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Mathematics

                                                                                     
As Galileo notes, the language of the universe is mathematics. CBHS mathematicians learn this language through rigorous study of the essential concepts and their authentic applications. CBHS mathematicians must master fundamentals but often make use of technological tools to allow for more complex problem-solving and modeling as well as more sophisticated mathematical products. Our math curriculum sequence is designed to facilitate rich connections with our sequence of science courses. As a part of most of our math courses, student also engage in self-paced computer-aided instruction for the purposes of skill-building, remediation and/or acceleration. All math courses are year-long and are worth two UPs.

Geometry and Probability
Most ninth-grade students at Casco Bay High School will take this course. The standards and rigor will be differentiated to accommodate the skills and challenges of the students. Students will study similarity through the lens of our first expedition "Build Community" and logic and reasoning in support of our second expedition, "Questions of Conscience". Concepts of geometry will be taught using technology, art, projects and various forms of problem solving. For students looking for additional rigor and in-depth problem-solving opportunities, a Math Lab will be offered during the weekly Academic Support block.

Sophomore Algebra
This course will use secondary math topics from algebra, geometry, trigonometry, and statistics to investigate the guiding questions: "How can we compare things in the real world using data?" and "How can we communicate these relationships in a precise and convincing way?" Students will deepen their understanding of real-world relationships through mathematics modeling, particularly using experimental data from their Physics course. Students will focus on recognizing patterns of change in linear, quadratic, exponential, and trigonometric function families and apply characteristics of those families to physics concepts. Students will learn and apply concepts from statistics, primarily linear regression, correlation, and central tendency, in order to use data effectively in support of their arguments. Students will also practice traditional algebra techniques of arithmetic and symbolic manipulation.

Sophomore Pre-Calculus
Sophomores with substantial skills and experience with algebra may take Pre-Calculus. With a dual focus on application and abstract understanding, Pre-Calculus is designed to prepare students for Calculus and to set the foundation for a career in science, technology, engineering, or math. To facilitate deeper learning, we use a model (EL Education's Workshop 2.0) that asks students to grapple with challenging material before receiving direct instruction. The primary topics we will investigate are: functions and function families; roots of polynomial equations; complex numbers; trigonometry; and sequences and series. Whenever possible and appropriate, Sophomore Pre-Calculus will connect to and extend upon learning in sophomore Physics.

Junior-Senior
Algebra This course uses secondary math topics (Algebra, Geometry, Trigonometry, and Statistics) to investigate the guiding questions, “How can we compare things in the real world using numbers?” and, “How can we communicate these relationships in a precise and convincing way?” With a continued emphasis on groupwork, investigation, project-based assessment, authentic application, and technology, students deepen their understanding of real-world relationships through mathematical modeling. This course also includes practice and preparation for the math section of the SAT and integrates when appropriate with junior and senior expeditions.

The Code: A Programming Approach to Advanced Topics in Algebra
In this introductory computer science class, students learn the basics of programming from digital logic to object oriented app development. During the course, students build a series of projects of increasing complexity. Projects are designed to teach logic, numeracy, and algebraic thinking while simultaneously developing coding skills. The course is taught primarily using Apple’s Swift 3 programming language and the Xcode application. Completion of CBHS Algebra is a prerequisite.

Statistics
This introductory course in statistics will revolve around case studies such as the issue of fairness in the draft for the Vietnam war, or using probability to prove guilt or innocence in murder trials. Topics will include probability, probability distributions, correlation, linear regression and hypothesis testing. The goal is to prepare students for success in rigorous college statistics programs. CBHS Algebra is a pre-requisite.

Junior-Senior Pre-Calculus
With a dual focus on application and abstract understanding, Pre-Calculus is a high-level math class designed to prepare students for Calculus and to set the foundation for a career in science, technology, engineering, or math. To facilitate deeper learning, we use a model (EL Education's Workshop 2.0) that asks students to grapple with challenging material before receiving direct instruction. The primary topics we will investigate are: functions and function families; roots of polynomial equations; complex numbers; trigonometry; and sequences and series. This course also includes practice and preparation for the math section of the SAT and integrates when appropriate with junior and senior expeditions.

Calculus
Casco Bay High School Calculus uses active pedagogy to explore the infinite and the infinitesimal. Students will learn the mathematical and historical origins, as well as the practical applications of two powerful operations: differentiation and integration. With a greater emphasis on proof, Calculus prepares students for upper level college math coursework.