Mathematics/Computer Science

This rigorous course is for students who have a particularly strong mathematics background. This course delivers a full year honors curriculum in Algebra 1 and prepares students for Honors Geometry and Honors Algebra 2. Students are expected to study the topics of Algebra 1 at a faster pace and in greater depth and to complete more challenging problem sets and explorations. Emphasis will be placed on explaining their findings graphically, algebraically, numerically and verbally. This course incorporates the use of online resources throughout the year. Though students will be taught how to use their TI-84 Plus CE Graphing Calculator to solve problems and explore concepts, students will still be expected to solve problems with and without a calculator.

This course includes a review of the properties of real numbers, solving first degree equations and inequalities in one variable, fundamental operations of polynomials, exponents, and rational expressions, solving systems of equations and inequalities graphically and algebraically, an introduction to quadratic equations, their graphs, factoring and solving quadratics. Emphasis will be placed on recognizing patterns, graphic representations as well as algebraic representations. The course will include real world applications and the students will be asked to verbalize their understanding of the concepts. Students will be expected to solve problems with and without a calculator. This course incorporates the use of online resources throughout the year.

This course includes a review of the properties of real numbers, solving first degree equations and inequalities in one variable, fundamental operations of polynomials, exponents, and rational expressions, solving systems of equations and inequalities graphically and algebraically, an introduction to quadratic equations, their graphs, factoring and solving quadratics. Emphasis will be placed on recognizing patterns, graphic representations as well as algebraic representations. The course will include real world applications and the students will be asked to verbalize their understanding of the concepts. Students will be expected to solve problems with and without a calculator. This course incorporates the use of online resources throughout the year.

Prerequisite – Successful completion of Algebra I

This course is a study of Euclidean Geometry. Topics discussed include dimensional objects (lines, planes, polygons, circles, and polyhedrons), angular measurement, congruence, similarity, deductive and inductive reasoning, proofs, relational computations (perimeter, area, and volume), right triangle trigonometry, and practical applications. Algebraic concepts and techniques are integrated and emphasized through the course to aid in the understanding of geometric concepts and applications, and to reinforce proficiency in algebraic skills.

The TI-84 Plus CE Graphing Calculator and the software program GeoGebra will be used as tools throughout the year. This course also incorporates the use of online resources throughout the year.

Prerequisite – Successful completion of Algebra 1

This is an integrated approach to the study of Euclidean plane geometry. Extensive use is made of the techniques of analytic geometry in solving problems. Students continue to work on their algebra skills during this year.  Topics include: the study of inductive and deductive reasoning, parallelism, congruent figures, similarity, right triangle trigonometry, circles and polygons. Students will solve problems involving perimeter, area, and volume of two and three-dimensional figures.  The TI-84 Plus CE Graphing Calculator will be used as a tool during the year and students will use the computer as a tool in their investigations. This course incorporates the use of the e-text and online resources throughout the year.

Prerequisite – Successful completion of Algebra 1

This is an integrated approach to the study of Euclidean plane geometry. Extensive use is made of the techniques of analytic geometry in solving problems. Students continue to work on their algebra skills during this year.  Topics include: the study of inductive and deductive reasoning, parallelism, congruent figures, similarity, right triangle trigonometry, circles and polygons. Students will solve problems involving perimeter, area, and volume of two and three-dimensional figures.  The TI-84 Plus CE Graphing Calculator will be used as a tool during the year and students will use the computer as a tool in their investigations. This course incorporates the use of the e-text and online resources throughout the year.

Prerequisite – Successful completion of Algebra 1 and Geometry

This course reinforces and expands the knowledge and skills required to manipulate algebraic expressions and analyze graphically and algebraically a variety of functions. Topics will include: linear, absolute value, piecewise, quadratic, rational and higher degree polynomial functions. Topics also include: solutions to systems, matrices, complex numbers, probability and data analysis. Algebraic and Geometric concepts are examined as tools for modeling real-world situations and problem solving. Graphing is emphasized with students being introduced to the first seven parent functions. This course incorporates the use of the e-text and online resources throughout the year. Though students will be taught how to use their TI-84 Plus CE Graphing Calculator to solve problems and explore concepts, students will be expected to solve problems with and without a calculator.

Prerequisite – Successful completion of Algebra 1 and Geometry

This course reinforces and expands the knowledge and skills required to manipulate algebraic expressions and analyze graphically and algebraically a variety of functions. Topics will include: linear, absolute value, piecewise, quadratic, rational and higher degree polynomial functions. Topics also include: solutions to systems, matrices, complex numbers, probability and data analysis. Algebraic and Geometric concepts are examined as tools for modeling real-world situations and problem solving. Graphing is emphasized with students being introduced to the first seven parent functions. This course incorporates the use of the e-text and online resources throughout the year. Though students will be taught how to use their TI-84 Plus CE Graphing Calculator to solve problems and explore concepts, students will be expected to solve problems with and without a calculator.

Prerequisite – Successful completion of Algebra 1 and Geometry

This course reinforces and expands the knowledge and skills required to manipulate algebraic expressions and analyze graphically and algebraically a variety of functions. Topics will include: linear, quadratic, absolute value, piecewise, rational, higher degree polynomials and inverse functions. Topics also include: solutions to systems, matrices, complex numbers, probability and data analysis. Algebraic and Geometric concepts are examined as tools for modeling real-world situations and problem solving. Graphing is emphasized with students being introduced to the first seven parent functions. Challenging problem sets and explorations which focus on applications and different mathematical approaches will be given throughout the year. Emphasis will be placed on explaining their findings in writing, that is, emphasis will be placed on defending their findings graphically, algebraically, numerically and verbally. This course incorporates the use of the e-text and online resources throughout the year. Though students will be taught how to use their TI-84 Plus CE Graphing Calculator to solve problems and explore concepts, students will be expected to solve problems with and without a calculator.

Prerequisite – Successful completion of Algebra 2

This is a highly rigorous study of functions to prepare students for Advanced Placement Calculus or for any college-level calculus course. It includes extensive treatment of trigonometry and circular functions, piecewise, polynomial and rational functions, exponential and logarithmic functions, analytic geometry including polar coordinates and conic functions, sequences and series, data analysis and modeling and limits. The programmable graphing calculator is used as a tool throughout the year but assessments are both calculator and non-calculator based.

Prerequisite – Successful completion of Algebra 2

This course emphasizes the function concept to prepare students for a college level calculus or statistics course. Topics will include analytic geometry, quadratic, rational, piecewise, inverse, exponential, logarithmic, polynomial, and trigonometric functions, complex numbers, and conics. If time permits, this course will also include sequences and series. The TI-84 Plus CE Graphing Calculator is used as a tool throughout the year but assessments are both calculator and non-calculator based.

Prerequisite – Successful completion of Algebra 2

This course emphasizes the function concept to prepare students for a college level calculus or statistics course. Topics will include analytic geometry, quadratic, rational, piecewise, inverse, exponential, logarithmic, polynomial, and trigonometric functions, complex numbers, and conics. If time permits, this course will also include sequences and series. The TI-84 Plus CE Graphing Calculator is used as a tool throughout the year but assessments are both calculator and non-calculator based.

Prerequisite – Successful completion of Pre-Calculus

This course is part of the College Board AP Calculus program and follows its syllabus. Students will study differential and integral calculus and complete the topics usually studied in a one-semester, college calculus course. Topics to be treated in depth include: limits and continuity, the derivative, differentiation techniques and applications, indefinite and definite integrals, techniques of integration and applications of the definite integral, and solutions to differential equations. Problems will be approached numerically, graphically, analytically and verbally. Emphasis will be placed on solving each problem all four ways whenever possible. Students will use computer technology and the TI-84 Plus CE Graphing Calculator. Students are expected to solve problems with and without a calculator. Two mandatory extra sixty-minute classes per week are required for the entire school year until the AP examination in May. AP Calculus students are required to take the College Board Advanced Placement Examination in May.

Additional Requirements
AP Calculus will meet until 3:30 PM every time the class meets last period.  

Prerequisite – Successful completion of Pre-Calculus

This course will cover the same material as AP Calculus AB with the addition of the following topics: sequences, L’Hopital’s Rule, improper integrals, power series, Taylor Series, Taylor’s Theorem, radius of convergence, testing convergence, parametric functions, vectors in the plane, and polar functions. These additional topics will be covered as an independent study placing responsibility for learning these topics on the student.

Additional Requirements
AP Calculus will meet until 3:30 p.m. every time the class meets last period.  

Prerequisite – Successful completion of Pre-Calculus

Students will study differential and integral calculus and complete the topics usually studied in a one-semester, college calculus course. Topics to be treated in depth include: limits and continuity, the derivative, differentiation techniques and applications, with an introduction to indefinite and definite integrals, techniques of integration and applications of the definite integral, and solutions to differential equations. Problems will be approached numerically, graphically, analytically and verbally. Emphasis will be placed on solving each problem all four ways whenever possible. Students will use their TI-84 Plus CE Graphing Calculator. Students are expected to solve problems with and without a calculator.

Prerequisite – Successful completion of Algebra 2

AP Statistics is equivalent to a one-semester, introductory, non-calculus based college course in statistics. (At least one statistics course is typically required for majors such as engineering, psychology, sociology, health sciences, and business.) Students considering this course should have a strong background in Algebra 2 and have experienced success in an Honors English and/or History course. This course is part of the College Board Advanced Placement Program. It will follow the AP Statistics curriculum and syllabus and will prepare students to receive college credit and/or placement in mathematics. The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four conceptual themes: exploring data, planning a study, producing models using probability and statistics, and statistical inference. Unlike other math courses, this course includes a great deal of reading and writing. Students will be taught how to analyze statistical problems and not only develop the appropriate action but defend it in writing. During this course, students will use the capabilities of the TI-84 Plus CE Graphing Calculator and appropriate software to investigate, model, and solve problems. Two mandatory extra classes per week are required for the entire school year until the AP examination in May. AP Statistics students are required to take the College Board Advanced Placement Examination in May.

Prerequisite – Successful completion of Algebra 2

Honors Statistics will cover the same curriculum as the AP Statistics students except their assignments and assessments will be less intense than the AP students’ assignments and assessments and they will take a traditional final exam in June.

Prerequisite – Successful completion of Algebra 2

The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four conceptual themes:  exploring data, planning a study, producing models using probability and statistics, and statistical inference. Unlike other math courses, this course includes a great deal of reading and writing. Students will be taught how to analyze statistical problems and not only develop the appropriate action but defend it in writing. During this course, students will use the capabilities of the TI-84 Plus CE Graphing Calculator and appropriate software to investigate, model, and solve problems.  Students will create surveys, conduct surveys and use the tools presented in the course to help draw reasonable projections. Students will see how statistics are presented in the news, on TV, the web and in the newspaper. Students will analyze these presentations and discuss their validity. By the end of the course students will be able to analyze statistical presentations made in the news and recognize flaws and missing information critical to making valid conclusions and projections.

This class is based on the Microsoft TEALS Computer Science curriculum which is an introduction to the AP Computer Principles course. TEALS Introduction to Computer Science is an engaging course that explores a variety of basic computational thinking and programming concepts through a project-based learning environment.  TEALS is a unique program that partners professionals from the Computer Science industry who volunteer their time to co-teach in the classroom several times a week. TEALS volunteers make a lasting impact in their students’ lives as well as help shape students’ futures and career opportunities by providing them with computational knowledge and skills they wouldn’t otherwise have access to. The curriculum is based on the Beauty and Joy of Computing Curriculum developed at the University of California, Berkeley.  The students will construct programming applications using SNAP! programming language, use the problem-solving process as it relates to computer science and programming, design and implement creative solutions and artifacts through programming,   critique their computational work and the work of others,  and communicate computational thought processes, procedures, and results to others.

This course is designed to be the equivalent to a first semester introductory college computing course. In this course students will develop computational thinking skills vital for success across all disciplines, such as using computational tools to analyze and study data and working with large data sets to analyze, visualize and draw conclusions from trends. Students are encouraged to apply creative processes when developing computational artifacts and to think creatively when using computer software and other technology to explore questions that interest them. They will also develop effective communication and collaborative skills, working individually and collaboratively to solve problems, and discussing and writing about the importance of these problems and the impacts to their community, society and the world. Students will complete an in class long term assessment along with a college board exam in order to receive a score for AP credit.

*Taken from AP Computer Science Principles Course and Exam Description

AP Computer Science is equivalent to a first-semester, college-level course in computer science. This course introduces students to computer science with fundamental topics that include problem solving, design strategies and methodologies, organization of data (data structures), approaches to processing data (algorithms), analysis of potential solutions, and the ethical and social implications of computing. The course emphasizes both object-oriented and imperative problem solving and design using Java language. These techniques represent proven approaches for developing solutions that can scale from small, simple problems to large, complex problems. AP Computer Science includes a substantial laboratory component in which student’s design solutions to problems, express their solutions precisely in Java, test their solutions, identify and correct any errors and compare possible solutions. This course requires that solution of problems be written in the Java programming language. The AP Computer Science Exam covers a subset of Java.

*Taken from the College Board AP Computer Science Course Overview and Lab Requirement.