-
The goal of the Mathematics Department is to encourage and enable each student to:- value mathematics
- gain confidence in their mathematical ability
- become mathematical problem solvers
- communicate mathematically
- reason mathematically.
In addition, as described in Massachusetts Curriculum Framework for Mathematics (©2017), students who are proficient in mathematics should be able to:- make sense of problems and persevere in solving them
- reason abstractly and quantitatively
- construct viable arguments and critique the reasoning of others
- model with mathematics
- use appropriate tools strategically
- attend to precision
- look for and make use of structure
- look for and express regularity in repeated reasoning
To accomplish this, the curriculum must expand students' knowledge of numbers, computation, estimation, and measurement. To be successful in a technological world, students need to understand the basic concepts of algebra and geometry. In addition, students should be able to gather, organize, display and interpret data and in so doing, recognize patterns when they occur.
A broad and varied series of courses in the major areas of mathematics is offered with the intent of not only challenging the intellectually curious but also providing a good background of understanding for all. To facilitate proper selection, courses have been grouped by level of sophistication.
All the mathematics courses are sequential. The student must secure department approval before proceeding to the next level. Teacher recommendations will be based on prerequisites and determined in relation to criteria shown to be necessary for success at the next level. Therefore, the student’s teacher will recommend the most appropriate course during the course selection process. Any student interested in a course other than the one recommended by his/her current math teacher must complete the appropriate paperwork before the end of the course selection period. Students who may wish to move from one sequence of courses to another must demonstrate a "likelihood of success" in the new course sequence. This will include, but may not be limited to, taking an exam during the summer. Any student not presently enrolled in a mathematics course must see the Department Head during the course selection process to determine the appropriate course placement.
Each student must satisfactorily complete three years and earn at least fifteen (15) credits to fulfill the mathematics requirement for graduation. Accounting I, Accounting Principles, or Computer Science (maximum of 5 credits) may be used to fulfill the Mathematics requirement for graduation. These courses, however, do not meet the mathematics course requirement for students on Educational Proficiency Plans. Accounting I, Accounting Principles and Computer Science courses also do not meet the 4-year mathematics requirement for Massachusetts public colleges and universities.
Please Note: When a student who has not attended Masconomet middle school enters the senior high school, the Department Head will recommend appropriate placement. This recommendation will be based on consideration of records from the feeder school and, when appropriate, performance on a placement test and/or a brief interview.
MATHEMATICS COURSE PROGRESSION
Click on the link below to view the typical course progression available to students.
Course List
-
Program of Studies
- 1.
- Math
- Foundations of Algebra (CP)
- 1121
- Topics include - Order of operations, linear equations, inequalities, linear and nonlinear functions, the coordinate place, algebraic systems, exponents, radical operations, quadratic relationships, factoring, and data analysis. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- Recommendation of eighth grade math.
- Full Year - 5 Credits
- 9
- CP
- A1, A2, A3, S1, S2
- 2.
- Math
- Algebra I (CP)
- 1126
- Topics include: --- Solving linear, absolute value, exponential, quadratic & radical (as time permits) equations and linear inequalities --- Investigating properties of polynomials and exponents --- Investigating linear, exponential, quadratic functions --- Solving linear and quadratic systems --- Data analysis. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- Successful completion of Introduction to Algebra and teacher recommendation.
- Full Year - 5 Credits
- 9
- CP
- All years
- A1, A2, A3, A4, S1, S2
- 3.
- Math
- Algebra I (H)
- 1133
- Topics include: --- Solving linear, absolute value, exponential, quadratic & radical equations and linear inequalities --- Investigating properties of polynomials and exponents --- Investigating linear, exponential, quadratic functions --- Solving linear and quadratic systems --- Data Analysis Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- A grade of at least A minus each trimester in Introduction to Algebra and teacher recommendation
- Full Year - 5 Credits
- 9
- H
- All years
- A1, A2, A3, A4, S1, S2
- 4.
- Math
- Foundations of Geometry (CP)
- 1220
- In this course students will focus on problem solving, visual patterns and applications. Topics covered are angles, congruent and similar triangles, circles, polygons, area, volume, and reinforcing algebraic concepts.
- Successful completion of Algebra 1 and teacher recommendation.
- Full Year - 5 Credits
- 10
- CP
- All years
- 5.
- Math
- Making Connections in Math
- 1521
- Topics include a review of: --- Proportional reasoning --- Applying arithmetic operations to rational numbers & algebraic expressions --- Using properties of operations to generate equivalent expressions --- Solving equations & inequalities in one variable --- Working with linear functions presented in tabular, graphic or algebraic form --- Basic statistics & probability concepts --- Successful test taking strategies
- The course is graded Pass – Fail. Although credit in this course counts toward fulfilling general graduation requirements it does not satisfy the graduation requirement in math.
- Semester - 2.5 Credits
- 10
- CP
- Not offered in 2024-2025
- A1, A2, A3, S1, S2
- 6.
- Math
- Geometry (CP)
- 1124
- Topics include: --- Understanding points, lines & planes as building blocks of geometry --- Constructing and measuring segments & angles --- Reasoning & proofInvestigating geometric shapes & the relationships within/between them --- Understanding the relationship among transformations, congruence & similarity --- Investigating perimeter, area, surface area and volume --- Probability. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- Successful completion of Algebra 1 and teacher recommendation.
- Full Year - 5 Credits
- 10
- CP
- All years
- A1, A2, A3, A4, S1, S2
- 7.
- Math
- Geometry (H)
- 1131
- Topics include: --- Understanding points, lines & planes as building blocks of geometry --- Constructing and measuring segments & angles --- Reasoning & proof --- Investigating geometric shapes & the relationships within/between them --- Understanding the relationship among transformations, congruence & similarity --- Investigating perimeter, area, surface area and volume --- Probability. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- A grade of at least A minus each trimester in Introduction to Algebra or a grade of at least C each trimester in Algebra 1H and teacher recommendation
- Full Year - 5 Credits
- 9, 10
- H
- All years
- A1, A2, A3, A4, S1, S2
- 8.
- Math
- Foundations of Algebra II (CP)
- 1326
- This course investigates the concepts of a traditional algebra 2 course through the lens of personal finance. Throughout the course students will investigate a range of functions algebraically and graphically. Real world applications included ones related to banking, credit, investing, employment and budgeting will anchor algebra 2 skills and concepts.
- Successful completion of a full year algebra 1 course and teacher recommendation.
- Full Year - 5 Credits
- 11
- CP
- All years
- A1, A2, A3, A4, S1, S2
- 9.
- Math
- Algebra II (CP)
- 1322
- This course offers a traditional approach to algebra 2 that is best suited for students interested in a math-science career. It focuses on an in-depth study of polynomial, exponential, logarithmic and rational functions and an introduction to trigonometric functions. Applying these concepts to mathematical and real world problems occurs throughout the course.
- Successful completion of a full year algebra 1 course and teacher recommendation. A graphing calculator is required for this course.
- Full Year - 5 Credits
- 10, 11
- CP
- All years
- A1, A2, A3, A4, S1, S2
- 10.
- Math
- Algebra II (H)
- 1233
- Topics include: --- Creating and solving equations including polynomial, rational, exponential & logarithmic --- Creating and solving polynomial & rational inequalities --- Building, analyzing & interpreting functions including polynomial, rational, exponential, logarithmic & trigonometric --- Using data to make inferences & justify conclusions --- Using probability to make decisions. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- A grade of at least C each trimester/semester in Algebra I H and teacher recommendation. A graphing calculator is required for this course.
- Full Year - 5 Credits
- 10
- H
- All years
- A1, A2, A3, A4, S1, S2
- 11.
- Math
- Precalculus (CP)
- 1422
- Topics include: --- An extensive, in --- depth study of trigonometric and circular functions including proving trigonometric identities and solving trigonometric equations --- An introduction to the polar coordinate system and the relationship between polar and rectangular coordinates --- An introduction to conic sections. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- Successful completion of Algebra II and teacher recommendation. A graphing calculator is required for this course.
- Full Year - 5 Credits
- 11, 12
- CP
- STEAM
- All years
- A1, A2, A3, A4, S1, S2
- 12.
- Math
- Precalculus (H)
- 1331
- Topics include: --- An extensive, in --- depth study of polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs --- The polar coordinate system and the relationship between polar and rectangular coordinates --- Solving systems of linear and non --- linear equations --- Conic sections. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- A grade of at least C each semester and on each semester exam in Algebra 2H and teacher recommendation. A graphing calculator is required for this course.
- Full Year - 5 Credits
- 11
- H
- STEAM
- All years
- A1, A2, A3, A4, S1, S2
- 13.
- Math
- Mathematical Decision Making (CP)
- 1411
- Students will --- Use real world formulas to estimate large crowds, determine weighted averages & investigate various voting methods --- Use regression (linear, quadratic, exponential) to find the best function rule to describe a data set --- Linear programming --- Budget building & personal finance including gross vs net pay, calculating state & federal income taxes and other standard deductions. Throughout the course applying these concepts to mathematical and real world problems is emphasized
- Successful completion of an algebra 2 course and teacher recommendation. A graphing calculator is required for this course.
- Full Year - 5 Credits
- 12
- CP
- Business, Global, STEAM
- All years
- A1, A2, A3, S1, S2
- 14.
- Math
- Introductory Statistics (CP)
- 1523
- Topics include: --- Collecting, analyzing and interpreting numerical data in one and two variables--- Representing data in a variety of graph types including: circle, bar line plot & histogram --- Presenting data to an audience and fielding questions from the audience. Throughout the course applying these concepts to mathematical and real world problems is emphasized. Students will also investigate conditional probability and rules of probability so they can use probability to make decisions.
- Successful completion of an algebra 2 course and teacher recommendation. A graphing calculator is required for this course.
- Full Year - 5 Credits
- 11, 12
- CP
- Business, CCC, Global, STEAM
- All years
- A1, A2, A3, A4, S1, S2
- 15.
- Math
- Intro Calculus w Applications (CP)
- 1524
- The course incorporates topics from pre-calculus and allows students to refine their algebra skills and techniques and extend their knowledge of analytic geometry. Students will develop an understanding of the processes of differentiation and integration. Students will investigate limits and continuity from an intuitive perspective. Students will work with real world applications to model the use of calculus to solve problems from business, economics, management, science and social sciences.
- Successful completion of a full year pre-calculus course and recommendation of current math teacher. A graphing calculator is required for this course.
- Full Year - 5 Credits
- 12
- CP
- STEAM
- All years
- A1, A2, A3, A4, S1, S2
- 16.
- Math
- Calculus AB (AP)
- 1451
- This course is structured around three big ideas: limits, derivatives and integrals. Understanding the concept of limit allows students to identify continuous functions and apply the techniques of calculus to these functions. Students learn to reason with definitions and theorems and communicate their understanding of key concepts numerically, algebraically and graphically. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- A grade of at least C each semester and on each semester exam in Pre-Calculus H and teacher. A graphing calculator is required for this course. recommendationStudents must have a graphing calculator for this course. This course is approximately equivalent to a 1 semester calculus course in college
- Full Year - 5 Credits
- 12
- AP
- STEAM
- All years
- A1, A2, A3, A4, S1, S2
- 17.
- Math
- Calculus BC (AP)
- 1441
- In addition to the topics above, students will consider various methods for determining convergence and divergence of a series. These include Maclaurin series for common functions, general Taylor series representations, radius and interval of convergence, and operations on power series.Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- A grade of at least B each semester and on each semester exam in Pre-Calculus H and teacher recommendation. Students must have a graphing calculator for this course. This course is approximately equivalent to a 2-semester calculus course in college
- Full Year - 7.5 Credits
- 12
- AP
- STEAM
- All years
- A1, A2, A3, A4, S1, S2
- 18.
- Math
- Statistics (AP_H)
- 1461
- This course is equivalent to a one - semester, non -calculus college course. Students are introduced to the major concepts of tools for collecting, analyzing and interpreting data. Four key themes are considered: --- Exploring data --- Sampling & experimentation --- Anticipating patterns --- Statistical inference. Throughout the course applying these concepts to mathematical and real world problems is emphasized.
- Successful completion of Pre-Calculus and teacher recommendation. Students must have a graphing calculator for this course. Seniors who remain in this course during internship are prepared to take the AP statistics exam in May
- Full Year - 5 Credits
- 12
- AP/H
- CCC, Global, STEAM
- All years
- A1, A2, A3, A4, S1, S2