Mathematics & Business clone

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Curriculum Description

The mathematics program is organized to provide the student with the concepts that will enable him/her to meet with success in mathematics and all related areas such as science, programming and business. Mathematics is more than a collection of concepts and skills to be mastered. The goal of each mathematical science course is to develop the student’s abilities to explore, conjecture, and reason logically, as well as the ability to use a variety of mathematical methods effectively to solve non-routine problems.

The main objective of these courses is to enable students to achieve the proficiency levels targeted in The Massachusetts Mathematics and Business Curriculum Frameworks, as well as to meet the criteria put forth in our own 21st Century Learning Expectations. Coursework in all Mathematics and Business classes is focused upon the Essential Questions and Enduring Understandings targeted in the UbD curriculum documents for each course and level.

The course sequence and teacher recommendations help to provide the best possible placement for our students. The department recognizes that there are additional areas to consider when deciding on the proper placement of the individual student; unusual circumstances should be submitted to the Mathematics Department Leader for review.

Academic Characteristics By Level

Honors

These are honors level programs with high standards and expectations. Math courses at this level are fast paced and designed for students who are able to learn new concepts with very limited repetition and guidance. Students who are recommended for these courses:

demonstrate strong computational skills with minimal use of a calculator.
demonstrate proficiency with all previous mathematical concepts.
demonstrate mastery of concepts within established time frames.
demonstrate intellectual curiosity.
extrapolate new ideas and solve multi-step problems.
complete all assignments on time and provide detailed work.
complete long-term assignments independently.

College Preparatory I

These are college preparatory courses designed for students who are able to learn new concepts and reach a mathematical understanding of problems presented in class with a minimum of repetition and guidance from their instructor. Students who are recommended for these courses:

demonstrate average computational skills with minimal use of a calculator.
demonstrate increasing proficiency with all previous mathematical concepts.
demonstrate an appropriate academic attitude.
solve multi-step problems with minimal guidance.
complete all assignments on time and provide detailed work.
complete long-term assignments with interim checkpoints.

College Preparatory II

These math courses are designed for students who need more guidance when learning new concepts. Students will receive repetition of topics and skills through classroom practice and homework assignments. Students who are recommended for these courses:

demonstrate a willingness to learn.
need reinforcement with strengthening mathematical skills.
need direct instruction in combination with in-class guided practice.
need additional time to complete long-term assignments and assessments.
need long term projects broken down into manageable components.

Massachusetts State University Requirements

The Massachusetts Department of Higher Education Admission Standards for entrance into the Massachusetts State University System have been updated. Students will need to complete 4 courses of high school mathematics and 1 course credit must be completed during their senior year.

Based on these minimum requirements students need to complete either:

Algebra I, Geometry, Algebra II and 1 full credit beyond Algebra II your senior year
Geometry, Algebra II, and 2 full credits beyond Algebra II (one must be your senior year)

Mathematics Course Offerings

Algebra

45113 Concepts of Algebra I

Grades: 9 – 12 | Credits: 1

Students appropriate for this course have received a teacher recommendation.

This course is designed to support the needs of students who benefit from a more supported environment or have foundational gaps in their knowledge base. Concepts of Algebra Part 1 focus on four critical areas; (1) Expressions, Equations and Functions, (2) Linear Equations and Inequalities, (3) Graphing Linear Equations and Inequalities and (4) Systems of Equations. Assessments will include tests, quizzes, projects, and technological-based explorations.

*Scientific Calculator Required.

41102 Algebra I: College Preparatory I

Grades: 9 – 12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and have successfully completed 8th grade math.

Algebra 1 focuses on nine critical areas; (1) Expressions, Equations, and Functions, (2) Linear Equations and Inequalities, (3) Graphing Linear Equations and Inequalities, and (4) Systems of Equations, (5) deepen and extend understanding of linear and exponential relationships; (6) contrast linear and exponential relationships with each other and engage in methods for analyzing, solving, and using quadratic functions; (7) extend the laws of exponents to square and cube roots; (8) apply linear models to data that exhibit a linear trend; and (9) Data Analysis.. Assessments will include tests, quizzes, projects, and technological-based explorations.

*Scientific Calculator Required or a TI 84.

45303 Concepts of Algebra 2

Grades: 10 -12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and have successfully completed Concepts of Algebra Part 1.

This course is designed to support the needs of students who benefit from a more supported environment or have foundational gaps in their knowledge base. Essentials of Algebra Part 2 is a continuation of Essentials of Algebra Part 1 with a focus on four critical areas; (1) deepen and extend understanding of linear and exponential relationships; (2) contrast linear and exponential relationships with each other and engage in methods for analyzing, solving, and using quadratic functions; (3) extend the laws of exponents to square and cube roots; (4) apply linear models to data that exhibit a linear trend; and (5) Data Analysis. ("Common Core"). Assessments will include tests, quizzes, projects, and technological-based explorations.

*Scientific Calculator Required.

45302 Algebra 2 and Financial Applications: College Preparatory

Grades: 10-12 | Credits: 1

Students appropriate for this course have received a teacher recommendation or a minimum grade of “C-” in #410-Geometry: Honors or “C-in #408-Geometry: College Preparatory I and a minimum grade a “C-" in #404-Algebra 1 -Part 2 College Preparatory I .

This course is intended to help students enrich their skills and develop more concepts beyond Algebra I as they prepare for higher-level mathematic courses. This course is designed to help students apply the mathematics they learned in the classroom to real-world situations, model mathematical situations, communicate mathematically, and use technology appropriately. Students will study real numbers, operations, and patterns as they extend their understanding of algebraic concepts. They will work with polynomial, rational, exponential, and logarithmic functions, transformations, mathematical models, and statistics. Assessments will include tests, quizzes, projects, and technological-based explorations. TI-84 Graphing calculator required.

45312 Algebra 2 and Trigonometry: College Preparatory I

Grades: 10 - 12 | Credits: 1

Students eligible for this course must have a teacher recommendation and have successfully completed Geometry Honors, or earned at least a C+ in Geometry CP1 and Algebra 1 CP1.

This course is intended to help students enrich their skills and develop more concepts beyond Algebra I as they prepare for higher-level mathematics courses. This course is designed to help students apply the mathematics they learned in the classroom to real-world situations, model mathematical situations, communicate mathematically, and use technology appropriately. Students will study real numbers, operations, and patterns as they extend their understanding of algebraic concepts. They will work with polynomial, rational, exponential, and logarithmic functions, transformations, mathematical models, right triangle trigonometry, and statistics. Assessments will include tests, quizzes, projects, and technological-based explorations.

TI-84 Graphing calculator required.

45311 Algebra 2 and Trigonometry: Honors

Grades: 10 - 12 | Credits: 1

Students eligible for this course must have a teacher recommendation and meet one of the following criteria: earn at least a B- in Geometry Honors, or earn an A in both Geometry CP1 and Algebra 1 CP1.

This is a much faster-paced course than Algebra II CP I. This course is designed to help students apply the mathematics they learned in the classroom to real-world situations, model mathematical situations, communicate mathematically, and use technology appropriately. Students will study real numbers, operations, and patterns as they extend their understanding of algebraic concepts. The course is rigorous and intense and will include but not be limited to the following: polynomial, rational, exponential, and logarithmic functions, transformations, mathematical models, right triangle trigonometry, and statistics. Students will study real numbers, operations, and patterns as they extend their understanding of algebraic concepts. Assessments will include tests, quizzes, projects, and technological-based explorations.

*TI-84 Graphing calculator required.

40004 Comprehensive Math Pathways

Grades: 19- 12 | Credits: 1

This course is a service identified through the IEP (Individualized Education Program)

This course is designed to support the needs of students who benefit from a supported environment and have foundational gaps in their knowledge base. Comprehensive Mathematics Pathways focus on four critical areas; (1) the real number system, (2) linear equations, (3) linear inequalities, (5) linear functions, (4) basics of geometry. Assessments will include tests, quizzes, projects, and technological-based explorations. *Scientific Calculator Required.

Geometry

45203 Concepts of Geometry

Grades: 9 – 12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and successful completion of Concepts of Algebra Part 1 or Algebra 1 CP1.

This course is designed to support the needs of students who benefit from a more supportive environment or have foundational gaps in their knowledge base. Essentials of Geometry is designed for students to develop an understanding of Euclidean geometry while applying and strengthening algebraic techniques covered in previous courses. The focus of the course will include but not be limited to six critical areas: (1) congruence of triangles based on rigid motions; (2) similarity of triangles based on dilations and proportional reasoning; (3) circumference, area, and volume formulas; (4) Pythagorean Theorem on the coordinate plane; (5) proofs of basic geometric theorems; and (6) probability ("Common Core"). Assessments will include tests, quizzes, projects, and technology-based explorations.

*Scientific calculator required.

45202 Geometry: College Preparatory I

Grades: 9 – 12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and successful completion of Concepts of Algebra Part 1 or Algebra 1 CP1.

45201 Geometry: Honors

Grades: 9 -12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and a minimum grade of “A” in Algebra I 8th Grade or “A+” in Algebra I CP1.

This is a much faster paced formal study of Euclidean geometry in which students will be expected to use formal reasoning to justify conclusions about geometry and its relationship to other areas of mathematics. The focus of the course will include but not be limited to six critical areas: (1) congruence of triangles based on rigid motions; (2) similarity of triangles based on dilations and proportional reasoning; (3) circumference, area, and volume formulas; (4) Pythagorean Theorem on the coordinate plane; (5) proofs of geometric theorems; and (6) probability ("Common Core"). Assessments will include tests, quizzes, individual projects, and technological based explorations. TI-84 Graphing calculator required.

Business Course Offerings

Business

457 Hospitality and Tourism

Grades: 11 - 12/ Credits: 1/2

This course invites students to share unique enthusiasm & passion around the Hospitality & Tourism Industry. This class will prepare students to advance their interest in a hospitality career by offering a foundation of knowledge, array of careers available within the industry and strategies around operations management. This class also helps prepare any students interested in participating in our DECA program within this specific category. Course content will include a day in the life, corporate profiles, current Issues, case studies and a capstone community based design thinking project. There are no prerequisites for this course.

610 Introduction to Business: College Preparatory I

Grades: 10 -12 | Credits: 1

A great overture to the corporate world -Students explore the many facets of business while preparing for future opportunities. This course combines strong content with interactive business technology to keep student interest and support active learning. Topics include: advertising, the stock market, economics, consumerism, management, sales and marketing, finance, credit, risk management, and more. Strong emphasis is placed on instilling social responsibility and business ethics into each learning activity.

613 Business Innovation *GCP Elective

Grades: 11 - 12 | Credits: ½

In this class, students will have an opportunity to have a voice and choice when it comes to their learning using design thinking concepts. They will learn in-depth how design thinking directly relates to the business world and will work on several different projects to effectively execute the DT process. Students will learn the value of prototyping and testing out ideas in order to provide solutions to proposed community and global problems. All projects will be grounded in research, critical thinking, problem-solving, and presenting. Concepts will be driven by real-world issues, collaboration, curiosity, and fun. This will be a hands-on project, driven class.

*This course counts as partial fulfillment of the HHS Global Citizens Program

*The following course contains opportunities for passport activities and, on an individual basis, MAY qualify for course credit toward GCP requirements. This will depend on content chosen by student within the course AND pre-approval from course teacher and Mrs. Mills

614 Accounting: College Preparatory I

Grades: 10 -12 | Credits: 1

Accounting is literally the language of Business and the elective of choice even for students who might not pursue accounting or finance. Students get a big head start on financial accounting, which is a requirement for all business majors. Students will learn the accounting cycle through techniques such as the development of the double-entry accounting system covering a complete accounting cycle and investigation of the techniques involved in preparation and interpreting financial reports. Current automated accounting software will be integrated with each concept. Students should be able to understand logical process and work independently on short and long-term projects.

This course satisfies a Mathematics elective requirement.

621 Entrepreneurship and Marketing: College Preparatory **CSE Elective

Grades: 11 -12| Credits: 1

Generate wealth, start your own business and be your own boss. This class combines a variety of skills needed to establish and operate a successful business for profit or non-profit. Emphasis is placed on opportunity recognition and the functions of marketing, product planning, financing, risk management and promotion. Entrepreneurship will guide students through the process of creating and implementing a successful business plan. Students will develop an enterprise and use the skills needed to effectively create, develop, organize, and manage their own business ventures.

This course counts as partial fulfillment of the HHS Computer Science Endorsement.

201 AP® Microeconomics**GCP Elective

Grades: 10 – 12 | Credits: 1

Economics is the foundation that impacts the success of business and the consumer. The Advanced Placement Microeconomics course is designed to meet the criteria established by the College Entrance Examination Board; with the understanding that students will be fully prepared for the Advanced Placement Exam. Emphasis will be placed on the nature and functions of product markets and includes the study of factor markets and of the role of government in promoting greater efficiency and equity in the economy.

*This course counts as partial fulfillment of the HHS Global Citizens Program

45802 Personal Finance: College Preparatory I

Grades: 9-12 | Credits: ½

Students appropriate for this course have successful completion of Algebra 1 and Geometry

Personal Finance describes the principles and methods that individuals use to manage income and financial obligations. Personal finance reflects the growing need for 21st-century citizens to be financially knowledgeable, particularly in light of the increasing number of financial choices they face. It includes the application of knowledge and skills used to make financial decisions on many topics including but not limited to budgeting, income taxes, banking, investing, and student and consumer loans.

Business Course

Calculus

45502 Pre-Calculus: College Preparatory I

Grades: 9 – 12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and a minimum grade of a “B-“ in Algebra 2 Honors or “A-” in Algebra 2 CP1.

Pre-Calculus is an advanced mathematics course that blends the concepts and problem solving skills that must be mastered before enrollment in a college-level calculus course. This includes an in-depth study of trigonometry and functions; including the study of polynomial, rational, exponential, logarithmic and trigonometric functions. Within each function class, characteristics of the functions are emphasized including the basic form, graphical transformations and various applications. If time allows, we will cover polar and parametric functions, matrices and vectors, as well as provide an introduction to the Calculus topics of limits. Graphing calculators are required for exploration, although most topics will be assessed where use of the calculator is prohibited to encourage analytical thinking.

*TI-84 Graphing calculators required.

45501 Pre-Calculus: Honors

Grades: 9 – 12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and a minimum grade of “B” in Algebra II Honors.

Pre-Calculus is an advanced mathematics course that blends the concepts and skills that must be mastered before enrollment in a college-level calculus course. This course is designed for highly motivated students with consistent achievement and work habits in prior mathematics courses. The course will be more rigorous and intense and will consist of all topics included in Pre-calculus CP1 and the Calculus topics of limits and derivatives as a rate of change.

*TI84 Graphing calculators required.

45662 Probability and Statistics: College Preparatory I

Grades: 9 -12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and have completed Accelerated Geometry/Algebra 2. This course will not run until the school year 2028-2029.

This is a much faster paced formal study of the second half of Algebra 2 and Pre-Calculus. It is important to understand that the accelerated track requires not only solid mathematical prerequisite skills, but also a strong and consistent work ethic. The focus of the course will include but not be limited to: polynomial, rational, exponential, and logarithmic functions, transformations, mathematical models, trigonometry, and statistics. If time allows, study of limits and derivatives will take place. *TI-84 Graphing calculator required.

45701 Calculus: Honors

Grades: 9 -12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and a minimum grade of “B” in Pre-Calculus: Honors or “A” in Pre-Calculus CP1

Calculus is a non-Advanced Placement course. Since this is an advanced mathematics course, students must be completely familiar with the properties of functions, the algebra of functions, and the graphs of functions. Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and so on) and they must also know the values of the trigonometric functions of numbers such as 0, p/2, p/3, p/4, and p/6. Students will study limits, the derivative, and applications of derivatives. Students will be introduced to the concept of the Fundamental Theorem of Calculus as it relates to the anti-derivative, the integral and area under the curve.

*TI84 Graphing calculator Required.

45710 Calculus AB: Advanced Placement

Grades: 9 -12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and a minimum grade of “B-” in Pre-Calculus: Honors or “A” in Pre-Calculus CP1.

Before studying AP® Calculus, students must be completely familiar with the properties of functions, the algebra of functions, and the graphs of functions. Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and so on) and they must also know the values of the trigonometric functions of numbers such as 0, p/2, p/3, p/4, and p/6. The AP® Calculus course is designed to meet the criteria established by the College Entrance Examination Board; with the understanding that students will be fully prepared for the AP® Exam in Calculus AB. Emphasis will be placed on a study of functions, limits, differential calculus, integral calculus, and transcendental functions. Graphing calculators are required, although some topics may be explored and assessed where use of the calculator is prohibited to encourage analytic thinking.

*TI84 Graphing calculator Required.

45720 Calculus BC: Advanced Placement

Grades: 9 -12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and a minimum grade of “B-” in Pre-Calculus: Honors

Before studying AP® Calculus, students must be completely familiar with the properties of functions, the algebra of functions, and the graphs of functions (including polar and parametric). Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and so on) and they must also know the values of the trigonometric functions of numbers such as 0, p/2, p/3, p/4, and p/6. The AP® Calculus course is designed to meet the criteria established by the College Entrance Examination Board; with the understanding that students will be fully prepared for the AP® Exam in Calculus BC. Emphasis will be placed on a study of functions, limits, differential calculus, integral calculus, transcendental functions, and series. Graphing calculators are required, although some topics may be explored and assessed where use of the calculator is prohibited to encourage analytic thinking.

*TI84 Graphing calculator Required.

45600 Statistics: Advanced Placement

Grades: 9 -12 | Credits: 1

Students appropriate for this course have received a teacher recommendation and a minimum grade of “A” in Algebra II CP1 or “B” in Algebra II Honors.

AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions.

TI84 Graphing calculator Required.