Mathematics

MA15 and MA17 - 2 Math Credits
Integrated Math I & II is a 2 year course covering necessary skills from Pre-Algebra, Algebra I and Geometry. Students taking the Integrated Math program would have to make the commitment for 2 years.

The first year of Integrated Math will cover basic skills ultimately needed to prepare for the MCAS examination. Students will explore basic signed numbers, order of operations, basic equation solving, ratio and proportion, basic geometry skills and basic probability and statistics. Students completing Integrated Math I will be required to take Integrated Math II.

Integrated Math II is a continuation of Integrated Math I. Students will continue their study of basic math topics with advanced factoring, solving of equations and inequalities, surface area and volume, quadrilaterals, and special angles. In the second semester, students will do a concentrated unit on MCAS review. Upon successful completion of this course, students may be recommended for Advanced Algebra A level (MA32) or Advanced Algebra B level (MA33) or Integrated Math III (MA19).

The recommendation will be based on the teacher’s assessment of the student’s performance and skill level in this course.

Integrated Math III is a continuation of Integrated Math I and Integrated Math II. Students will continue their study of math topics with an emphasis on mastery of key algebra skills and concepts such as solving equations and inequalities, solving systems of equations, graphing linear and quadratic equations, and applying basic fundamentals of trigonometry. Students will continue their study with operations on polynomials and factoring. This course is designed to prepare students for Advanced Algebra B-level (MA33) or Advanced Algebra A level (MA32).

Registration for this course requires approval from the Mathematics Department Head.

This course is designed to deliver a full Algebra I curriculum as mandated by the Massachusetts Frameworks. Students will be expected to be competent in pre-algebra topics and will be expected to routinely complete independent text reading in preparation for each class. The main objective of Algebra I is to develop fluency in working with linear equations.

Students will further their knowledge with tables, graphs, absolute value equations, solve linear equations, solve inequalities, solve systems of linear equations/ inequalities, extend their comprehension of the number system to include irrational numbers, generate equivalent expressions, manipulate and use formulas, simplify polynomials and begin to study quadratic relationships. Functions and relations of ordered pairs will include: domain and range, graphing operations and inverse operations. Upon successful completion of the course, the teacher will recommend the student for either Honors Geometry (MA21), Geometry Level A (MA22) or Geometry Level B (MA23).

The recommendation will be made based on the assessment of the student’s performance and skill level in this course.

This is an accelerated and in depth course that is designed for the student whose goal is to complete the Advanced Placement Calculus course in high school. The curriculum for this course is driven by the Massachusetts Curriculum Frameworks for Geometry with an emphasis on the development of deductive reasoning through the completion of geometric proofs. Students will be expected to have previously mastered all topics in Algebra I. The topics mastered in algebra will be coupled with topics in geometry to develop solutions to problems presented throughout the course. Additionally, students must be able to understand, apply and expand upon all geometric theorems, postulates and definitions that are presented in this course. The honors geometry student should be self-motivated, have a strong work ethic, be able to work independently and have an innate desire for mathematics.

Upon successful completion of the course, the teacher will recommend the student for either Honors Advanced Algebra (MA31) or Advanced Algebra A level (MA32). The recommendation will be made based on the assessment of the student’s performance and skill level in this course.

This is a course designed for the college-bound student. The curriculum for this course is driven by the Massachusetts Curriculum Frameworks for Geometry. The emphasis for this level course is in the application of geometric concepts versus the theoretical approach.

Students are expected to have a thorough working knowledge of Algebra I and should be able to develop solutions to problems that combine Algebra with topics in Geometry. This course will include the study of angles, parallel lines, similarity and congruence of triangles, polygons, surface area and volume of solids, circles, introduction to trigonometry of the right triangle, proofs, and coordinate geometry. It is expected that students independently read from their textbook and take notes from those readings along with using their class notes and textbooks when completing homework assignments. Upon successful completion of the course, the teacher will recommend the student for either Honors Advanced Algebra (MA31), Advanced Algebra A level (MA32) or Advanced Algebra B level (MA33).

The recommendation will be made based on the assessment of the student’s performance and skill level in this course.

This course presents basic foundations of geometric topics as mandated by the Massachusetts Curriculum Frameworks, incorporating and reviewing prior topics from courses in Algebra I and Pre-Algebra. This course contains the same concepts and topics in Geometry A level, but with a variation in delivery that presents ideas in a less theoretical manner. Activities to prepare students for the 10th Grade MCAS Test in Mathematics will be performed throughout the course. The course is designed to accommodate students who may require reinforcement of topics covered in prior math courses. Upon successful completion of the course, the student will be recommended for Advanced Algebra B level (MA33).

The recommendation will be made based on the assessment of the student’s performance and skill level in this course.

By building on prior knowledge of math concepts from other courses, Financial Algebra will take you step-by-step through strategies to help you learn the time value of money, how to evaluate the best cell phone contract, how to build a business plan by knowing costs, profits, and breakeven points. Applications-based practice problems use real-life scenarios to connect algebra to what’s going on in your life. While learning about investing, banking, credit, income taxes, insurance, and household budgeting, you will also be introduced to piecewise functions, regression, limits, exponential functions, and linear/ quadratic systems.

This course is a continuation of a course in Advanced Algebra designed to prepare students for placement into a credit bearing college math course. Topics include prerequisite skills from Algebra 1, rational expressions, factoring, rational exponents and roots, quadratic functions, relations and functions, exponential and logarithmic functions, and analysis and solution to open ended problems in mathematics. A brief preparation for the SAT exam is included at the beginning of the school year. Pertinent financial topics of interest to the students (ex. credit cards, loans, etc.) are also discussed, as time permits, throughout the course.

A TI-84 calculator is required.

This course integrates algebraic concepts and previews calculus. Students will expand their knowledge and deepen their understanding of quadratic, exponential, trigonometric, and logarithmic functions as they explore transformations of graphs, function composition, and inverse function relationships. Other topics include polynomial functions, sequences, series, combinations, and binomial distribution. Students will apply all of these skills and make meaningful connections to life’s experiences. This course is recommended for students who plan to continue their education beyond high school and who wish to be involved in a rigorous mathematical program. Juniors who successfully complete this course may be recommended for Honors Calculus or another upper level math course for their senior year, depending on the assessment of their performance and skill level.

A TI-84 graphing calculator is required.

This course includes a rigorous study of plane trigonometry, analytic geometry, analysis of functions, and topics in Algebra. The course is designed to help prepare the high school student for a course in Calculus.

A TI84 calculator is required.

This course is designed with a level of rigor suitable for the mainstream calculus student. This course is not designed for those wishing to obtain Advanced Placement credit. The student must have a strong background in trigonometry, coordinates, graphs, lines, functions, and algebraic manipulations. Topics will include functions and limits, differentiation, applications of differentiation, integration, applications of the definite integral, logarithmic and exponential functions, inverse and hyperbolic functions, and techniques of integration.

A TI84 graphing calculator is required.