Our vision is to connect, engage, and inspire all students in the Ayer Shirley Regional School District to reach academic excellence. We, the educators of the Ayer Shirley Regional School District, will instill habits of reflection and inquiry to challenge our students in setting ambitious academic and personal goals. Students will develop a strong voice to express thoughts and ideas in the community and the confidence to showcase their talents and successes in preparation for entry into college and the world of work. 

 

Mathematics Department

Mathematics has been used throughout history as a tool to advance our society. After high school, our graduates will go on to two and four-year colleges, technical schools, and to work. Therefore, the study of mathematics at the secondary level challenges students to think critically about the world, make informed decisions, and compete nationally and globally with their peers. Our students are making interdisciplinary connections, engaging in discussions about mathematical concepts, and taking part in performance assessments that model mathematics in the world around us.     

 The mathematics faculty is committed to the success of each student at ASRHS. In order to meet graduation requirements, students at ASRHS are required to successfully complete four years of mathematics at the high school level. All students will take a series of 3 integrated mathematics classes (Integrated Math I, II, and III), which combine algebra and geometry skills, as well as at least one advanced mathematics course. By graduation, students will have the opportunity, and are encouraged, to take one or more Advanced Placement (AP) Mathematics courses: Calculus AB, Calculus BC, and Statistics. Please see the Program of Studies for more information about the mathematics department and current course offerings. 

 

Required Courses
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INTEGRATED MATH 1 CP - GR 9, YEAR

This course is the first in a series of three integrated math courses, designed to correspond with the new Common Core standards.  Integrated Math 1 is designed to build on the concepts that students learned in the middle grades.  In this course, students will focus on algebraic manipulation, synthesizing understanding of functions, deepening understanding of linear relationships and models, establishing criteria for congruence and applying the Pythagorean Theorem to the coordinate plane.

 

INTEGRATED MATH 2 CP - GR 10, YEAR

This course is the second in a series of three integrated math courses, designed to correspond with the new Common Core standards.  Integrated Math 2 is designed to build on the concepts that students learned in Integrated Math 1.  In this course, students will focus on extending understanding of exponents to rational exponents, comparing quadratic functions with linear and exponential functions, creating and solving equations involving linear, quadratic and exponential functions, expanding work with probability, and establishing criteria for similarity of triangles based on dilations and proportional reasoning.  Prerequisite:  Completion of Integrated Math 1 CP or special permission from the math department liaison and school counselor.

 

INTEGRATED MATH 3 CP - GR 11, YEAR

This course is the third in a series of three integrated math courses, designed to correspond with the new Common Core standards.  Integrated Math 3 is designed to build on the concepts that students learned in Integrated Math 2.  In this course, students will focus on applying probability and statistics to draw inferences and conclusions from data, expanding understanding of functions to include polynomial, rational and radical functions, expanding right triangle trigonometry to include general triangles, and consolidating functions and geometry to create models and solve contextual problems.  Prerequisite:  Completion of Integrated Math 2 CP or special permission from the math department liaison and school counselor.

 

INTEGRATED MATH 2 HONORS - GR 9, YEAR

This course is the first in a series of two accelerated integrated math courses, designed to correspond to the new Common Core Standards.  This course covers understanding functions in depth including linear, exponential, quadratic and polynomial functions, establishing criteria for congruence of triangles, applying the Pythagorean Theorem to the coordinate plane, and expanding understanding of probability.

 

INTEGRATED MATH 3 HONORS - GR 10, YEAR

This course is the second in a series of two accelerated integrated math courses, designed to correspond to the new Common Core Standards.  This course covers understanding functions in depth including rational and radical functions, establishing criteria for similarity of triangles, deepening understanding of quadratic and linear models, applying geometric and algebraic concepts to solving real world problems.  Prerequisite:  Completion of Integrated Math 2 Honors or special permission from the math department liaison and school counselor.



PRE-CALCULUS H - GR 11, YEAR

In this course, students will extend their knowledge of topics from Integrated Math 3 in preparation for Calculus.  Specific attention is paid to Composition and Inverses and computing Limits of functions, applications and graphing of Trigonometric functions, and Trigonometric Identities.  Additional topics include Polar equations and Graph, applications of Logarithmic and Exponential Functions, and Vector.  Graphing calculators are required in this course.  Prerequisite:  Completion of Integrated 3 or Special Permission from the math department liaison and school counselor.  

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Math Department Electives
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ADVANCED ALGEBRA - GR 11-12, SEM/YEAR

In this course students will extend their knowledge of topics from Integrated Math 3.  Specific attention is paid to Composition and Inverses of Functions, applications and graphing of Trigonometric Functions, Trigonometric Identities, and Conic Sections.  Additional topics include Complex Numbers, Polar Equations and Graphs, applications of Logarithmic and Exponential Functions, Vectors, and Parametric Equations.  

 

CALCULUS HONORS - GR 12, SEMESTER

In this course, students will begin their study of calculus topics including Limits, Continuity, Derivatives, Integrals, Sequences and Series.  Each topic will be studies at an abstract level as well as with real life applications.  Students who would like an introduction to Calculus but who do not intend to take the AP exam should sign up for this course.  Graphing Calculators are required in this course.  Prerequisite:  Completion of Pre-calculus or Special Permission from the math department liaison and school counselor.

 

ADVANCED PLACEMENT CALCULUS AB - GR 12, YEAR

In this course students will continue their study of Calculus topics including Limits, Continuity, Derivatives, Integrals, Sequences, and Series.  Each topic will be studied on an abstract level as well as with real life applications in order to prepare students for success in taking the College Board’s AP Calculus AB test in May.  Graphing Calculators are required in this course.  Prerequisite:  Completion of Pre-Calculus or Special Permission from the math department liaison and school counselor.

 

MATHEMATICAL EXCURSIONS CP - GR 11-12, YEAR

In this course students will study topics such as logical reasoning, numeration systems, graph theory, mathematics of finance, and statistics.  Applications include a study of cryptography, banking, credit cards, stocks, and home ownership.  Where appropriate, a history of mathematics and important contributors will be addressed.  This course will incorporate many project based applications of the topics being studied.  Graphing Calculators are used in this course where appropriate.  Prerequisite:  Completion of Integrated 2 or Special Permission. (Offered alternate years with Discrete Math CP)

 

DISCRETE MATHMATICS CP - GR 11-12, YEAR

In this course students will study topics such as problem solving with patterns, games, puzzles, and equations, set theory, number theory, counting techniques, probability, and voting methods.  Applications include analyzing the mathematics of card games, genetics and heredity, the stock market, and election return analysis.  Where appropriate, a history of mathematics and important contributors will be addressed.  This course will incorporate many project based applications of the topics being studied.  Graphing Calculators are used in this course where appropriate.  Prerequisite:  Completion of Integrated 2 or Special Permission.  (Offered alternate years with Mathematical Excursions CP)

 

STATISTICS - GR 11-12, YEAR

This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.  Students will gain experience with data exploration, sampling and experimentation, modeling and statistical inference.  As part of the course, students will design experiments and studies to collect data and analyze by identifying patterns, important parameters and simulating using mathematical models.  Prerequisite:  Completion of Integrated 3 or Special Permission from the math department liaison and school counselor.

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141 Washington Street | Phone: 978-772-8600
1 Hospital Rd | Phone: (978) 772-8600
115 Washington Street | Phone: (978) 772-8600
34 Lancaster Road | Phone: (978) 772-8600