Mathematics

Upper School Curriculum

The mathematics department strives to help our students meet the requirements of mathematics knowledge for life, not just for the diploma they receive at graduation. Even though we only require three years, we believe that every student should take four years of rigorous mathematics courses that best meets her needs. We believe that every student can achieve success in each of the math classes they take, and we provide the tools to help them.

Mathematics knowledge, like technology, arts and language skills, is crucial to students' development of critical and analytical thinking. The abilities to solve problems, use logic and be creative are enhanced by the study of mathematics practices and theories.

List of 12 items.

Foundations in Algebra I

This is an introductory-level algebra course that focuses on the real number system, operations with positive and negative rational numbers, solving equations, solving inequalities, polynomials, quadratics, functions, basic geometry, and basic statistics. Students will develop their understanding of numbers by applying mathematical models to real world problems in preparation for Algebra 1. The use of the graphing calculator (TI-83/84) is introduced and required for this course.
Algebra 1

Topics include, but are not limited to algebraic expressions, solving equations and inequalities, radicals, linear and exponential relationships, quadratic functions, and systems. The use of the graphing calculator (TI-83/84) is introduced. This course lays the foundation for mathematical literacy that will help students be successful in every subsequent course in mathematics. Algebra I is required for all incoming freshmen unless they have passed an Algebra course and its final exam.
Geometry

Topics include Euclidean and coordinate geometry proofs, arithmetic and algebraic applications to geometry, coordinate geometry applications, quadratic equations, constructions, transformations, circle geometry and trigonometry applications. TI-84 graphing calculator used to enrich content. Prerequisite: Algebra I.
Foundations in Algebra II

This is an intermediate-level algebra course that focuses on functions, fractions, exponents, trigonometry, probability and statistics. Students will further develop their understanding of algebra by applying mathematical models to real world problems. Assessments will include homework, graded assignments, group work and quizzes/tests. TI-84 graphing calculator used to enrich content. Prerequisites: Geometry.
Algebra II/Trigonometry

Topics include intermediate and advanced algebra, exponential and logarithmic functions, trigonometry, probability and statistics. Emphasis is placed on real-world applications. Prerequisite: Geometry. TI-84 graphing calculator used to enrich content.
Algebra II/Trigonometry (H)

Honors level course including topics similar to Algebra II/Trigonometry with an accelerated pace a more rigorous approach. Suggested 95% average in Geometry. TI-84 graphing calculator used to enrich content.
Pre-Calculus

Students will cover topics that will prepare them for calculus. Topics include rigorous algebraic techniques involving exponents and radicals and solving equations and inequalities. We will study several types of functions including piecewise, exponential, logarithmic, trig, rational and asymptotic behavior. Towards the end of the year we will begin the calculus syllabus with limits and the introduction of derivatives. TI-84 graphing calculator is required, but rarely used. 80% in Math 11 suggested. 1 Year. Level 1.
Introduction to Calculus (Honors)

In this course, students will cover topics to prepare them for one of the calculus classes offered. First semester has a rigorous study of Inequalities, domain and functions including piecewise, composition and inverse. We finish this term with exponential and logarithmic functions focusing on 'e' and the natural logarithm. Second semester we go in depth examining trigonometry (all in radians) along with rational functions and asymptotic behavior. This is a great lead in for the early calculus topics of limits, rate of change and the definition of derivative. We will go into as many techniques of differentiation as time permits. TI-84 graphing calculator used to enrich content. 90% in Algebra II/Trig. is suggested.
Calculus (Honors)

This class gives the opportunity to learn calculus concepts at a more relaxed pace. The topics of limits, continuity, differentiation, and integration are studied in depth, as well as some applications of each. These applications include: approximations, related rates, optimization, motion, total distance/displacement, area and volume of solids. TI-84 graphing calculator used to enrich content. Prerequisite: Pre-Calculus or Introduction to Calculus H.
AP Calculus (AB)

This course is offered to students who have successfully completed Intro to Calculus Honors. The topics covered are determined by the national AP Calculus (AB) syllabus which is set by the College Board and represents what is covered during the first semester of college calculus. 93% or above on all math exams & Intro to Calculus Honors suggested. TI-84 graphing calculator required. AP Exam fee required.
AP Calculus (BC)

This course is offered to seniors who are advanced in mathematics and have successfully completed Introduction to Calculus at a high level (95% overall average without weighting). TI 84 graphing calculator required. The topics covered are determined by the College Board and represents what is typically covered during the first two semesters of college calculus. AP Exam fee required.
Math 12 with Stats

A senior level math course, which encompasses statistical methods and probability. Students learn how to compile data, prepare graphs and calculate mean, median, mode and standard deviation. Google Sheets will be used for some topics. Data is compared using the normal curve and binomial distribution. Probabilities will be calculated. A TI-84 graphing calculator is required for statistical calculations and graphing. Computers will be used to demonstrate statistical graphs. Other topics are ACT/SAT review, pre-calculus, history, and graphing. Students must have successfully completed Algebra II/Trigonometry.

A private, independent, Catholic school in Buffalo, NY, with coed Montessori, Lower and Middle Schools and a college preparatory High School for young women.