Mathematics

Summer Geometry

Type: summer Available to: Students who successfully complete Algebra or Algebra Honors with an overall grade of B+ or better have the opportunity to take Summer Geometry. With successful completion of the course students will move to Intermediate Algebra, Advanced Algebra / Trigonometry / Precalculus (AATP), or Advanced Algebra / Trigonometry / Precalculus Honors (AATP Honors). Format The summer Geometry course offers rising grade 9 and grade 10 students the opportunity to fulfill the Geometry requirement and allows them to accelerate their math path. The online class takes place asynchronously, with four scheduled Zoom office hours per week. Students will be required to check into office hours via Zoom at least two times per week, and all course work must be completed during the five week period. The class will only run if 10 or more students enroll, and will be capped at 25 students. More information

Algebra Honors

Type: honors Available to: qualified students, see placement requirements link on the Math Department page This course is the first in the honors sequence for highly motivated and skilled students. Students develop a strong foundation in topics covered in Algebra while having their knowledge enhanced with additional problem sets that focus on more advanced concepts designed to provide a challenge for even the strongest students. Using mathematical puzzles and abstract concepts, students learn by exploration and collaboration while preparing themselves for future honors math courses. This course prepares students for Geometry Honors. For specific topics covered, see course description for Algebra.

Statistics Honors

Type: honors Available to: qualified students, see placement requirements link on the Math Department page Statistics is a growing field of study that has applications in many industries and academic fields such as psychology, life sciences, economics, astronomy, finance, sports and more. Paying close attention to local, national and global events, this honors course introduces students to the descriptive and inferential statistical methods that allow them to be competent consumers and handlers of data. Throughout the year students will explore several statistical themes such as producing data with experimental design, exploring data with descriptive statistics, anticipating patterns using probability, and learning about a population from sample data using statistical inference. Students will engage with these concepts through activities, simulations, projects, current events, and real-world data sets. Also, they will develop familiarity with technological tools that will help them access, display, analyze and interpret data. Deep engagement in the coursework [...]

Multivariable Calculus Honors

Multivariable Calculus is reserved for students who have completed AP Calculus BC. In colleges this course is commonly called Calculus III, and it expands the calculus concepts to multiple variables, and to multiple dimensions. The first part of the course introduces vector calculus basics such as the definition of a vector, its magnitude and direction, dot and cross products, and their geometrical interpretation. These concepts are then applied to 3-dimensional shapes, including lines, planes, and quadrics (ellipsoids, spheres, cones, paraboloids etc.). The second phase of the course focuses on calculus concepts with multiple variables to calculate arc length, surface area and volume by using line, double and triple integrals in Cartesian, polar, cylindrical and spherical coordinate systems. The course concludes by making connections to real-life problems such as Green’s, Divergence, and Stokes’ Theorems.

AP Calculus BC

This fast-paced college-level course covers the topics presented in AP Calculus AB in greater depth, as well as infinite series, including the Taylor series. Students also investigate functions defined by polar and parametric equations and vectors. They use topics such as the logistic growth model and related rates to apply their work to real world situations. Using calculus, they are able to calculate the carrying capacity of a pack of wolves, or how fast the volume of a balloon is changing when inflated or deflated. Students use online resources such as Desmos and the AP Classroom along with graphing calculators to enhance their knowledge of the concepts while preparing for the AP Exam.

AP Calculus AB

AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems. This comprehensive course requires students to use definitions and theorems to build arguments and justify conclusions. Students learn to solve problems expressed graphically, numerically, analytically and verbally to build a deeper understanding of the presented topics. Students use online resources such as Desmos and the AP Classroom along with graphing calculators to enhance their knowledge of the concepts while preparing for the AP exam in May, and the possibility of taking AP Calculus BC the following year.

Advanced Algebra / Trigonometry / Precalculus Honors (AATPH)

Available to: qualified students, see placement requirements link on the Math Department page This course is the third in the honors sequence for highly motivated and skilled students. Students completing Geometry Honors are well prepared to take this course. This course covers advanced algebra, trigonometry and the concepts needed to provide students for calculus. The course broadens and deepens advanced algebra concepts such as quadratic functions, polynomial functions, exponential and logarithmic functions, conic sections, and systems of linear and nonlinear equations. Students continue working on supplemental problem sets to enhance problem-solving skills, and we introduce non-traditional topics such as number system conversion. The course concludes with a detailed study of trigonometry including graphs, trigonometric equations and trigonometric identities. Graphing calculators and technology are integrated into the curriculum through projects and discussions of real-world problems, such as modeling population change. Throughout the year, students collaborate in an environment that encourages [...]

Calculus

Available to: qualified students, see placement requirements link on the Math Department page This course introduces students to the elements of differential and integral calculus with an emphasis on building upon and subsequently mastering skills learned in prior math courses. Students will use limits in their study of differential calculus and do a thorough examination of the tangent line problem. Students will apply differentiation techniques such as power, chain, product, and quotient rules. Once the techniques are mastered, students will apply their knowledge to authentic problems involving optimization. They will also explore applications of integral calculus, which include calculating the area under a curve and the fundamental theorem of calculus. This comprehensive course prepares graduating grade 12 students for college-level mathematics courses and younger students for AP Calculus AB.

Advanced Algebra / Trigonometry / Precalculus (AATP)

Available to: qualified students, see placement requirements link on the Math Department page This course covers all techniques, methods, and concepts usually covered in an algebra and trigonometry course, as well as the concepts presented in a traditional precalculus course. During the fall semester, students are introduced to advanced algebra concepts such as quadratic functions, polynomial functions, exponential and logarithmic functions, and systems of linear and nonlinear equation systems. The second half of the year features a detailed study of trigonometry including graphs, trigonometric equations and trigonometric identities. Throughout the year, students expand their knowledge of algebra and geometry and become familiar with concepts that they will encounter in calculus. Students in this course usually go on to take Calculus.

Geometry Honors

Type: honors Available qualified students, see placement requirements link on the Math Department page This course is the second in the honors sequence for highly motivated and skilled students. In addition to reviewing previously studied topics covered in Algebra Honors, students will continue to have their knowledge enhanced with problem sets that focus on practical application and real-life examples. The problem sets are designed to provide a challenge for even the strongest students and to prepare students for participation in optional math contests. Students move through fundamental concepts and the new topics at a brisk pace by spending less time on general practice, and more time engaging with more challenging problems. Students in Geometry Honors usually continue on to take Advanced Algebra / Trigonometry / Precalculus Honors (AATP Honors). For specific topics covered, see course description for Geometry.

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