# Mathematics

Integrated Math A
Integrated Math A is a comprehensive course composed of five major areas: ratios and proportional relationships, the number system, expression and equations, geometry, and statistics and probability. The course is closely aligned with the Common Core State Standards and is designed to prepare students for upper level mathematics and the PARCC exams. Integrated Math A focuses on four critical areas: using ratios and rates to solve problems, working with rational numbers (including fractions and negatives), describing relationships with numerical and algebraic expressions and equations, and analyzing statistics. Within these contexts students will explore standards of mathematical practice as they work to develop into stronger mathematicians.

Integrated Math B
Integrated Math B serves as an introduction to the symbolic language of Algebra as well as a solidification of the basic operations needed to be successful in developing fluency in mathematics. The course is composed of 5 major areas: ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability. The course is closely aligned with the Common Core State Standards and is designed to prepare students for CCSC's high school math courses and the MCAS.

Integrated Math C
Integrated Math C is a comprehensive course covering The Number System, Expressions and Equations, Functions, Geometry, and Statistics and Probability. The three critical areas focused on throughout the course are: (1) applying equations in one and two variables; (2) understanding the concept of a function and using functions to describe quantitative relationships; (3) applying the Pythagorean Theorem and the concepts of similarity and congruence. The overall goal of this course is to increase students' math fluency to a level of proficiency. This course builds foundation for success in Community Charter School of Cambridge's rigorous high school mathematics courses. The course is closely aligned with the Massachusetts state standards and is designed to prepare students for the MCAS.

Algebra I
Algebra I is a comprehensive course covering the language of algebra, linear functions, exponential functions, quadratic functions, and descriptive statistics. The focus of this course is being able to communicate problem-solving process and result in a logical format. The course is closely aligned with the Massachusetts state standards, which incorporate the Common Core State Standards for Mathematics, and is designed to prepare students for college and career readiness.

Geometry
Geometry is a course that includes in-depth rigorous study of geometric concepts with an algebraic focus.  Students will examine the importance of constructing and justifying valid arguments.  This skill will be developed through exercises in formal and informal proofs, constructions, and algebraic problem solving.  Students will also work to use geometry to describe the world around them through the exploration of the structure and properties of angles, lines, and variety of two-dimensional and three-dimensional figures.

Algebra 2
Students will continue to develop their algebra skills as they graph and solve a wider variety of equations, inequalities and systems including: linear, quadratic, polynomial, absolute value, radical, exponential, logarithmic and trigonometric.  Students will also be introduced to probability and statistics.

Pre-Calculus

Pre-Calculus is a course designed to reinforce concepts learned in Algebra 2, develop problem-solving skills, and build upon the student’s understanding in order to extend to a wider variety of algebraic topics such as rational, exponential, and logarithmic functions.  The second half of the year focuses on Trigonometry, where students will examine angle measure, triangle trigonometry, and trigonometric functions.  The year will also include a study of vectors and limits to adequately prepare the student for Calculus, college mathematics, and topics in science and engineering.

AP Calculus
Advanced Placement Calculus is an intensive college-level math course which prepares students for the AP Calculus AB exam in May.  A student who does well on the exam may earn college credit and/or advanced math placement in college.  Topics include limits, differentiation, integration, applications of differentiation and integration, and differential equations.  After the AP exam, students will explore advanced topics in mathematics or computer science.

Exploring Computer Science
Students in Exploring Computer Science will be introduced to the breadth of the field of computer science through an exploration of engaging and accessible topics. Rather than focusing the entire course on learning particular software tools or programming languages, the course is designed to focus on the conceptual ideas of computing and help students understand why certain tools or languages might be utilized to solve particular problems. The goal of Exploring Computer Science is to develop in students the computational practices of algorithm development, problem solving, and programming within the context of problems that are relevant in the lives of today’s students. Students will also be introduced to topics such as interface design, limits of computers, and societal and ethical issues.