Department Chair: Ms. Eliza Pyliotis
Department Chair: Ms. Eliza Pyliotis
The mission of the Portsmouth High School Mathematics & Computer Science Department is to provide students with an educational experience that helps prepare students for successful roles in an ever changing society. Students are challenged to develop skills in analysis, reasoning, collaborative learning, and verbal articulation of the mathematical, computer science, and business concepts to which they are introduced. We maintain high academic expectations for all our students, make meaningful use of in person classroom experiences, and encourage all students to achieve their full potential.
Analyze math information and demonstrate acquired math knowledge and skills through formative and summative assessments – including comprehensive course assessments (CCAs), oral participation and projects.
Solve math problems numerically, algebraically, geometrically and graphically.
Communicate both independently and cooperatively to logically organize the problem solving process.
Demonstrate proper techniques and strategies, utilizing technology, for effective problem solving.
Use mathematical terminology in oral and written explanations.
Access and gather mathematical information through the use of various technologies.
Expectation 2: Utilize effective problem solving strategies
** Students should be aware that exceptions to sequences and recommendations are discouraged. However, exceptions are allowed for valid reasons and with the approval of the Department Chairperson. Any student wishing to enroll in two math courses simultaneously must have teacher and Department Chairperson approval.
(1218) 1 credit
Full Year 🧮 Sample Syllabus
Algebra 1 will cover the Common Core State Standards that pertain to Algebra 1. Topics may include, but are not limited to: writing and simplifying expressions; solving, graphing, and writing linear, exponential, and quadratic equations, inequalities and functions; solving systems of equations and graphing systems of inequalities; simplifying polynomial expressions; factoring polynomial expressions; and probability and data analysis. This course is intended for students who wish to cover the standards for Algebra 1 at a typical pace and level of rigor.
Recommendation: Teacher recommendation.
(1227) 1 credit
Full Year 🧮 Sample Syllabus
Honors Geometry is for students who have superior ability in math as well as a sincere interest in math and a willingness to work. Honors Geometry will cover the Common Core State Standards that pertain to Geometry and additional geometric concepts to provide a solid foundation for AP math courses. Honors Geometry will cover topics that may include, but are not limited to: Geometric Structure, Congruence and Similarity, Two – and Three – Dimensional Measurement, with an emphasis on formal proofs. Honors Geometry proceeds at a faster pace and tackles more difficult problems to provide the necessary foundation for success in AP math courses.
Recommendation: A in Algebra 1 and teacher recommendation.
(1228) 1 credit
Full Year 🧮 Sample Syllabus
Geometry will continue to implement the Geometry Common Core Curriculum. Topics may include, but are not limited to: Lines and Angles, Polygons, Circles, Transformations, Pythagorean Theorem, Area, Volume, Congruency, Similarity, and Trigonometry. Algebra 2 and Geometry may be taken simultaneously by sophomores if the student is willing to work very hard and has at least an A in Algebra 1. The Department Chairperson must approve this option. This course is designed for students seeking a comprehensive understanding of Geometry, proceeding at a typical pace and adhering to a standard level of academic rigor.
Recommendation: B in Algebra 1 and teacher recommendation.
(1229) 1 credit
Full Year 🧮 Sample Syllabus
Geometry (1229) will continue to implement the Geometry Common Core Curriculum. Topics may include, but are not limited to: Lines and Angles, Polygons, Circles, Transformations, Pythagorean Theorem, Area, Volume, Congruency, Similarity, and Trigonometry. This course is tailored for students desiring to explore Geometry at a level consistent with established standards. Supplementary support is offered to aid students in their understanding and mastery of the content.
Recommendation: Successful completion of Algebra 1
(1237) 1 credit
Full Year 🧮 Sample Syllabus
Algebra II Honors is for students who have superior ability in math as well as a sincere interest in math and a willingness to work. The major topics include: linear systems, quadratic functions and equations including simplifying radicals and operations with complex numbers, polynomial functions and equations, rational expressions and equations, rational exponents. There is a strong focus on work with fractions throughout the course. Algebra 2 Honors proceeds at a faster pace and tackles more difficult problems to provide the necessary foundation for success in AP Calculus.
Recommendation: B or higher in Geometry Honors and teacher recommendation.
(1238) 1 credit
Full Year 🧮 Sample Syllabus
Algebra II will continue to implement the Algebra II Common Core Curriculum. Topics may include, but are not limited to: Linear Systems, Quadratic Functions and equations, Polynomial Functions and equations, Rational Functions and equations, Radical Functions and equations, Exponential and Logarithmic Functions and equations, Trigonometric Functions and equations, and Probability and Statistics. This course is designed for students seeking a comprehensive understanding of Algebra II, proceeding at a typical pace and adhering to a standard level of academic rigor. The successful completion of Algebra II 1238 establishes a trajectory for students to enroll in Pre-Calculus the following academic year.
Recommendation: B- in both Algebra 1 and Geometry, C or higher in Geometry Honors, and teacher recommendation.
(1239) 1 credit
Full Year 🧮 Sample Syllabus
Algebra II (1239) will continue to implement the Algebra II Common Core Curriculum. Topics may include, but are not limited to: Linear Systems, Quadratic Functions and equations, Polynomial Functions and equations, Rational Functions and equations, Radical Functions and equations, Exponential and Logarithmic Functions and equations, Trigonometric Functions and equations, and Probability and Statistics. This course is tailored for students desiring to explore Algebra II at a level consistent with established standards. Supplementary support is offered to aid students in their understanding and mastery of the content. This course is designed to prepare students for RIDE approved advanced mathematics courses including Probability and Statistics, and Discrete Mathematics.
Recommendation: Successful completion of Algebra 1 and Geometry
(1240) 1 credit
Full Year 🧮 Sample Syllabus
Discrete Mathematics is designed in a way that promotes active learning, critical thinking, and fully-engaged student participation. Students will see the connections among mathematical topics and real-life events and situations, while sharpening their problem solving, mathematical reasoning, and communication skills. Topics may include but are not limited to Election Theory, Fair Division, Matrix Operations and Applications, Graphs and their Applications, Counting and Probability, and Recursion.
Recommendation: Successful completion of Algebra II. This course is intended for seniors.
(1258) 1 credit
Full Year 📚 Sample Syllabus
This course is designed to provide students an additional year to improve and enhance their skills. This course covers; scientific notation; formulas and literal equations; slope, intercepts, and equations of lines; graphs of linear and quadratic functions and linear inequalities; solving systems of linear equations; polynomials, products, and factors; roots, rational exponents, and complex numbers; rational expressions; solving linear, quadratic, and higher order equations, solving linear inequalities; into to exponential and logarithmic functions, and applied problem solving. Students who satisfactorily complete this course may select Pre-Calculus as a subsequent course of study. Successful completion of this course will earn students credit for Southern Maine Community College’s Math 140. Students and their families are financially responsible to obtain the 3 credits from SMCC.
Recommendation: This course is open to all students in Grades 11 or 12 who have at least a C average in Algebra 2 and teacher recommendation.
(1267) 1 credit
Full Year 📊 💰 📚 Sample Syllabus
* This is an elective course and may not satisfy the requirement for some colleges that require four math credits.
Financial Algebra is a college-preparatory mathematics course, aligned to the Common Core Standards, which uses concepts from Algebra I, Algebra II, and Geometry to provide the tools to become a financially responsible young adult and to solve financial problems that occur in everyday life. The course will explore the stock market, starting a business, the various banking services, consumer credit, automobile ownership, employment basics, income taxes, independent living, retirement planning, and preparing a budget. It is a mathematically focused, algebra-based course that is highly applications-oriented. Successful completion of this course will earn students credit for Southern Maine Community College’s Business 115. Students and their families are financially responsible to obtain the 3 credits from SMCC.
Recommendation: Successful completion of Algebra 2 and teacher recommendation.
(1268) 0.5 credit
Semester 💰 Sample Syllabus
Personal Finance and Investments will provide students with the tools to become a financially responsible young adult and to solve financial problems that occur in everyday life. Based on the components of financial planning, students will establish short and long term goals, determine discretionary income, understand the mechanics of establishing good credit, calculate federal income taxes, and develop a personal financial plan with the goal of budgeting towards improved cash savings. Banking investments, employment and taxes, consumer credit, and the stock market are all areas of strong focus in this course. Skills acquired in this course can also help prepare students planning a career in finance.
* This course satisfies the Financial Literacy Requirement for the Class of 2024 and beyond.*
Open to grades 9-12
(1277) 1 credit
Full Year 🧮 📚 Sample Syllabus
AP Statistics will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes. These themes are Exploring Data: Describing patterns and departures from patterns; Sampling and Experimentation: Planning and conducting a study: Anticipating Patterns: Exploring random phenomena using probability and simulation: Statistical Inference: Estimating population parameters and testing hypotheses. This course may be taken at any time after the completion of Algebra 2 and can be taken as an additional math elective or as a fourth year of math. Students taking this course will be prepared for the Advanced Placement Exam and are expected to take it.
Recommendation: Enrolled in Algebra 2 Honors, B in Algebra 2 and teacher recommendation
(1278) 1 credit
Full Year 🧮 Sample Syllabus
Statistics is a data driven workshop based course taught using an inquiry approach. Statistic students learn the following major topics: distribution, comparisons, and relationships, collecting data, randomness in data and inferences from data. This course can be taken as an additional math elective or as a fourth year of math.
Recommendation: Successful completion of Geometry and Algebra 2.
(1288) 1 credit
Full Year 🧮 Sample Syllabus
Pre-Calculus is the study of Trigonometry and Analytic Geometry. The major topics are: linear relations and functions, the trigonometric functions, systems of equations and inequalities, the families of graphs, polynomial and rational functions, graphs and inverses of trigonometric functions, trigonometric identities and equations, logarithmic functions.
Recommendation: B- in Algebra 2 and teacher recommendation.
(1287) 1 credit
Full Year 🧮 Sample Syllabus
Pre-Calculus Honors is for those students who have superior ability in mathematics as well as a sincere interest in math and a willingness to work. The course covers topics that may include but are not limited to the nature of graphs, rational functions, exponential and logarithmic functions, trigonometric functions and graphs, trigonometric equations, and conic sections. Algebra skills necessary for success in AP Calculus are embedded throughout the year. Honors Pre-Calculus proceeds at a faster pace and goes more in depth to provide the necessary foundation for success in AP Calculus.
Recommendation: A- in Geometry or B or higher in Honors Geometry, A in Algebra 2 or a B or higher in Algebra 2 Honors and recommendation from Algebra 2 or Algebra 2 Honors teacher.
(1298) 1 credit
Full Year 🧮 📚 Sample Syllabus
AB Calculus is designed for students who are planning a scientific, mathematical or engineering program in college. Principles and the underlying concepts of analytic geometry are incorporated into the study of differential and integral calculus. Technology is incorporated into the instruction making the successful study of calculus realistic for the student. Topics include functions, limits and continuity, differentiation and applications, integration and applications, transcendental functions, and techniques of integration. This selection of topics meets the requirements set forth in the syllabus of the College Entrance Examination Board for the Advanced Placement examination (AB level). Students taking this course will be prepared for the Advanced Placement Exam and are expected to take it.
Recommendation: A- in Pre-Calculus or B+ in Pre-Calculus Honors and recommendation by Pre-Calculus or Pre-Calculus Honors teacher.
(1297) 2 credits
Two Period Full Year 🧮 📚 Sample Syllabus
Calculus BC is a course that meets on both A and B days and is designed for students who are planning a scientific, mathematical or engineering program in college. It includes all topics covered in Calculus AB plus additional topics including: parametric, polar, and vector functions, advanced differentiation and integration techniques, convergence, divergence, improper integrals, sequences and series. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB. This selection of topics meets the requirements set forth in the syllabus of the College Entrance Examination Board for the Advanced Placement examination (BC level). Students taking this course will be prepared for the Advanced Placement Exam and are expected to take it.
Recommendation: B+ in Pre-AP Calculus and the recommendation by Pre-Calculus or Pre-Calculus Honors teacher.
(1299) 1 credit
Full Year 🧮 Sample Syllabus
Calculus is a course designed for students who have successfully completed Pre-Calculus and wish to continue studying mathematics at a college level. Major topics learned are as follows: review of algebra, analytic geometry, and trigonometry, limits and continuity, derivatives and their applications to include powers, products, quotients, implicit relations, composite functions, transcendental functions, related rate problems, optimization, curve analysis, and an introduction to integration and applications.
Recommendation: B in Precalculus, C- in Pre-Calculus Honors and teacher recommendation
The CTE Academy for Business is a pathway designed for students interested in pursuing a career in business. Students will learn essential skills to be prepared to enter the workforce or attend a two or four year degree program in business. Students will learn to communicate effectively, solve problems critically, take initiative and manage their time on projects as well as demonstrate professionalism when working with peers and industry partners.
Level One: Introduction to Business & Marketing
Level Two: Personal Finance (EEP) (see math section above)
Level Three: Business Leadership & Entrepreneurship
(1203) 1 credit
Full Year 📊 Sample Syllabus
In this interesting and immersive introductory business course, students will develop the skills to be knowledgeable about the American business system, informed about the impacts of globalization, skillful in selecting goods and services, competent in managing personal and business affairs, and conversant in basic marketing principles that shape the business landscape. A marketing plan and its importance to the short and long-term goals of a company will be explored along with the impact marketing has on the global stage. The “Four P’s” of the marketing mix, the impact of various demographics on marketing decisions, and the role of social media and digital marketing in society will be highlighted. Additionally, students who successfully complete the course will receive Microsoft Office certification.
Open to students in Grades 9 - 12.
(1205) 1 credit
Full Year 📊 Sample Syllabus
This project-based course is for any student who is interested in owning their own business. Students will learn how to develop business ventures from ideas into reality, developing knowledge of fundamental business principles and essential professional and interpersonal skills. This course takes students through the steps and considerations that entrepreneurs use to start up and successfully run a small business. Students will begin the course understanding entrepreneurial skills and ideas before learning how to research and analyze the market for a potential business opportunity, and analyze the success of a business venture. This course will allow students to explore their entrepreneurial interests by completing a business plan for a new and unique business that they come up with and compete for investment capital in the style of the popular show, “Shark Tank”.
Open to grades 11-12
Access and critically analyze information to answer questions and explore ideas
Solve problems through prioritizing and planning for results
Write and speak proficiently for a variety of audiences and purposes
Communicate effectively in a variety of formats
Interpret and design visual messages for specific purposes
Engage in work with integrity, both independently and collaboratively
Demonstrate knowledge and skills through the use of technology
Demonstrate evidence of analysis, synthesis and evaluation through the creative process
Demonstrate proper techniques and strategies, utilizing technology, for effective problem solving.
Effectively present and explain the process, planning and problem solving techniques used in the creation of a technology based project
Create physical and digital products that demonstrate acquired knowledge and skills
Expectation 2: Utilize effective problem solving strategies
Expectation 5: Interpret and design visual messages for specific purposes
Expectation 7: Use technology to discover and demonstrate knowledge
(1207) 0.5 credit
Semester 🌐 📚 Sample Syllabus
Intro To Computing and Data Science (ICDS) is a one semester course for all students (not just those interested in computer science as a career) that introduces computer programming in an engaging, fun, creative way and provides the computational thinking skills of programming, algorithm development, simulation and data analysis that can be used in other classes, such as History and Science classes. Students will learn about Graphic Design, Google Sites and Google Forms, Web Programming with HTML, Simulation Programming, Working with Spreadsheets, and ways to Obtain, Clean, Analyze, Summarize, and Represent Data effectively.
In addition to meeting the proficiency graduation requirement in computer science, this ICDS course can earn students (who elect to do so) 4 URI college credits through the URI CS Concurrent Enrollment Program. Students must be in good academic standing to be eligible for URI credit. As a result, this class is available to Freshman in their second semester only. Sophomores, Juniors, and Seniors may take this course at any time.
(1505) 0.5 credit
Semester 🌐
This entry-level course is designed for students who are interested in exploring computer science and programming. The curriculum provides instruction in programming through drag and drop block programming using Scratch, Visual Basic, and MIT App Inventor. Students will explore coding concepts such as conditional statements, functions and looping, data types, literals, variables and storing and calculating data. An emphasis will be placed on creating and programming simple Android applications.
Prerequisite: Completion of Algebra 1
(1508) 0.5 credit
Semester 🌐 💻 Sample Syllabus
This semester course is designed for incoming students to meet Rhode Island’s computer science proficiency standards. The topics in this course will expose students to various aspects of computer science, particularly: digital literacy, systems and networks, cybersecurity, responsible computing and society, data and analysis, and computational thinking and programming. Emphasis will be placed on student-centered learning activities in line with Rhode Island, CSTA, and ISTE standards. This hands-on class will prepare students for success in other computer science courses. Successful completion of this course fulfills the “proficiency in computer science” graduation requirement. This course is open to all students Grades 9 -12.
(1509) 0.5 credit
Semester 🌐 Sample Syllabus
Beginning with an introduction to Hypertext Markup Language (HTML), the student will learn to make his/her own web pages. Once the concepts of HTML have been mastered, students will explore the use of Cascading Style Sheets to control the layout, add and edit colors and images. Students who successfully complete this course may go on to Advanced Web Page Development.
(1510) 0.5 credit
Semester 🌐
Students will explore advanced Web Page development concepts such as web design for mobile or tablet devices. The primary emphasis of this class will be to maintain and update a live website for a community organization. The balance of the class will be devoted to developing skills using various Web Page utilities. This course may be repeated for additional credit.
Recommendation: Completion of Web Page Development with a grade of B.
(1520) 1 credit
Full Year 🌐 💻 📚
AP Computer Science Principles (EEP) is a full-year, comprehensive, entry-level course that introduces students to the foundations of modern computing. The course covers a broad range of topics that make up computing such as programming, algorithms, the Internet, big data, digital privacy and security, and the societal impacts of computing. The code.org curriculum, which the course is based upon, is designed around the AP Computer Science Principles Framework and prepares students to take the AP Computer Science Principles(CSP) exam and to complete the AP CSP Performance Tasks. Students in good standing in the course may concurrently enroll in the University of Rhode Island Course: CSC106- The Joy of Programming for 4 credits for the spring semester. Successful completion of this course meets the CS proficiency standards.
(1515) 0.5 credit
Semester 🌐 Sample Syllabus
This course is designed for students who wish to begin their studies in computer programming using the Java programming language. In this course, fundamental programming concepts will be covered. This course will provide the students with traditional procedural programming skills, which the student will apply in creating various programming solutions. This course is designed to prepare the student to successfully enroll in AP Computer Science (JAVA).
(1516) 1 credit
Full Year 🌐 💻 📚 Sample Syllabus
This rigorous course is designed for the dedicated programming student who wishes to receive Advanced Placement credit by successfully completing the required College Board’s Advanced Placement Exam in Computer Science in the Java language. Procedural and Object Oriented Programming will be applied to solve various traditional programming exercises as well as to engineer real world solutions. This course can earn students in good standing (GPA > 3.0) 4 URI college credits through URI's CS concurrent enrollment program. This course does not meet the state proficiency requirements.
Recommendation: Completion of Introduction to Programming (Java) with Visual Basic with a grade of B or better.