Math Department

Canterbury's mathematics faculty believe that math students must progress beyond rote memorization to become adept at mathematical reasoning. To achieve this goal, classes engage in cooperative learning, problem-based learning, and simulations. Students investigate a diversity of concepts, from the properties of real numbers in Algebra I to exploring limits and continuity in the post-Calculus course, Honors Multivariable Calculus.

In another post-Calculus course, Honors Linear Algebra, students engage matrix multiplication. In all classes, appropriate SAT prep is integrated into the curriculum. All mathematics classrooms are equipped with Apple TV, and teachers make full use of appropriate apps and software to enrich the experience of learning mathematics. In all courses, textbooks are available as etexts, and both teachers and students use iPads for interactive exercises. See the Academic Guide for a complete list of math courses.

INVESTIGATE

  • Use an interactive program written by one of our PreCalculus teachers to investigate trigonometric ratios.
  • Gain a deeper understanding after class by watching a tutorial video created by your teacher.
  • Use annotated class notes to review key concepts discussed in class.

ADAPT

  • Use an iPad to access mathematics eTexts.
  • Learn to solve problems by using apps such as WolframAlpha and GeoGebra.
  • Experience seamless integration of the SmartBoard, your calculator, and your etext during class.

COLLABORATE

  • Create a calculus tutorial video with your classmates using an iPad and the application ShowMe.
  • Solve homework problems in class with a partner after watching a video of your teacher explaining a concept.

2017 - 18 Course Offerings

Mathematics

Chair: Christopher Roberts

Our dynamic mathematics program makes use of iPads and Apple TV to create an interactive experience for students in class.

ALGEBRA 1

Basic concepts and properties of elementary algebra are introduced early to prepare students for equation solving. Concepts and skills are introduced algebraically, graphically, numerically, and verbally, often in the same lesson to help students make connections. Frequent and varied skill practice ensures student proficiency and success. Special attention is given to signed numbers, positive and negative exponents, linear equations, factoring, radicals, simultaneous equations, verbal problems, and test-taking strategies.

GEOMETRY

This full year course regards the properties of right triangles, similar triangles, polygons, and circles. Their geometric properties are treated synthetically with logic and proof, as well as analytically with coordinates and algebra. Multiple formats are supported through mastery including two column and indirect proofs. Students learn to value the need to think logically and present ideas in a logical order. Traditional geometry concepts and deductive reasoning are emphasized throughout, while measurement and applications are integrated to motivate students via real-world connections. Algebra 1 skills are reviewed at point-of-use, ensuring students maintain these skills.

Honors section available.

ALGEBRA 2

The goal of the intermediate algebra course is to introduce and automate the middle-level algebra skills. Practice in the fundamental topics (linear equations, exponents, logarithms, graphs, verbal problems, systems of linear and nonlinear equations, complex numbers, right triangle trigonometry, quadratic equations, and linear and quadratic functions) is provided.

Honors section available.

ELEMENTARY FUNCTIONS

Topics covered in this course include a review of linear functions with related applications, a thorough study of matrices, matrix algebra and applications, and an introduction to the mathematics of finance. This course offers the opportunity to investigate mathematics beyond Algebra 2 and to study topics outside the traditional high school curriculum. This course is calculator intensive and includes an introduction to discrete mathematics.

PROBABILITY AND STATISTICS

This course provides an elementary introduction to probability theory and mathematical statistics that emphasize the probabilistic foundations required to understand probability models and statistical methods. Topics include: basic combinatorics, discrete and continuous random variables, probability distributions, mathematical expectation, hypothesis testing, confidence intervals, and linear regression.

PRE-CALCULUS

Pre-Calculus prepares students for a college-level Calculus course by extending the student’s knowledge and skills acquired in previous courses. The course begins with a thorough review of selected topics—linear systems, polynomial functions, exponents, logarithms, sequences, series—and continues with an extensive study of trigonometry both as the solution to triangles and as the study of circular functions. At a more rapid pace, the honors section includes the usual topics treated at the beginning of a Calculus course (limits, derivatives, applications of derivatives).

Honors section available.

CALCULUS

This course covers many of the topics included in a college-level Calculus course. Topics include limits, methods of differentiation, related rates, maximization, Reimann sums, methods of integration, and area. The course is not as rigorous as AP Calculus and will not cover all of the topics on the AP syllabus.

AP CALCULUS

This course closely examines the theory behind and the applications of the derivative. A strong background knowledge of elementary functions and analytic geometry is required. The second half of this course closely examines integral calculus. The course curriculum satisfies the AB syllabus of the AP program. Students enrolled in this course are required to take the AP Calculus exam in May.

AP STATISTICS

This course covers the AP syllabus with specific emphasis in data exploration, experimental design, probability, and statistical inference. AP Statistics is a non-calculus based course which introduces students to methods and tools for collecting, analyzing, and drawing conclusions from data. This course is graphing calculator intensive. Students enrolled in this course are required to take the AP Statistics exam in May.

HONORS LINEAR ALGEBRA

The concepts and mathematical tools studied in the course include systems of linear equations, matrices, determinants, vector spaces, inner product spaces, eigenvectors, and linear transformations, and are useful for engineers, physicists, economists, statisticians, and computer scientists.

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