 Barnstable High School
 Course Offerings
 Course Descriptions

PreAlgebra  2354
Grade 8  College Prep
This course builds on students’ previously developed arithmetic skills and expands their algebraic thinking skills to provide students with a solid foundation for Algebra 1 and beyond. There are three critical areas of focus in PreAlgebra: (1) expressions and equations; (2) introduction to functions; and (3) 2 and 3dimensional geometry. Through these areas of focus, students will explore slope as a rate of change; writing and solving linear equations and systems of equations; multiple representations of functions; angle relationships related to parallel lines and triangles; and using the Pythagorean Theorem to analyze various geometric figures on the coordinate plane.Algebra  Grade 8  2355
Grade 8  Honors  1 Credit
Prerequisite: Completion of 7^{th} grade PreAlgebra with a content grade of A or better, effort grade of 3 or better, and teacher recommendation.This course is intended to prepare students for further study in Geometry and Algebra II. This course will focus on five key areas: (1) linear equations and inequalities; (2) analyzing, solving and using functions (linear, exponential and quadratic); (3) extending the laws of exponents to square and cube roots; (4) 2 and 3dimensional geometry; and (5) applying linear models to data that represent a linear trend. Students will interpret and translate among various forms of linear equations and inequalities; interpret functions that are represented graphically, numerically, symbolically, and verbally; solve systems of equations and inequalities that include quadratic expressions; compare quadratic functions with linear and exponential functions; angle relationships related to parallel lines and triangles; and using the Pythagorean Theorem to analyze various geometric figures on the coordinate plane; and use regression techniques to describe linear relationships.
Advanced Algebra 1/Algebra 2  2356
Grade 8  Honors  1 Credit
Prerequisite: Teacher recommendation and score of 90% or better on departmental placement test.This course is designed for students with demonstrated proficiency of key Algebra 1 concepts, in particular, writing and solving systems of linear equations; analyzing and interpreting multiple representations of functions; computing fluently within the real number system; and applying properties of exponents and radicals. Students will further develop their understanding of these concepts, and extend these topics to include systems of nonlinear equations; logarithmic, polynomial, rational, radical, and, trigonometric functions; and the complex number system.
Algebra I  0310
Grade 9  Honors  1 Credit
Prerequisite: Completion of PreAlgebra with a recommended grade of B+ or better and teacher recommendation.The purpose of this course is to formalize and extend the mathematics that students learned in the middle grades and prepare students for further study in Geometry and Algebra II. This course will focus on four key areas: (1) linear equations and inequalities; (2) analyzing, solving and using functions (linear, exponential and quadratic); (3) extending the laws of exponents to square and cube roots; and (4) applying linear models to data that represent a linear trend. Students will interpret and translate among various forms of linear equations and inequalities; interpret functions that are represented graphically, numerically, symbolically, and verbally; solve systems of equations and inequalities that include quadratic expressions; compare quadratic functions with linear and exponential functions; and use regression techniques to describe linear relationships.
Algebra I  0302
Grade 9  College Prep  1 Credit
Prerequisite: Completion of PreAlgebra with a recommended grade of C or better or completion of Grade 8 Algebra.The purpose of this course is to formalize and extend the mathematics that students learned in the middle grades and prepare students for further study in Geometry and Algebra II. This course will focus on four key areas: (1) linear equations and inequalities; (2) analyzing, solving and using functions (linear, exponential and quadratic); (3) extending the laws of exponents to square and cube roots; and (4) applying linear models to data that represent a linear trend. Students will interpret and translate among various forms of linear equations and inequalities; interpret functions that are represented graphically, numerically, symbolically, and verbally; solve systems of equations and inequalities that include quadratic expressions; write and solve exponential equations; and use graphical representations to make judgments about models. Students who pass the course with a final grade below C will be required to take Intermediate Algebra prior to taking Algebra 2.
Algebra I  0316
Grade 9  College Prep 1  1 Credit
Prerequisite: Completion of PreAlgebra and recommendation of 8th grade math teacher.The purpose of this course is to formalize and extend the mathematics that students learned in the middle grades and prepare students for further study in Geometry and Algebra II. This course will focus on four key areas: (1) linear equations and inequalities; (2) analyzing, solving and using functions (linear, exponential and quadratic); (3) extending the laws of exponents to square and cube roots; and (4) applying linear models to data that represent a linear trend. Students will interpret and translate among various forms of linear equations and inequalities; interpret functions that are represented graphically, numerically, symbolically, and verbally; solve systems of equations and inequalities; write and solve both quadratic and exponential equations; and use graphical representations to make judgments about models. Students who pass the course with a final grade below C will be required to take Intermediate Algebra prior to taking Algebra 2.
This course does not satisfy NCAA eligibility requirements.Integrated Geometry  0313
Grades 910  College Prep  1 Credit
Prerequisite: Teacher recommendation and completion of Algebra 1 and/or Geometry.This course integrates the subjects of both Algebra and Geometry into one course. Students will learn the topics of Geometry while thoroughly reviewing essential Algebra concepts. The Geometry topics covered in this class include but are not limited to patterns and logic, parallel and perpendicular lines, triangle relationships, transformations, right triangle trigonometry and circles. This is a ‘hybrid’ course webbased with inclass teacher support. This allows students to progress through the units at their own pace.
Geometry  0330
Grades 910  Honors  1 Credit
Prerequisite: Completion of Algebra 1 Honors with a recommended grade of B or better or completion of Grade 8 Algebra with a recommended grade of B or better and recommendation of math teacher.This course will formalize and extend students’ geometric experiences from the middle grades. Students will explore geometric relationships through the perspective of geometric transformations. This course will focus on six key areas: (1) congruent triangles; (2) similar triangles and proportional reasoning; (3) circumference, area, and volume; (4) Pythagorean Theorem applied to the coordinate plane; (5) circles and special segments; and (6) geometric probability. Students will: explore triangle congruence through translations, reflections, and rotations; solve problems about triangles, quadrilaterals and other polygons; explain similarity through dilations; apply similarity in right triangles to understand right triangle trigonometry, special right triangles, and the Pythagorean Theorem; prove basic theorems about circles; compute and interpret theoretical and experimental probability; and use the coordinate system to verify properties of quadrilaterals and slopes of parallel and perpendicular lines.
Geometry  0332
Grades 910  College Prep  1 Credit
Prerequisite: Completion of Algebra 1 CP with a passing grade or completion of Grade 8 Algebra with a grade of C or better.This course will formalize and extend students’ geometric experiences from the middle grades. Students will explore geometric relationships through the perspective of geometric transformations. This course will focus on six key areas: (1) congruent triangles; (2) similar triangles and proportional reasoning; (3) circumference, area, and volume; (4) Pythagorean Theorem applied to the coordinate plane; (5) circles and special segments; and (6) geometric probability. Students will: explore triangle congruence through translations, reflections, and rotations; solve problems about triangles, quadrilaterals and other polygons; explain similarity through dilations; apply similarity in right triangles to special right triangles and the Pythagorean Theorem; compute and interpret theoretical and experimental probability; and use the coordinate system to verify properties of quadrilaterals and slopes of parallel and perpendicular lines.
Geometry  0334
Grades 10  College Prep 1  1 Credit
Prerequisite: Completion of Algebra 1 CP1 with a passing grade.This course will formalize and extend students’ geometric experiences from the middle grades. Students will explore geometric relationships through the perspective of geometric transformations. This course will focus on six key areas: (1) congruent triangles; (2) similar triangles and proportional reasoning; (3) circumference, area, and volume; (4) Pythagorean Theorem applied to the coordinate plane; (5) circles and special segments; and (6) geometric probability. Students will: explore triangle congruence through translations, reflections, and rotations; solve problems about triangles, quadrilaterals and other polygons; explain similarity through dilations; apply similarity in right triangles to special right triangles and the Pythagorean Theorem; compute theoretical and experimental probability; and use the coordinate system to verify slopes of parallel and perpendicular lines.
This course does not satisfy NCAA eligibility requirements.Intermediate Algebra  0314
Grades 1112  College Prep  1 Credit
Prerequisite: Completion of Geometry CP with a passing grade.Intermediate Algebra is required for students who did not achieve a C or better in Algebra 1. Topics in this course will include key topics from Algebra 1 and more advanced topics to prepare students for study in Algebra 2.
This course does not meet NCAA eligibility requirements.Intermediate Algebra  0315
Grade 11  College Prep 1  1 Credit
Prerequisite: Completion of Geometry CP with a passing grade.Intermediate Algebra is required for students who did not achieve a C or better in Algebra 1. This course will review key topics from Algebra 1 and introduce more advanced topics to prepare students for study in Algebra 2.
This course does not satisfy NCAA eligibility requirements.Algebra II  0319
Grades 1011  Honors  1 Credit
Prerequisite: Completion of Geometry Honors with a B or better.This course will extend students’ previous work with functions to include logarithmic, polynomial, rational and radical functions. The Algebra II curriculum will focus on four key areas: (1) relating arithmetic of rational expressions to arithmetic of rational numbers; (2) expanding understandings of functions and graphing to include trigonometric functions, (3) synthesizing and generalizing functions to extend understanding of exponential functions to logarithmic functions; and (4) relating data display and summary statistics to probability and exploring a variety of data collection methods. Students will: explore similarities between the system of polynomials and the system of integers; make connections between division of polynomials and division of multidigit integers; identify zeros of polynomials including complex zeros of quadratic polynomials; make connections between zeros of polynomials and solutions for polynomial equations; explore the effects of transformations on graphs of diverse functions; identify appropriate types of functions to model a situation; and identify different ways of collecting data and the role that experimental design plays in the collusions that can be drawn.
Algebra II  0317
Grades 1112  College Prep  1 Credit
Prerequisite: Completion of Geometry Honors or CP with a passing grade, and a C or better in Algebra 1 or a passing grade in Intermediate Algebra CP.This course will extend students’ previous work with functions to include logarithmic, polynomial, rational and radical functions. The Algebra II curriculum will focus on four key areas: (1) relating arithmetic of rational expressions to arithmetic of rational numbers; (2) expanding understandings of functions and graphing to include trigonometric functions, (3) synthesizing and generalizing functions to extend understanding of exponential functions to logarithmic functions; and (4) relating data display and summary statistics to probability and exploring a variety of data collection methods. Students will: explore the system of polynomials; multiply and divide polynomials; identify zeros of polynomials including complex zeros of quadratic polynomials; make connections between zeros of polynomials and solutions for polynomial equations; explore the effects of transformations on graphs of diverse functions; identify appropriate types of functions to model a situation; and identify different ways of collecting data and the role that experimental design plays in the collusions that can be drawn.
Algebra II  0309
Grades 1112  College Prep 1  1 Credit
Prerequisite: Completion of Geometry with a passing grade, and a C or better in Algebra 1 or a passing grade in Intermediate Algebra CP1.This course will extend students’ previous work with functions to include logarithmic, polynomial, rational and radical functions. The Algebra II curriculum will focus on four key areas: (1) relating arithmetic of rational expressions to arithmetic of rational numbers; (2) expanding understandings of functions and graphing to include trigonometric functions, (3) synthesizing and generalizing functions to extend understanding of exponential functions to logarithmic functions; and (4) relating data display and summary statistics to probability and exploring a variety of data collection methods. Students will: explore the system of polynomials; multiply and divide polynomials; identify zeros of polynomials including complex zeros of quadratic polynomials; make connections between zeros of polynomials and solutions for polynomial equations; identify appropriate types of functions to model a situation; and identify different ways of collecting data and the role that experimental design plays in the collusions that can be drawn.
This course does not meet NCAA eligibility requirements.Advanced PreCalculus  0353
Grades 1011  Honors  1 Credit
Prerequisite: Completion of Algebra II H with a recommended grade of A or better and/or teacher recommendation.This course is intended to prepare students for further study in Advanced Placement Calculus BC or Advanced Placement Calculus AB. Topics will include the study of polynomial, trigonometric and rational functions and their graphs, complex numbers, conic sections, logarithmic and exponential functions, and major concepts of differential calculus: limits and derivatives. These concepts will be presented geometrically, numerically, analytically and verbally. Emphasis will be placed on student use of graphing calculators as a method to reinforce concepts and interpret and confirm results. A College Board approved calculator is required (TI83 or TI84 recommended).
PreCalculus  0340
Grades 1112  Honors  1 Credit
Prerequisite: Completion of Algebra II Honors with a recommended grade of B or better.This course is intended to prepare students for further study in either Advanced Placement Calculus or Calculus Honors. Topics will include the study of graphs of functions, polynomial and rational functions, trigonometric functions and their graphs, vectors and parametric equations, complex numbers, conic sections, and exponential and logarithmic functions. Students will also be exposed to problems similar to those found on the SAT II Math subject test.
PreCalculus  0342
Grade 12  College Prep  1 Credit
Prerequisite: Completion of Algebra II with a recommended grade of C or better.This course is intended to prepare students for a future study of Calculus and will also provide students with the foundational skills necessary for other college level math courses. Topics covered in this course will include relations and functions with a concentration on absolute value, greatest integer, square root, rational, polynomial, trigonometric, exponential, and logarithmic functions along with their graphs and inverses. Also included in this course will be the study of conic sections, polar coordinates, and complex numbers.
Advanced Placement Statistics  0349
Grades 1112  Advanced Placement  1 Credit
Prerequisite: Completion of Algebra II Honors with a recommended grade of B or better or teacher recommendation.This course will follow the curriculum published by the College Board. Students will be introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The four main themes are: Exploring Data, Sampling and Experimentation, Anticipating Patterns, and Statistical Inference. These themes will be explored through the use of technology, projects and laboratories, cooperative group problemsolving and writing. A TI83 or TI84 is highly recommended for this course. Students will be required to take the Advanced Placement test in May. Please note that summer work will be assigned.
Statistics  0354
Grades 1112  Honors  1 Credit
Prerequisite: Completion of Algebra II H or PreCalculus H with a recommended grade of C or better or teacher recommendation.This course will introduce students to the major ideas of working with data using statistical analysis. Topics will include Gathering, Exploring, and Understanding Data, Exploring the Relationship between Variables, Anticipating Patterns, and Statistical Inferences. Students will be required to do projects and labs in addition to their regular classroom activities. In addition, the use of technology will be incorporated into the lessons. A TI83 or TI84 is highly recommended for this course.
Statistics  0362
Grade 12  College Prep  1 Credit
Prerequisite: Completion of Algebra II CP with a passing grade.This course is for students who plan to attend college for nonmath and science majors. Topics will include practical applications of data, graphing, probability, basic statistics, and experimental design. There will be a focus on projects directly related to the topics studied. This is an ideal course for students planning a career in business, psychology, political science, sociology, law, forensics, education, nursing, and other healthrelated fields.
Advanced Placement Calculus AB  0350
Grade 12  Advanced Placement  1 Credit
Prerequisite: Completion of PreCalculus Honors with a recommended B+ or better or teacher recommendation.AP Calculus AB is comparable to a first year calculus course offered at the college level. The course will develop students’ understanding of the major concepts of calculus – limits, derivatives and integrals and their Applications. These concepts will be presented geometrically, numerically, analytically and verbally. Students will be able to recognize the connection between these representations. Emphasis will be placed on student use of graphing calculators as a method to reinforce concepts, develop connections, and interpret and confirm results. A TI83 or TI84 is highly recommended for this course. Students will be required to take the Advanced Placement test in May. Please note that summer work will be assigned.
Advanced Placement Calculus BC  0351
Grade 12  Advanced Placement  1 Credit
Prerequisite: Completion of AP Calculus AB with a recommended grade of B or better or completion of Advanced PreCalculus Honors with a recommended grade of B+ or better or teacher recommendation.AP Calculus BC is an extension of AP Calculus AB, offering a review of the major topics from AP Calculus AB including limits, derivatives, and integrals. Additional topics will include advanced integration techniques and applications, polar, parametric and vector functions, polynomial approximations and series. Concepts, results and problems will be expressed graphically, numerically, analytically and verbally, to emphasize the connections among these representations. Students should be wellversed in the use of the graphing calculator. A TI83 or TI84 is highly recommended for this course. Students will be required to take the Advanced Placement Calculus BC test in May. Please note that summer work will be assigned.
Calculus  0352
Grade 12  Honors  1 Credit
Prerequisite: Completion of PreCalculus Honors with a recommended grade of B or better or teacher recommendation.This course is intended to prepare students for further study of mathematics at the college level. Topics will include derivatives and their applications, techniques of differentiation, limits, definite integrals, Fundamental Theorem of Calculus, rules of integration, and differential equations. There is extensive use of the graphing calculator in this course and it is recommended that students purchase their own TI84.
Foundations in College Mathematics  0338
Grade 12  College Prep  1 Credit
Prerequisite: Completion of Algebra II CP with a passing grade.This course will build on students’ mathematical skills in an effort to prepare them for college placement exams and further mathematical study at the college level. Students will develop a deeper understanding of the concepts taught with a focus on problem solving through realworld Applications. This course satisfies the requirements of a fourth year of math for students needing to satisfy their EPP (Educational Proficiency Plan.)
This course does not meet NCAA eligibility requirements.