Academics

This course begins by introducing the concepts of plane and coordinate geometry: angles, triangles, lines, circles, polygons, area similarity, congruence, and right triangle trigonometry. The second semester includes an introduction to perimeter, area, surface area, and volume. Students learn deductive reasoning using proof to expand fundamental geometric concepts by writing logical arguments and justifying conclusions. Throughout the year, geometric constructions serve to illustrate many of the topics. Students will need [at least] a scientific calculator.
Prerequisite: Algebra I

Students review the essential properties of linear functions while developing a comprehensive working understanding of quadratic functions and systems. Integrated throughout the year are the fundamental algebraic skills of graphing, solving equations, and simplifying expressions. The graphing calculator is used as a tool for discovering and making connections.
Prerequisite: Geometry

The Statistics course serves as an accessible introduction to fundamental concepts in descriptive statistics and probability. Students are taught how to effectively collect, analyze, and draw inferences from data to answer research questions. The main focus of this course will be on data visualization utilizing computer applications as the bridge to statistical and data science topics from a social perspective. The class makes extensive use of spreadsheet technology and real-world data using examples and applications relevant to issues of social justice that can be better understood through the lens of statistical analysis. Students explore how to interpret the wealth of information that exists on various issues through a critical lens, questioning not just what is presented numerically, but also how that data could be potentially misleading. In the final Capstone Project, students apply the skills they learned by developing their own research question, gathering data, and analyzing and reporting on the results using the statistical methods learned in class.
Prerequisite: Geometry

Read our New Course Spotlight on the CRMS blog to learn more about this class.

This course explores functions and their applications: polynomial, rational, exponential, logarithmic, and trigonometric functions. Operations, transformations, and inverses of functions are explored fully. Students are expected to use multiple representations of functions to solve problems, including algebraic, graphical, numerical, and verbal methods. The graphing calculator is used as a tool to explore new concepts as well as to solve problems in different ways.
Prerequisite: Algebra II

This course is centered on the four central concepts to be mastered in the first-semester college course in calculus: limit, derivative, definite integral, and indefinite integral. For each concept, students are asked to know the precise definition and be able to apply the concept and its associated skills to a variety of novel problems. There are three ways that these concepts are presented to the student: graphically, algebraically, and verbally. Students enrolled in AP Calculus are required to take the AP exam in May. Summer and Winter Break work required.
Prerequisite: Precalculus

In this course, students will extend their understanding of single-variable calculus to functions of several variables.  Multivariable Calculus students analyze and manipulate functions of two or more variables to understand their geometrical and physical implications.  Topics covered in the course may include partial derivatives, multiple integrals, vector calculus, linear and surface integrals, and applications to physics and engineering.  Students will also apply calculus concepts to solve real-world problems.
Prerequisite: AP Calculus AB and teacher approval

Independent Study Mathematic students may select from a variety of advanced mathematical topics and texts depending on their goals: Topics may include linear algebra, quantum mechanics, advanced topics in mathematical physics, or application of mathematics to a specific scientific specialty, etc. Students requesting this course should submit a written proposal for a course of study to the mathematics department chair and set a meeting to discuss the resources, assessment process, and structure of the course. Students are expected to work independently and will have a weekly check-in with a teacher of mathematics.
Prerequisite: Multivariable Calculus, Physics C and approval from Mathematics Department Chair