# Mathematics

The goal of the NHS mathematics program is to fully develop the mathematical abilities of our students. All courses are designed to increase reasoning skills, strengthen problem‐solving abilities, and promote an understanding of the power of mathematics. Students will develop inquiry skills and the habits of planning and perseverance. The ultimate goal of the program is to graduate individuals who are quantitatively literate and who are ready to successfully handle quantitative aspects in the real-world. In all math courses, students are expected to clearly explain and justify their problem‐solving strategies.

Cooperative learning, group projects, as well as individual work, will be used to guide, practice and assess our students' ability and progress. Students will use technology, in the form of graphing calculators and computers, for problem solving and to aid in the discovery of important concepts.

### Math Courses

**ALGEBRA 1B 9-10 **

**1 credit **

In Algebra 1B students will complete the 2 year sequence covering the same content of Algebra I; however, extra emphasis will be placed on the development of prerequisite skills and problem solving strategies in order to ensure all students can successfully master the concepts of Algebra. In this course, based on a State Department of Education approved curriculum consistent with the Common Core Standards, students will learn through cooperative investigations of the major topics of Algebra. Student literacy in the structure and application of Algebra is the goal of the course. Topics include: functions, linear equations in one and two variables, systems of linear equations, polynomials, quadratic equations, absolute value, and exponents. **No Prerequisite Required College Prep**

**ALGEBRA I 9**

**1 credit**

In this full-year course based on a State Department of Education approved curriculum consistent with the Common Core Standards, students will learn through cooperative investigations of the major topics of Algebra. Student literacy in the structure and application of Algebra is the goal of the course. Topics include: functions, linear equations in one and two variables, systems of linear equations, polynomials, quadratic equations, absolute value, and exponents. **No Prerequisite Required College Prep**

**GEOMETRY 9-12**

**1 credit **

Geometry is a full-year course designed to increase the students' ability to reason intuitively, inductively, and deductively as they explore two and three‐dimensional aspects of the world around them. Student learning in this course is investigative and cooperative with a heavy emphasis on data gathering, conjecture, and validation. Students will use construction techniques, calculators, computers, and other data producing tools to develop the structure of Geometry. Topics of study include: properties of lines, angles, polygons, circles, parallel lines, congruent figures, similar figures, special right triangles, area, and volume. The honors course is designed and implemented so that the depth of the topics discussed in the course surpass that of the college prep course to include the following: extensions of learning, accelerated pacing, greater complexity in topics, and greater responsibility, creativity, and reflection on the part of the students as their thinking and feelings are challenged. **Prerequisites: Algebra I or Algebra 1A/1B Honors or College Prep**

**ALGEBRA II 10-12**

**1 credit **

Students in this full-year Algebra II course will further their study of Algebra through analysis of non-linear function and their graphical representations. Topics include: graphical modeling, interpreting graphs, systems of equations and inequalities, quadratic functions, exponents and radicals, exponential and logarithmic functions, conic sections, probability, and some aspects of one and two variable statistics. The honors course is designed and implemented so that the depth of the topics discussed in the course surpass that of the college prep course to include the following: extensions of learning, accelerated pacing, greater complexity in topics, and greater responsibility, creativity, and reflection on the part of the students as their thinking and feelings are challenged. **Prerequisites: Algebra I or Algebra 1A/1B Honors or College Prep**

**FUNCTIONS, STATISTICS, & TRIGONOMETRY 11-12**

**1 credit **

Functions, Statistics, & Trigonometry is a full-year course geared toward increasing the number of students who take mathematics beyond Algebra. Students will engage in an exploration of topics including the study of linear, quadratic, exponential, logarithmic, and trigonometric functions, as well as introductory concepts in statistics and probability. This course is appropriate for students going into numerous career paths including, but not limited to business, social sciences, medical fields, and engineering. **Prerequisites: Algebra I or Algebra 1A/1B College Prep**

**PROBABILITY & STATISTICS 11-12**

**1 credit **

Probability & Statistics is a full‐year course designed to introduce students to the fields of mathematics which deal with the study of purely chance phenomena (probability) and the science of collecting, organizing, analyzing, and interpreting data(statistics). Through many hands on activities, students will study topics such as surveying and sampling, the normal distribution, probability theory, confidence intervals and hypothesis testing, and linear regression. There will be a heavy emphasis on problem solving and real world applications. **Prerequisites: Geometry or Functions, Statistics, and Trigonometry College Prep**

**PRE****‐****CALCULUS 11-12**

**1 credit **

Pre‐calculus is a full‐year course that specializes in the study of functions and is a necessary prerequisite to the study of Calculus. In the first semester, students will focus on a study of function analysis including polynomial, rational, exponential and logarithmic functions. In the second semester, students will focus on trigonometric functions. The honors course is designed and implemented so that the depth of the topics discussed in the course surpass that of the college prep course to include the following: extensions of learning, accelerated pacing, greater complexity in topics, and greater responsibility, creativity, and reflection on the part of the students as their thinking and feelings are challenged. **Prerequisites: Algebra II Honors or College Prep**

**CALCULUS 12**

**1 credit **

Calculus is a full‐year course designed to provide students with a basic understanding of Differential and Integral Calculus as it applies to business, finance, the social sciences, environmental sciences, physical sciences, etc. Students will engage in the study of Calculus through real‐world application and prepare for the post‐secondary study of Calculus. **Prerequisites: Pre-Calculus Honors**

**AP/UCONN ECE STATISTICS 11-12 **

**1 credit **

Advanced Placement/UConn ECE Statistics is a full‐year course designed to provide students a college course experience with multiple opportunities to earn college credits. Students will be able to obtain college credits through the University of Connecticut’s Early College Experience program and/or by successfully meeting a benchmark score on the Advanced Placement Exam. Students will explore topics such as interpreting and summarizing graphical displays of the distribution of univariate data, exploring bivariate data and frequency tables, data collection, surveying, sampling, randomized design, probability as relative frequency, normal distribution, confidence intervals, and tests of significance. The course is mechanically and conceptually challenging and students should be prepared to work hard consistently. **Prerequisites: Pre-Calculus (can be concurrent with) Advanced Placement**

**AP/UCONN ECE CALCULUS 12**

**1 credit **

Advanced Placement/UConn ECE Calculus is a full‐year course designed to provide students a college course experience with multiple opportunities to earn college credits. Students will be able to obtain college credits through the University of Connecticut’s Early College Experience program and/or by successfully meeting a benchmark score on the Advanced Placement Exam. Students will explore topics such as functional rate of change, limits (finite and infinite and limits at infinity), continuity, the theory and interpretation of derivatives, derivative procedures, differentiability, numerical differentiation, linearization, differentials, rate based analysis of functional behavior, optimization, related rates of change, anti‐differentiation, differential equations, accumulating rate of change, the theory and interpretation and application of definite integration, and numerical integration. The course is mechanically and conceptually challenging and students enrolling in it should be prepared to consistently work hard and strive for excellence. **Prerequisites: Pre-Calculus and department approval Advanced Placement**

**FINANCIAL MATHEMATICS 11-12 **

**1credit**

Financial Mathematics is an applied mathematics full-year course constructed around typical situations that the ordinary adult would encounter in life. Students will explore topics such as pay checks and deductions, keeping budgets, apartment rental leases, taxes, different types of interest (simple interest, discount interest, compound interest), investments, and buying on credit. Within this course students will have many opportunities to apply their knowledge of mathematics to real world situations. **Prerequisites: Algebra I College Prep**

**COMPUTER PROGRAMMING (with Mathematical Modeling) 11-12**

**.5 credit **

Computer Programming (with Mathematical Modeling) is a half-year course that offers an introduction to the theory and practice of developing computer programs with an emphasis on techniques of program development steeped in object-oriented thinking. Many of the programs will be geared toward mathematical processes, and thus, this course will include a heavy math component. Students will explore topics such as control structures, input/output, loops, objects, classes, inheritance, simple data structures, and basic concepts of software development. The programming language used in the course is JAVA. **Prerequisites: Algebra 2(can be concurrent with) College Prep**

**AP COMPUTER SCIENCE A ****NEW FOR 2017-2018!** ** 11-12**

**1 credit **

The AP Computer Science A 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. Students will focus on both object-oriented and imperative problem solving and design. The AP Computer Science A course curriculum is compatible with many CS1 courses in college and universities. The programming language used in the course is JAVA. **Prerequisites: Completion of Algebra 2 Advanced Placement**

**COMPUTER-AIDED DRAFTING 10-12 **

**.5 credit **

Computer-Aided Drafting is used by designers and manufacturers in virtually every industry to create engineering design solutions. In this half-year course, students are introduced to engineering, learning the basics of CAD software: creating points, lines, other geometric forms, isometric drawings, and 3D models. Students will learn how to translate initial concepts into functional designs and 3D walkthroughs and explore career options in this hands-on introductory-level course. **Prerequisites: Geometry (can be concurrent with*) College Prep *Semester 2 only**