**2024 – 2025**

**Math Department**

**Course & Program of Studies**

The mathematics courses at Greater New Bedford Regional Vocational Technical High School have been designed to allow all students to develop their math skills to their full potential. These courses will enable them to be successful whether they enter a trade or continue on to a two or four year college. The department uses a variety of instructional methods to meet the needs of all learners and to develop an understanding and appreciation of mathematics. The Mathematics curriculum is aligned with the Massachusetts Curriculum Framework for Mathematics – 2017.

Specifically, the curriculum aims to improve students’:

- The high school math curriculum aims to enhance students’ critical thinking skills through problem-solving and logical reasoning.
- It aims to provide opportunities for students to explore and apply mathematical concepts in practical scenarios to make learning more engaging and relevant
- The curriculum aims to promote collaboration and communication skills through group work and discussions in math-related activities.
- It seeks to foster a deep understanding of mathematical principles to prepare students for higher education and real-world applications.

**Freshman Math**

**Math Strategies I**– 1 Credit

Math Strategies I is a one-credit course that meets two days per cycle for the full school year. This course is taken concurrently with Algebra I providing explorations into additional algebraic concepts and spiraled review of major mathematical content.

**Algebra I / CP / ACP / Honors**– 3 Credits

Algebra will help prepare students for both college and the workforce by providing them with many different applications in various areas. This course develops the student’s ability to think in a logical and systematic way in addition to assisting the student in technical training. Algebra I courses include the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving and graphing first degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations.

**Sophomore Math**

**Math Strategies II**– 1 Credit

Math Strategies II is a continuation of Math Strategies I for all sophomores. Math Strategies II is a one-credit course that meets two days per cycle for the full school year. This course is taken concurrently with Geometry providing explorations into additional geometric concepts and spiral review of major algebraic content.

**Geometry / CP / ACP / Honors**– 3 Credits

This course is designed to develop a deductive and analytic approach to geometric concepts. Geometry will help prepare students for both college and the workforce by providing them with many different applications in various areas. Students must pass Algebra I to take this course. A deep foundation of geometric principles is presented, which allows students to pursue more advanced courses in mathematics. Geometry courses, emphasizing an abstract, formal approach to the study of geometry, typically include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles.

**Math Concepts**– 1 Credit

Math Concepts is a trimester course taken in conjunction with Geometry CP as preparation for high-stakes testing and serves as a bridge to Algebra II CP. This course provides a review of major mathematical concepts and topics may include: calculating basic arithmetic operations with integers, decimals, and fractions, applying computations to measurement and geometry, examining real numbers, exponents, graphing, probability, and data analysis. Accuracy in computation, interpreting word problems, along with responding to open-ended and technology-enhanced questions are emphasized throughout the course.

**Junior Math**

**Algebra II / CP / ACP / Honors**– 3 Credits

This course is a requirement for all students. Algebra II course topics typically include field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; properties of higher degree equations; and operations with rational and irrational exponents.

*One of the graduation requirements at Greater New Bedford Regional Vocational **Technical High School is that all students take four years of math. Starting with YOG 2027 – all students must take and pass 4 years of Math. An additional Math course can be taken as a general elective. The following courses are senior Math electives.*

**Senior Math**

**Math Electives – 3 Credits**

**AP Statistics**

This course is recommended for students planning to attend a four year college. Advanced Placement Statistics will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. This is an Advanced Placement course which follows a set syllabus approved by The College Board. An AP exam is required to be taken at the end of the year. Students enrolled in AP Statistics should expect to complete lessons and assignments during both academic and shop cycles. Following the College Board’s suggested curriculum designed to parallel college-level statistics courses, AP Statistics courses introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Permission of the department head is mandatory.

**Probability & Statistics (CP and ACP)**

This college prep course is offered to students who have passed Algebra II. This course will introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. This course is recommended for students who plan to attend a 2 or 4-year college – particularly those interested in the areas of psychology, sociology, health science and business-related majors such as Accounting, Finance, Marketing, etc. Probability and Statistics courses introduce the study of likely events and the analysis, interpretation, and presentation of quantitative data. Course topics generally include basic probability and statistics: discrete probability theory, odds and probabilities, probability trees, populations and samples, frequency tables, measures of central tendency, and presentation of data (including graphs). Course topics may also include normal distribution and measures of variability.

**Honors Differential Calculus**

This honors course is offered to students who have successfully completed Pre-Calculus or three years of Honors math courses. A strong mathematical background is required. Topics for discussion include functions, limits, infinity and continuity, derivatives, techniques of differentiation, curve sketching, and applications of differentiation. This course is recommended for students who are interested in pursuing a STEM (Science, Technology, Engineering, and Mathematics) based major in college. Permission of the department head is mandatory.

**Pre-Calculus (ACP)**

This course is offered to students who have completed three years of Advanced College Prep Math courses and/or have demonstrated superior mathematical skills. This course is recommended for students who are interested in pursuing a STEM (Science, Technology, Engineering and Mathematics) based major in college. Topics typically include the study of complex numbers; polynomial, logarithmic, exponential, rational, right trigonometric, and circular functions, and their relations, inverses and graphs; trigonometric identities and equations; solutions of right and oblique triangles; vectors; the polar coordinate system; conic sections; Boolean algebra and symbolic logic; mathematical induction; matrix algebra; sequences and series; and limits and continuity. Permission of the department head is mandatory.

**Algebra III (CP)**

Algebra III reviews and extends algebraic concepts for students who have already taken Algebra II. Course topics include (but are not limited to) operations with rational and irrational expressions, factoring of rational expressions, linear equations and inequalities, quadratic equations, solving system of linear and quadratic equations, properties of higher degree equations, and operations with rational and irrational exponents. The course may introduce topics in discrete math, elementary probability and statistics; matrices and determinants; and sequences and series.