Somerset Berkley Regional High School: Mathematics Department 

This course covers the definitions, postulates, and theorems of plane geometry using a rigorous approach. Plane geometry, deductive reasoning and logic, areas and volumes of the plane and solid figures are also covered. Solids and three-dimensional space is explored and developed including surface area and volume. There is a special emphasis on coordinate and transformational geometry. Right triangle trigonometry is introduced and explored. Students should have successfully completed Algebra 1. Students entering grade 9 who wish to take Honors Geometry must have successfully completed Algebra 1 in grade 8.

This course covers the definitions, postulates, and theorems of plane geometry using a rigorous approach. Plane geometry, deductive reasoning and logic, areas and volumes of the plane and solid figures are also covered. Solids and three-dimensional space is explored and developed including surface area and volume. There is a special emphasis on coordinate and transformational geometry. Right triangle trigonometry is introduced and explored. Students should have successfully completed Algebra 1. Students entering grade 9 who wish to take Honors Geometry must have successfully completed Algebra 1 in grade 8.

The concepts of algebra are expanded to include real and complex numbers, various functions, graphing, conic sections, all aspects of quadratic equations, varied applications of word problems, systems of equations, radical functions, polynomial functions, rational functions, exponentials and logarithms. Students should have successfully completed Algebra 1 and Geometry.

This course is designed to cover the syllabus for Advanced Placement Statistics as prescribed by the College Entrance Examination Board. Students are expected to take the AP Statistics exam in the spring when the course concludes. A TI-84 Plus CE is required for use in this course. Topics include exploring data, sampling and experimentation, anticipating patterns and statistical inference. Students should have successfully completed Geometry and should be taking or have taken Algebra 2.

It is in the Foundations of Algebra II course that students integrate and apply the mathematics they have learned from their earlier courses. The main focus is on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems. Students should have successfully completed Algebra 1 and Geometry.

The concepts of algebra are expanded to include real and complex numbers, various functions, graphing, conic sections, all aspects of quadratic equations, varied applications of word problems, systems of equations, radical functions, polynomial functions, rational functions, exponentials and logarithms. Students should have successfully completed Algebra 1 and Geometry.

In AP Precalculus, students explore everyday situations and phenomena using mathematical tools and lenses. Students study each function type through their graphical, numerical, verbal, and analytical representations and their applications in a variety of contexts. Students apply their understanding of functions by constructing and validating appropriate function models for scenarios, sets of conditions, and data sets, thereby gaining a deeper understanding of the nature and behavior of each function type. Prerequisite: Successful completion of Honors Algebra 2 and teacher recommendation.

This course includes a thorough study of functions, trigonometry, and other advanced topics. This course begins a study of mathematics that thoroughly combines algebra and geometry. Since functions are the foundation of calculus, the course covers rational, exponential, trigonometric and logarithmic functions. Other topics addressed include circular functions, identities, analytic geometry, complex numbers, polar coordinates, limits and series. Students should have successfully completed Algebra 2.

This course is designed to cover the syllabus for Advanced Placement Statistics as prescribed by the College Entrance Examination Board. Students are expected to take the AP Statistics exam in the spring when the course concludes. A TI-84 Plus CE is required for use in this course. Topics include exploring data, sampling and experimentation, anticipating patterns and statistical inference. Students should have successfully completed Geometry and should be taking or have taken Algebra 2.

In AP Precalculus, students explore everyday situations and phenomena using mathematical tools and lenses. Students study each function type through their graphical, numerical, verbal, and analytical representations and their applications in a variety of contexts. Students apply their understanding of functions by constructing and validating appropriate function models for scenarios, sets of conditions, and data sets, thereby gaining a deeper understanding of the nature and behavior of each function type. Prerequisite: Successful completion of Honors Algebra 2 and teacher recommendation.

This course includes a thorough study of functions, trigonometry, and other advanced topics. This course begins a study of mathematics that thoroughly combines algebra and geometry. Since functions are the foundation of calculus, the course covers rational, exponential, trigonometric and logarithmic functions. Other topics addressed include circular functions, identities, analytic geometry, complex numbers, polar coordinates, limits and series. Students should have successfully completed Algebra 2.

This course is designed to cover the syllabus for Advanced Placement Statistics as prescribed by the College Entrance Examination Board. Students are expected to take the AP Statistics exam in the spring when the course concludes. A TI-84 Plus CE is required for use in this course. Topics include exploring data, sampling and experimentation, anticipating patterns and statistical inference. Students should have successfully completed Geometry and should be taking or have taken Algebra 2.

This course is a multi-level offering with Advanced College Prep Statistics. The Honors section will have extra assignments and different assessments than the Advanced College prep course. This course specifically addresses the tenth and twelfth-grade Massachusetts Common Core Mathematics Frameworks in Data Analysis, Statistics, and Probability. Students enrolled in this course are assumed to have mastered the concepts outlined in the Algebra 2 standards of the Common Core curriculum frameworks. The purpose of this course is to present basic concepts and techniques for collecting and analyzing data, drawing conclusions, and making predictions. This course will assist in the preparation for college and potential mathematics entrance/placement exams. There will be many projects and case studies to enhance student learning. A scientific calculator is recommended for this course. Students should have successfully completed Algebra 2 or Model Math III.

This course is designed to cover the syllabus for Advanced Placement Calculus (AB) as prescribed by the College Entrance Examination Board. Students are expected to take the AB exam in the spring when the course concludes. A TI-84 Plus CE calculator, or the equivalent is required for use in this course. Topics include functions, limits, derivatives and their applications, integrals and their applications, parametric equations, polar coordinates, and infinite series. The philosophy and goals of Advanced Placement Calculus will set the direction for the entire course. The Rule of Four will be used to develop students’ understanding of the concepts of calculus. The Rule of Four is shorthand for the multi-representational approach to mathematics that encourages all the topics, results and discussion to be done verbally, analytically, numerically and graphically. Some topics from the BC syllabus will be covered, but preparation for the (AB) AP Calculus exam will be given. Students should have successfully completed Honors Pre-Calculus and have a teacher recommendation.