functions, exponents and radicals, and quadratic functions. Concepts from geometry include parallel lines and transversals, polygon angles, triangle congruence and basic proofs, properties of quadrilaterals, and 3D geometry. Additional topics in the Accelerated Level include exponential functions, right triangle and unit circle trigonometry, and non-right triangle trigonometry. The Honors Level involves deeper explorations, extensions, and applications of all topics and includes further proofs and trigonometric functions on the coordinate plane. The TI-Nspire graphing calculator is required.
Freshman – Senior course

INTEGRATED MATH III (STANDARD/ACCELERATED/HONORS)
This course is the third year of a three-year integrated math sequence covering the topics traditionally covered in Algebra I, Algebra II, Geometry, and PreCalculus. The goal of this course is to integrate all previously learned math content, solidify retention of technical skills, and lead students into the deeper questioning that can be answered with higher-level study of mathematics including calculus and statistics. This course is appropriate for students who have completed Algebra I, Geometry, and Algebra II (Integrated Math II). Throughout the course there is a focus on problem-solving, comparison of methods and solutions, and self-reflection on both conceptual and technical mastery. In addition to regular homework and assessments, students complete an investigation on a mathematical concept or question at the level of this course or beyond.

Topics in the Standard Level from the traditional Algebra II and PreCalculus curricula include an integrated look at linear, quadratic, polynomial, exponential, logarithmic, radical and rational functions, an introduction to complex numbers, equations of circles, and an in-depth study of trigonometry. Nonalgebraic concepts include one-variable data analysis, graphical representations of two-variable statistics, and area and volume calculations. Additional topics in the Accelerated Level include sketching parent functions and their transformations without technology as well as sequences and series. Further additional topics in the Honors Level include two-dimensional vectors, theoretical probability, and an introduction to limits and basic differential calculus for the analysis of functions. The TI-Nspire graphing calculator is required.
Sophomore – PG course

DISCRETE MATH
As a senior/PG course, Discrete Math first provides an integrated review of the concepts in algebra and geometry that are traditionally covered in the first three or four years of a secondary math curriculum. The majority of the course then turns to probability, statistics, advanced algebraic functions, sequences and series, and the financial applications of these content areas. Each unit is designed to promote the ability to think and reason mathematically, collaborate creatively, and confidently apply mathematics to solve realistic industry-driven challenges. Problem solving and critical thinking are emphasized in each topic. Students are accountable for quizzes and tests on the mathematical skills and content as well as project-based major assessments on the overarching concepts that may be individual or team-based. A capstone financial planning project is the culminating unit.
Senior/PG course
INTEGRATED STATISTICS
This is a full-year course designed for students with varied backgrounds and abilities in mathematics. This course is appropriate for students who have completed Algebra II (Integrated Math II) or further coursework and are looking for a course that does not heavily rely on prior algebraic concepts. Topics include number properties, number sets, Venn diagrams, introductory probability, conditional probability, logic and truth tables to evaluate the validity of arguments. Also covered are methods for displaying one-variable data and analyzing the center and spread of single variable data sets. Visual representations and qualitative/quantitative analysis of two-variable data sets are also covered. Students are expected to analyze problems using the appropriate notation, terminology, techniques, and graphical representations. Students should also expect to use graphing calculators on a daily basis. Students are expected to complete daily homework or classwork assignments and are assessed through periodic quizzes and tests at the end of each unit. At least one major statistical investigation will be completed as a project-based assessment of the content in the course. The TI-Nspire graphing calculator is required.
Junior – PG course
AP STATISTICS
This is a non-calculus-based college-level introductory statistics class. Students should be confident with high school math through Algebra II or its equivalent, and department approval is required to enroll in this course. Of the four main topics covered in the AP Statistics curriculum, data analysis, data collection, and probability are all taught during the first half of the course. These topics are combined to discuss inference during the second half of the course. Concepts covered include independence, standard scores, statistical significance, normal models and T-distributions. Students will also understand the conditions and assumptions necessary to use particular statistical tools, construct confidence intervals, and perform hypothesis tests. As in a college course, students should expect about three hours of classwork and three hours of homework in a typical week. The TI-Nspire CAS graphing calculator is required and will be heavily utilized throughout the course.
Senior/PG course
INTEGRATED CALCULUS
This is a one-year course that is appropriate for students who have completed PreCalculus (Integrated Math III) or further coursework and are looking to extend and apply their prerequisite algebra mastery to the study of calculus. The course begins with an integrated review of polynomial, exponential, logarithmic and rational functions, triangle trigonometry, and analytic trigonometry. It continues with the study of differential and integral calculus and the applications of these concepts to analysis of curves on the coordinate plane and the position, velocity, and acceleration of objects in motion. Technology will be utilized throughout the course, with an emphasis placed on identifying when and how to use calculators to develop and justify solutions. Student assessment includes tests and quizzes, which require well-developed problem-solving ability, critical thinking skills, and the ability to explain and reflect on solutions or approaches. The TI-Nspire graphing calculator is required.
Sophomore, Senior/PG course
AP CALCULUS AB
This is a fast-paced, college-level course in single variable calculus. Students must be confident with prior mastery of precalculus concepts and department approval is required to enroll in this course. The primary objective is to prepare students to do well on the AP exam and in their future math courses. Calculus is explored through the interpretation of graphs and tables as well as analytic methods. The primary topics are limits, derivatives, integrals and their applications. The TI-Nspire CAS graphing calculator is required and used extensively as students learn to work with functions presented numerically, algebraically and graphically and to discuss the connections among these representations. Students are expected to contribute to class discussions and group work, complete homework consistently, and are assessed with regular tests and quizzes. Several weeks in the spring are devoted to review and preparation for the AP examination.
Sophomore – PG course
IB MATHematics applications and interpretation SL1
This is the first year of a two-year course for juniors and seniors, and is designed for students with varied backgrounds and abilities in mathematics. Students will develop practical mathematical skills for describing our world, modeling and solving real-world problems using the power of technology. In the first year, students  study scientific notation, approximation and error, sequences and series and their financial applications, and basic exponentials and logarithms. Students learn to create and use models with linear, exponential, natural logarithmic, cubic and simple trigonometric functions. Students learn right-angled and non-right-angled trigonometry, bearings, surface area and volume of 3D figures, and methods for collecting, displaying, and analyzing one-and two-variable data sets. Students are expected to contribute to class discussions and group work, complete homework consistently, and are assessed with regular tests and quizzes. The TI-Nspire non-CAS graphing calculator is required; technology is fully integrated throughout the course and students should expect to use the graphing calculator on a daily basis. 

Junior course

IB MATH STUDIES SL2
This is the second year of a two-year IB course; 2019-2020 marks the final year that this course will be offered. It will be replaced by IB Mathematics: Applications and Interpretation SL2 starting in the fall of 2020. In the second year of IB Math Studies, students review functions, including quadratic and exponential functions, sequences and series, financial math, probability, and introductory statistics. They also study more advanced statistics, and are introduced to calculus. Students are expected to analyze problems using the appropriate notation, terminology, techniques and graphical representations. Students are required to complete homework on a daily basis and are assessed through periodic tests and quizzes. In addition, students are required to complete a project that demonstrates an understanding of the practical applications of mathematics. The project requires students to organize and present information and data in tabular or graphical form and is the culmination of the statistics portion of the course. In late spring, students sit for the IB examination, which consists of two written papers given over two days. The TI-Nspire non-CAS graphing calculator is required. 

Senior course

 

IB MATHematics: Analysis and approaches SL1
This is the first year of a two-year course for juniors and seniors, and is designed for students with a solid background in algebraic and geometric thinking who enjoy mathematical problem solving and generalization. Students develop their mathematics to become fluent in the construction of mathematical arguments, strengthen their skills in mathematical thinking, and explore real and abstract applications, both with and without technology. The first year covers a wide range of topics including number sets and scientific notation, sequences and series and their financial applications, probability, one-variable statistics, linear correlation for two-variable data sets, triangle trigonometry and analytic trigonometry. Students continue their study of functions to develop a deeper understanding of linear, quadratic, exponential, logarithmic and rational functions and how these can be understood analytically and graphically. Technology will be utilized throughout the course including the use of graphing calculators for function and statistical analysis. Students learn to interpret and solve complex problems and to justify their methods and solutions in writing. Student assessment includes regular tests which require well-developed problem-solving ability and critical thinking skills. The TI-Nspire non-CAS graphing calculator is required. 

Junior course

IB MATH SL 2

This is the second year of a two-year IB course; 2019-2020 marks the final year that this course will be offered. It will be replaced by IB Mathematics: Analysis and Approaches SL2 starting in the fall of 2020. IB Math SL 2 includes the study of differential and integral calculus, applications of calculus, vectors and probability distributions, as well as a comprehensive and integrated review of the material from year one. To satisfy the Internal Assessment component of the IB curriculum, students will complete an in-depth mathematical exploration on a topic of their choice. The exploration allows students to work without the time constraints of a written examination and to develop skills for communicating mathematical ideas. Student assessment includes daily collaborative exam-style questions and regular tests which require well-developed problem-solving ability and critical thinking skills. In late spring, students sit for the IB examination, which consists of two written papers given over two days. The TI-Nspire non-CAS graphing calculator is required.
Senior course

IB MAThematics: analysis and approaches HL 1
This is the first year of a two-year course for juniors and seniors. IB Math Analysis HL is a rigorous, fast-paced course designed for students with a solid background in precalculus who enjoy mathematical problem solving and generalization. The primary objective is to prepare students to do well on the end-of-course exam after two years and for the continued study of mathematics and its applications. Students will become fluent in the construction of mathematical arguments, strengthen their skills in mathematical thinking, and explore real and abstract applications, both with and without technology. The curriculum includes an integrated review of precalculus topics, including exponential, logarithmic, rational and polynomial functions and function operations, sequences and series, and advanced trigonometry. The course moves on to the study of complex numbers and a comprehensive treatment of limits, derivatives, integrals, and applications of differential calculus, as well as a study of vectors. A graphing calculator is used extensively as students learn to work with functions presented numerically, algebraically, and graphically and see the connections among these representations. Students are expected to contribute to class discussions and group work, complete homework daily, and are assessed regularly through cumulative quizzes and tests. The TI-Nspire non-CAS graphing calculator is required. 

Junior course

IB MATH HL2
This is the second year of a two-year IB course; 2019-2020 marks the final year that this course will be offered. It will be replaced by IB Mathematics: Analysis and Approaches HL2 starting in the fall of 2020. In the second year of IB Math HL 2, students study further integration techniques, sequences and series (from the calculus option for the course), complex numbers, matrices, vector geometry in two and three dimensions, and introductory statistics and probability. The connections between these new areas of study and the calculus studied junior year are explored. Students will tackle examinations from previous years and use these as a basis for review of the topics of the course. Students are expected to contribute to group work, complete homework daily, and are assessed regularly through cumulative tests as well as the internal assessment, which involves an open-ended investigation into an advanced topic of a student’s choice. The internal assessment is graded by the classroom teacher and samples are sent to IB for moderation. In late spring, students sit for the IB examination, which consists of three written papers given over two or three days. The TI-Nspire non-CAS graphing calculator is required and used extensively.
Senior course
modeling climate change (fall/spring)
This one-semester math elective will use current climate data as the context for making and interpreting mathematical models. It is appropriate for students who have completed Integrated Math III or the equivalent. Students will start by developing an understanding of weather prediction and climate, and then review basic data analysis techniques and look at a myriad of analyses and graphs currently being used. Students will explore how weather data is currently collected and how scientists determine what climate patterns existed in the past. We will look at how economic models and projections are currently being affected by climate trends, the business of sustainable energy, and the role that changes in weather patterns are playing in war zones, migration and immigration, radicalism, and natural disaster clean-up and recovery. We will also discuss how to communicate accurate scientific and mathematical information when that information may be inherently politically charged. The TI-Nspire graphing calculator is required. 

Sophomore – PG course

CODING (fall/spring)
This semester course is an introduction to the exciting, rapidly growing world of coding and aims to teach structured program logic. Students will understand the role computation can play in solving problems. They will learn the process of writing and debugging a program through algorithms and simulation. Good style and logical thinking will be emphasized throughout the semester.  A laptop computer is required. Integrated Math I or equivalent is a prerequisite. 

Freshman – PG course

WEB DESIGN (fall/Spring)
This semester class is intended for students who want to learn about creating websites. Students learn how to create HTML documents, format text, add graphics/multimedia to web pages. Students will use open source internet resources to create, design, implement and manage websites. A laptop computer is required. 

Freshman – PG course

BIG DATA (fall/spring)
What do Google and Amazon do with all the data they collect every day? Data Science is booming. Students in this course learn some of the tools that data scientists use to get value from huge amounts of data. Students complete their own research on data of interest and generate statistics using software such as Stata, R, and SQL. A unit of this semester class will also focus on managing data with Excel. A laptop computer is required. Integrated Math I or equivalent is a prerequisite. 

Freshman – PG course

IB COMPUTER SCIENCE SL 1
Co-seated with Java and Program Design)

This two year course teaches computing system fundamentals, program construction using Java, systems life cycles, and software development. Students will understand the use of computers in a variety of disciplines, learn methods to analyze problems and plan computer solutions, appreciate the technical and social consequences of developments in technology, and acquire skills which can be transferred to future problems. The development of solutions lies at the heart of the subject. A laptop computer is required. Although not required, it is recommended that students take the Coding semester class first if they intend to enroll in this course as a junior.
Junior course

IB COMPUTER SCIENCE SL 2
This is the second year of a two-year course that teaches computing system fundamentals, program construction using Java and Python, systems life cycles and software development. Students will understand the use of computers in a variety of disciplines, learn methods to analyze problems and plan computer solutions, appreciate the technical and social consequences of developments in technology, and acquire skills which can be transferred to future problems. The development of solutions lies at the heart of the subject. A laptop computer is required.
Senior course
JAVA AND PROGRAM DESIGN

(Co-seated with IB Computer Science SL 1)
This full-year course teaches computing system fundamentals, program construction using Java, systems life cycles and software development. Students will understand the use of computers in a variety of disciplines, learn methods to analyze problems and plan computer solutions, appreciate the technical and social consequences of developments in technology and acquire skills which can be transferred to future problems. The development of solutions lies at the heart of the subject. A laptop is required. Although not required, it is recommended that students take the Coding semester class first if they intend to enroll in this course as a senior.
Senior-PG course.

Math Department Faculty

Rachel Wright

Rachel Wright

Math Department Chair, Advising Co-Coordinator

Daniel Casella

Daniel Casella

Math Teacher

Sue Eident

Sue Eident

Dean of Academics and Math Teacher

Nathaniel Gartner

Nathaniel Gartner

Math Teacher

Nicholas Joaquin

Nicholas Joaquin

Computer Science Teacher

Thomas Marshall

Thomas Marshall

Math Teacher

Andrew McBreen

Andrew McBreen

Math Teacher, 11,12 & PG Dean, and Coordinator of Citizenship Committee

Melanie Dexter Morlath

Melanie Dexter Morlath

Math Teacher

Michael Ropke

Michael Ropke

Math Teacher

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Address: 890 Lorem Ipsum Street #12 San Francisco, California 65432 Phone: 123.4567.890 Business Hours: 8a-6:30p M-F, 9a-2p S-S