# Course Descriptions

**MATHEMATICS**

__Mathematics Dept. Calculator Policy:__

To follow the Massachusetts Common Core Curriculum Frameworks and to meet our school’s academic expectations, it is necessary to utilize technology as an essential tool in the teaching of mathematics. In keeping with the school’s Core Values and Beliefs Statement, that each student come to school ready to learn, and to maximize learning success, appropriate calculators will be recommended for use at home and in school.

*It is recommended that all students provide their own calculators and develop proficiency with them***. **Scientific calculators Ti-30 are sufficient for Geometry courses. Graphing calculators are encouraged for all courses starting with Algebra II, while strongly recommended for Pre-Calculus and Calculus. Graphing calculators are required for AP Statistics. The TI-84+CE graphing calculator is recommended. Teachers will inform students of the appropriate calculator at the beginning of the school year.

In addition, students taking the math portion of the MCAS, PARCC, the PSAT's and the SAT's will be required to have their own calculators and be proficient with them. A minimum scientific calculator is required. A graphing calculator is required for taking the Calculus AP exam and the AP Statistics exam.

__Mathematics Dept. Summer Packet Policy:__

In order to have students maintain content knowledge, summer packets are given at the end of the previous school year. The summer packets are due the first Friday after school begins. There are no exceptions. The packets are given to all students all math classes except Math Applications. If a summer packet is lost, it is available for download on the math department website shsmath.webnode.com or at the Somerset Berkley Regional High School website somersetberkley.org.

**COURSE OFFERINGS:**

**Algebra I **

**Grade 9 Level 1 ****110103**

This course is an in-depth study of Algebra I, which proceeds at a quick pace. The concepts of algebra are introduced with an examination of the structure and the techniques of algebra, linear equations, factoring, quadratic equations, inequalities, graphing, probability, and statistics. Real world applications are integrated throughout the course. **Students should have a minimum average of B- in level 1 Math in grade 8 and qualify according to skill level on a grade 8 Algebra Readiness test.**

**Grade 9 Level 2** **120103**

The concepts of algebra are introduced with an examination of the structure and the techniques of algebra. Topics studied include: number lines, variables, functions, linear equations, factoring, quadratic equations, inequalities, graphing, probability, and statistics. Real world applications are integrated throughout the course. **Students should show appropriate skill level to succeed in this course by taking a grade 8 Algebra Readiness test.**

**Model Mathematics I **

**Grade 9 Level 3 ****130103 **

The fundamental purpose of the course is to formalize and extend the mathematics that students learned in the middle grades. This course is comprised of standards selected from the high school **conceptual categories of the Common Core Frameworks**, which were written to encompass the scope of content and skills to be addressed throughout grades 9–12 rather than through any single course. This is a course in which students learn mathematics in the context of real world applications and a wide variety of problems. The course is intended for students who have difficulty with the abstract nature of the traditional approach. Topics in Algebra, Geometry, Logical Reasoning, Measurement, Probability, Data Analysis, Statistics, Patterns, Relations, Number Sense and Operations are interwoven throughout. These topics are spiraled throughout the course to enhance learning. This course is part of a three-year sequence. This course does not satisfy NCAA eligibility requirements. **Students should have completed Pre-Algebra in grade 8.**

**Pre-AP Geometry **

**Grade 9 Level 9 ****190103**

Students taking this course will move at a quicker pace than level one. This course is a more in-depth study of Geometry including the definitions, postulates, and theorems of plane geometry using a rigorous theoretical approach with emphasis on logical arguments and proofs. The course covers plane geometry, deductive reasoning, problem solving strategies, and logic. Solids and three-dimensional space is explored and developed including surface area and volume. There is a special emphasis on coordinate and transformational geometry. Right triangle trigonometry is introduced and explored. **Students should have a minimum average of B+ in Algebra 1, level 1, in grade 8, and qualify according to skill level on an Algebra final exam.**

**Geometry Grade 10 Level 1** **210103**

This course covers the definitions, postulates, and theorems of plane geometry using more rigorous approach than a level 2 course. Plane geometry, deductive reasoning and logic, areas and volumes of plane and solid figures are also covered. Solids and three-dimensional space is explored and developed including surface area and volume. There is a special emphasis on coordinate and transformational geometry. Right triangle trigonometry is introduced and explored. **Students should have successfully completed Algebra I level 1 with a final average of B- in grade 9 and/or achieved a qualifying score on an Algebra I final exam.**

**Geometry Grade 10 Level 2 ****220103**

This course emphasizes a more investigative approach to geometry. Students study plane geometry, deductive reasoning and logic. Solids and three-dimensional space are explored, including surface area and volume. There is a special emphasis on coordinate and transformational geometry. Right triangle trigonometry is also introduced. **Students should have successfully completed Algebra 1 level 2 with a minimum final average of C-**

**Model Mathematics II**

**Grade 10 Level 3 ****230103 **

The focus of the Model Mathematics II course is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Model Mathematics I. Topics covered will be from the same areas of mathematics but will build on knowledge from the previous year. This course does not satisfy NCAA eligibility requirements.

**Students should have successfully completed ****Model Mathematics I **

**Math Applications **

**Grades 10 Level 3 ****230203**

This course emphasizes the Learning Standards of the six conceptual categoires of the Massachusetts Mathematics Common Core Curriculum Framework: 1.) Number and Quantity, 2.) Algebra, 3.) Functions, 4.) Modeling, 5.) Geometry, and 6.) Statistics and Probability. The course is designed to prepare students for the mathematics portion of the MCAS 2.0 test. Students are evaluated on the basis of their performance in previous math courses and prior MCAS/PARCC scores for placement into this class. **This course must be taken in conjunction with another math course. IT CANNOT BE TAKEN ALONE. This course does not count toward the mathematics graduation requirement.**

**Pre-AP Algebra II **

**Grade 10 Level 9** **290103**

This course covers all the topics of Advanced Algebra II at a rapid pace and in depth. The concepts of algebra are expanded to include real and complex numbers, graphing, conic sections, all aspects of quadratic equations, varied applications of word problems, systems of equations, exponentials and logarithms. Students are encouraged to have their own graphic calculator. The TI-84 plus CE is recommended and will be used in class. **Students should have successfully completed level 9 Geometry with an average of B- or higher.**

**Algebra II Grade 11 Level 1** **310103**

The concepts of algebra are expanded to include real and complex numbers, various functions, graphing, conic sections, all aspects of quadratic equations, varied applications of word problems, systems of equations, exponentials and logarithms. Students are strongly encouraged to have their own graphic calculator. The TI-83 is recommended and will be used in class. This course covers all the topics of Algebra II in greater depth and rigor than level 2. **Students should have successfully completed Geometry and Algebra level 1 with an average of C- or better.**

**Algebra II Grades 11/12 Level 2** **320103**

This course in intermediate Algebra continues the study of the structure of algebra, reinforcing the topics of Algebra I. The concepts of algebra are expanded to include real and complex numbers, various functions, graphing, conic sections, all aspects of quadratic equations, varied applications of word problems, systems of equations, exponentials and logarithms. **Students should have successfully completed Geometry and Algebra I.**

**Model Mathematics III **

**Grades 11, 12 Level 3 ****330103**

It is in the Model Mathematics III course that students integrate and apply the mathematics they have learned from their earlier courses. The main focus is on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3)expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems. This course does not satisfy NCAA eligibility requirements. **Students should have successfully completed ****Model Math II. **

**Pre-AP Pre-Calculus with Trigonometry**

**Grade 11 Level 9** **390103**

This course will cover all topics found in Pre-Calculus with more depth and an accelerated pace. Students will also study additional topics relating to the study of calculus. This course includes a thorough study of functions, trigonometry, and other advanced topics. This course begins a study of mathematics that thoroughly combines algebra and geometry. Since functions are the foundation of calculus, the course covers rational, exponential, trigonometric and logarithmic functions. Other topics addressed include: circular functions, identities, analytic geometry, complex numbers, matrices, determinants, polar coordinates, limits and series. Graphing calculators (Ti-Plus 84CE) are recommended for this course. **Students should have successfully completed Algebra II (9) with a B- average or higher or an A- or higher in Algebra II (1).**

**Pre-Calculus with Trigonometry Level 1 Grades 11, 12 ****410103**

This course includes a thorough study of functions, trigonometry, and other advanced topics. This course begins a study of mathematics that thoroughly combines algebra and geometry. Since functions are the foundation of calculus, the course covers rational, exponential, trigonometric and logarithmic functions. Other topics addressed include: circular functions, identities, analytic geometry, complex numbers, matrices, determinants, polar coordinates, limits and series. Graphing calculators are necessary for this course. **Students should have successfully completed Algebra II Level I with a C average or higher.**

**Pre-Calculus with Trigonometry**

**Level 2 Grade 12 ** ** 420103**

This course includes a thorough study of functions, trigonometry, and other advanced topics. This course begins a study of mathematics that thoroughly combines algebra and geometry. Since functions are the foundation of calculus, the course covers rational, exponential, trigonometric and logarithmic functions. This course will go through topics at a slower pace than the Level 1 course. **Students should have successfully completed Algebra II Level 2 with a C+ average or higher.**

**AP Statistics**

**Grades 10,11, or 12 Level 9 ****390203**

This course is designed to cover the syllabus for Advanced Placement Statistics as prescribed by the College Entrance Examination Board. Students are expected to take the AP Statistics exam in the spring when the course concludes. A TI-84 Plus CE calculator is required for use in this course. Topics include exploring data, sampling and experimentation, anticipating patterns and statistical inference. **Sophomore students can take this in conjunction with Algebra 2 Level 9, but not in lieu of it. Junior students should have successfully completed ****Algebra 2 (9) or (1) and can take it in conjunction with Pre-Calculus Level 9 or Level 1, but not in lieu of them. Senior students can take this class if they have completed a minimum of Algebra 2 Level 1 or 9. They can take it with Pre-Calculus, Calculus or by itself.**

**Statistics**

**Grade 12 Level 1 ****410203**

This course is a multi-level offering with Level 2. The level 1 section will have extra assignments and different assessments than the level 2 course. This course specifically addresses the tenth and twelfth grade Massachusetts Common Core Mathematics Frameworks in Data Analysis, Statistics, and Probability. Students enrolled in this course are assumed to have mastered the concepts outlined in the Algebra 2 standards of the Common Core curriculum frameworks. The purpose of this course is to present basic concepts and techniques for collecting and analyzing data, drawing conclusions, and making predictions. This course will assist in the preparation for college and potential mathematics entrance/placement exams. There will be many projects and case studies to enhance student learning. A scientific calculator is recommended for this course. **Students should have successfully completed Algebra II.**

**Grade 12 Level 2 ****420203**

This course specifically addresses the tenth and twelfth grade Massachusetts Common Core Mathematics Frameworks in Data Analysis, Statistics, and Probability. In addition, the course will also cover some standards in Patterns, Relations and Algebra, as well as Number Sense and operations. Students enrolled in this course are assumed to have mastered the concepts outlined in the Algebra 2 standards of the Common Core curriculum frameworks. The purpose of this course is to present basic concepts and techniques for collecting and analyzing data, drawing conclusions, and making predictions. This course will assist in the preparation for college and potential mathematics entrance/placement exams. There will be many projects and case studies to enhance student learning. A scientific calculator is recommended for this course. **Students should have successfully completed Algebra II or Model Mathematics III.**

**Calculus AP **

**Grade 12 Level 9 ****490303**

This course is designed to cover the syllabus for Advanced Placement Calculus (AB) as prescribed by the College Entrance Examination Board. Students are expected to take the AB exam in the spring when the course concludes. A TI-84 Plus calculator CE, or the equivalent is required for use in this course. Topics include functions, limits, derivatives and their applications, integrals and their applications, parametric equations, polar coordinates, and infinite series**. **The philosophy and goals of Advanced Placement Calculus will set the direction for the entire course. The Rule of Four will be used to develop students’ understanding of the concepts of calculus. The Rule of Four is shorthand for the multi representational approach to mathematics that encourages all the topics, results and discussion be done verbally, analytically, numerically and graphically. Some topics from the BC syllabus will be covered, but preparation for the (AB) AP Calculus exam will be given. **Students should have successfully completed ****Pre-Calculus Level 9 with a B- or better and have the recommendation of a teacher.**

**Calculus**

**Grade 12 ****Level 1 ****410303**

This course is organized and presented specifically for the high school senior. It will begin with a review of number theory, linear & quadratic functions, trigonometric functions & conics. All standard topics of elementary calculus will be covered, including limits, continuity, techniques of differentiation and integration. Differential equations will be applied to the solution of practical problems regarding maxima, minima, rates of change, and motion. Integration will be applied to problems of area and volume. Ti 84-Plus CE Graphing calculators are necessary for this course. **Students should have successfully completed Pre-Calculus Level 9 or 1.**

## Math Department

**MATHEMATICS Course Descriptions:**