### Math Courses

**M101 (CP): Algebra 1**

This course will address the newly adopted Massachusetts Curriculum Framework for Mathematics Incorporating the Common Core Standards for Massachusetts. The eight Standards of Mathematical Practice will be incorporated throughout the year as students discuss, among other topics, rational and irrational numbers, writing and interpreting polynomial and rational expressions, creating and reasoning with equations and inequalities, interpreting and building functions including linear, quadratic and exponential models, and summarizing and interpreting statistical and probability data. The course is designed to involve students in active learning, inquiry based problems, and problem solving strategies to build conceptual understanding and to strengthen students’ abilities to think, reason, and problem-solve using mathematical understandings and skills. Students who excel during the 1st semester of the course will be given the opportunity, with teacher recommendation, to move into Honors for the 2nd semester. Length: Year; Grade 9; Credits: 20 (10 Distributional)

**M111 (HN): Algebra 1**

This course is an accelerated version of M101. An advanced course that will address the newly adopted Massachusetts Curriculum Framework for Mathematics Incorporating the Common Core Standards for Mathematics. The eight Standards of Mathematical Practice will be incorporated throughout the semester as students discuss, among other topics, rational and irrational numbers, writing and interpreting polynomial and rational expressions, creating and reasoning with equations and inequalities, interpreting and building functions including linear, quadratic and exponential models, and summarizing and interpreting statistical and probability data. The course is designed to involve students in active learning, inquiry based problems, and problem solving strategies to build conceptual understanding and to strengthen students’ abilities to think, reason, and problem-solve using mathematical understandings and skills. Length: Semester; Grade 9; Credits: 10; Prerequisite: Grade of B or better in 8th grade math and 8th grade teacher recommendation

**M121 (CP): Geometry**

**This course will cover the newly adopted Common Core Standards for Massachusetts outlined in the Massachusetts Curriculum Frameworks. Students will engage in the eight Standards of Mathematical Practice while learning about congruent and similar figures, geometric proofs, transformations, coordinate geometry, properties of 2-dimensional figures (triangles, quadrilaterals, and circles), trigonometry, and basic probability. Students will engage in the eight Standards of Mathematical Practice by acquiring specific knowledge using active, hands-on learning and then applying that knowledge to real-life scenarios. Students will also obtain useful problem solving strategies to strengthen their ability to think about, reason through, and explain difficult mathematical concepts. Students who excel during the 1st semester of the course will be given the opportunity, with teacher recommendation, to move into Honors for the 2nd semester. Length: Year; Grade: 9, 10; Credits: 20; Prerequisite: Passing grade in Algebra 1 **

**M122 (HN): Geometry**

This course is an accelerated version of M121. This advanced course will cover the newly adopted Common Core Standards for Massachusetts outlined in the Massachusetts Curriculum Frameworks. Students will engage in the eight Standards of Mathematical Practice while learning about congruent and similar figures, geometric proofs, transformations, coordinate geometry, properties of 2-dimensional figures (triangles, quadrilaterals, and circles), trigonometry, and basic probability. Students will engage in the eight Standards of Mathematical Practice by acquiring specific knowledge using active, hands-on learning and then applying that knowledge to real-life scenarios. Students will also obtain useful problem solving strategies to strengthen their ability to think about, reason through, and explain difficult mathematical concepts. Length: One Semester; Grade: 9, 10; Prerequisites: Grade of B or better in Algebra 1 or, for incoming 9th graders, an 80% on the Algebra 1 Skills Assessment and 8th grade teacher recommendation

**M201 (CP): Algebra 2**

This course uses algebraic expressions and models for studying functions and solving real world situations. Graphing is emphasized and geometry is applied. Topics include patterns, functions, variation, as well as describing, extending, analyzing, and generalizing polynomial, logarithmic, rational, and radical functions and relations. This course also addresses topics on trigonometric functions and statistics. Length: One Semester; Grades: 10-12; Credits: 10; Prerequisite: Passing grade in Algebra 1 and Geometry

**M211 (HN): Algebra 2**

This course uses algebraic expressions and models for in depth coverage of functions and solutions of real world situations. Graphing is emphasized and geometry is applied. Topics include rigorous study of patterns, functions, variation, as well as describing, extending, analyzing, and generalizing linear functions, matrices, systems, exponential relationships and quadratic functions. This course also addresses topics on trigonometric functions, probability and statistics. This is a demanding course designed for motivated students. Length: One Semester; Grades: 10-12; Credits: 10; Prerequisite: Grade of B or better in Algebra 1 and Geometry or teacher recommendation

**M311 (CP): Functions, Statistics, and Trigonometry**

This course uses Algebraic expressions and forms for studying functions. Graphing is emphasized and Geometry is applied. Topics include inverses, square roots, cube roots; exponential, logarithmic, and trigonometric functions. This course will also include descriptive and inferential statistics, function analysis, combinatorics and probability. Algebraic and statistical concepts are integrated throughout and modeling of real phenomena is emphasized. Length: One Semester; Grades: 11, 12; Credits: 10; Prerequisite: Passing Grade in Algebra 2

**M410 (CP): Pre-Calculus with Quantitative Reasoning**

Students in this course will study functions including real world situations and how they are modeled algebraically, numerically, and graphically. This course will demonstrate how algebra and geometry can be used to model real-world situations. Students will use conceptual understandings to become critical thinkers when using quantitative information and connections will be made between statistics and everyday life and work. Students will also explore matrices and vectors to define and solve real-world problems. Length: One Semester; Grades: 11-12; Prerequisites: Grade of B+ or better in Algebra 2 or teacher recommendation

**M411 (HN): Pre-Calculus**

Students in this course will study functions including real world situations and how they are modeled algebraically, numerically, and graphically. This course will demonstrate how algebra and trigonometry can be used to model real world problems. Students will demonstrate an understanding of trigonometric functions and formulas for sine and cosine. Students will relate the slope of a tangent line at a specific point on a curve to the instantaneous rate of change. Topics in Discrete Mathematics are included and technology is fully integrated. Students will use induction to prove theorems and verify formulas. This is a demanding course designed for motivated students. Length: One Semester; Grades: 11-12; Credits: 10; Prerequisites: Grade of B or better in HN Algebra 2 or teacher recommendation

**M413 (CP): Mathematical Reasoning with Applications**

This course provides an alternative to Pre-Calculus for students who wish to continue to study mathematics beyond topics found in Algebra 2 and Functions, Statistics & Trigonometry. The course curriculum focuses on answering the question, “Why do I need to learn math?” Students will look at how mathematical concepts such as graph theory, cash flow, linear and exponential growth, percentages, probability, statistics, and estimation are encountered in areas such as business, personal finance, casinos, media, economics, sports, medicine, and the environment. These topics are investigated in a way that conveys the extent in which modern mathematics is used on a daily basis. As a part of this class, you will learn the skills to create and present unique projects that will show your understanding of the course content and highlights your unique interests and ideas. Honors and CP students will take this class together. Length: One Semester; Grades: 11, 12; Credits: 10; Prerequisite: Passing Grade in Algebra 2, or Functions, Statistics & Trigonometry

**M412 (HN): Mathematical Reasoning with Applications**

This course provides an alternative to advanced placement mathematics for motivated students. The course curriculum focuses on answering the question, “Why do I need to learn math?” This course looks at how mathematical concepts such as graph theory, cash flow, linear and exponential growth, percentages, probability, statistics, and estimation are encountered in areas such as business, personal finance, casinos, media, economics, sports, medicine, and the environment. These topics are investigated in a way that conveys the extent in which modern mathematics is used on a daily basis. As a part of this class, you will learn the skills to create and present unique projects that will show your understanding of the course content and highlights your unique interests and ideas. Honors and CP students will take this class together. Length: One Semester; Grades: 11-12; Credits: 10; Prerequisite: Passing grade in HN Algebra 2, FST or Pre-Calculus with Quantitative Reasoning

**M501: AP Calculus AB**

This
course is an in depth and rigorous study of single variable calculus,
which follows honors level work in the Pre-calculus, Algebra 2, and

Geometry
CRLS course sequence. Major skills to be developed/mastered will
include numerical, analytical, and visual methods involved in the study
of differential and integral calculus of polynomial, exponential,
logarithmic, and trigonometric functions. The skills learned will be
applied to model and solve problems in a variety of contexts. All topics
identifi ed in the Advanced Placement curriculum for this course will
be addressed. Length: Two Semesters; Credits: 20 (10 Distributional);
Prerequisites:Grade of B or better in HN Pre-Calculus and teacher
recommendation.

**M415 (CP, HN Opt.): Introduction to Computer Science: Exploring Programming**

This course is designed for students who have had no previous programming experience. The software package Alice features a development environment using 3D graphics to introduce students to computer programming and the Java language. Students will use Alice throughout the course to create projects in small virtual worlds using 3D models and Java programs. Students may also be exposed to other programming languages such as Python and Scratch. The course is intended not only to familiarize students with computer programming, but also to sharpen problem-solving skills. Honors designation can be earned by completing additional assignments and projects. This class can be taken for mathematics or RSTA credit. See also page 48. Length: One Semester; Grades: 9-12; Credits: 10; Prerequisite: Passing Grade in Algebra I

**M416: AP Computer Science**

The AP Computer Science course is an introductory course in computer science. Because the design and implementation of computer programs to solve problems involve skills that are fundamental to the study of computer science, a large part of the course is built around the development of computer programs that correctly solve a given problem. These programs should be understandable, adaptable, and, when appropriate, reusable. At the same time, the design and implementation of computer programs is used as a context for introducing other important aspects of computer science, including the development and analysis of algorithms, the development and use of fundamental data structures, the study of standard algorithms and typical applications, and the use of logic and formal methods. In addition, the responsible use of these systems is an integral part of the course. This course is a joint CRLS and Microsoft Corporation TEALS Program initiative and will be co-taught by a Microsoft employee and a CRLS teacher. Length: One Semester; Grades: 10-12; Credits: 10; Prerequisite: Passing grade in Algebra 2

**M501: AP Calculus AB**

This course is an in depth and rigorous study of single variable calculus, which follows honors level work in the Pre-calculus, Algebra 2, and Geometry CRLS course sequence. Major skills to be developed/mastered will include numerical, analytical, and visual methods involved in the study of differential and integral calculus of polynomial, exponential, logarithmic, and trigonometric functions. The skills learned will be applied to model and solve problems in a variety of contexts. Advanced Placement curriculum for this course will be addressed and AP Calculus Exam problems will be used to supplement course topics. Length: Year; Credits: 20 (10 Distributional); Prerequisites: Grade of B or better in HN Pre-Calculus and/or teacher recommendation

**M502: AP Calculus BC**

This course is an in depth and rigorous study of single variable calculus, which follows honors level work in the Pre-calculus, Algebra 2, and Geometry CRLS course sequence. Major skills to be developed/mastered will include numerical, analytical, and visual methods involved in the study of differential and integral calculus of polynomial, exponential, logarithmic, trigonometric, parametric, polar, vector functions, along with sequences and series. The skills learned will be applied to model and solve problems in a variety of contexts. All topics identified in the Advanced Placement curriculum for this course will be addressed and AP Calculus Exam problems will be used to supplement course topics. This is a demanding course designed for motivated students. This class can be taken for mathematics or RSTA credit. Length: Year; Credits: 20 (10 Distributional); Prerequisites: Grade of B+ or better in HN Pre-Calculus and/or teacher recommendation.

**M510: AP Statistics**

This course will provide students with an in-depth and rigorous study of statistics with the goals of improving students’ statistical fluency and interpretation of statistical data and ideas. The course will follow a curriculum approved by the Advanced Placement Committee of the College Board. Topics included as part of this curriculum will be distribution analysis, probability & simulations, sampling methods and making inferences based on data. AP Statistics Exam problems will be used to supplement course topics. Length: One Semester; Grades: 11,12; Credits: 10; Prerequisites: Grade of B or better in HN Pre-Calculus or teacher recommendation