## Course Descriptions

**MATHEMATICS**

The mathematics curriculum provides a variety of courses designed to meet the needs for mathematical competency in both academic and vocational careers. All ninth grade students are required to take mathematics, and a student must earn a minimum of 3 credits in math in order to graduate. Most Coginchaug students take four years of mathematics. A-level courses are rigorous courses that place greater attention on proof and abstract thinking. B-level courses are designed for students with strong mathematical skills who plan to attend a four-year college. Courses in the C-sequence follow the same core curriculum as the B-level courses but emphasize basic skills and are designed for students who may attend a two- or four-year college. Courses in basic and applied mathematics are designed for the student who needs a review of basic math skills before taking a full year of algebra.

Ninth grade students are placed in a math course appropriate to their ability and career plans. Students who have not met the state goal on the mathematics section of the Connecticut Mastery Test are reviewed and placed in an appropriate math course.

**311 ALGEBRA I A**

**Credit 1.5, Prereq: Department approval**

This is a fast-paced and in-depth study of Algebra I that emphasizes an understanding of abstract concepts and their anticipated use in subsequent math courses. Topics include solving equations and inequalities in one variable, exponents and radicals, rational expressions, linear equations in two variables, quadratic equations, probability, and statistical analysis. Emphasis is placed on mathematical problem solving.

**312 ALGEBRA I B**

313 ALGEBRA I C

313 ALGEBRA I C

**Credit 1.5, Prereq: Department approval**

This is a college preparatory course in Algebra I which is the first in a three year sequence of courses that integrates algebra, geometry, data analysis, and probability and connects all these mathematical strands to real world applications. Topics in this course include statistical analysis, the laws of algebra, linear and non-linear functions, systems of equations, linear programming, and probability. The use of graphing calculators and computers is integrated throughout the curriculum.

**314 PRE-ALGEBRA**

**Credit 1, Prereq: Department approval**

Pre-Algebra provides a thorough introduction to the language and skills of algebra, plus a review of some arithmetic skills. Upon successful completion of this course, students are prepared to pursue a more detailed study of Algebra I and Geometry. The following topics are included: algebraic expressions and integers, linear equations and inequalities, fractions, decimals, percents, graphing, probability and data analysis, and basic geometry skills.

**315 APPLIED MATH**

Credit 1, Prereq: None

Credit 1, Prereq: None

Students begin with a review of basic mathematical skills. Attention is given to practical applications. Pre-algebra concepts and the use of calculators are introduced.

**321 GEOMETRY A**

Credit 1, Prereq: Department approval

Credit 1, Prereq: Department approval

Geometry is concerned with the properties of, measurement of, and relations between lines, angles, surfaces, and solids. Geometry A stresses logical thinking and proof, which require strength in critical thinking and sound study habits.

**322 GEOMETRY B**

323 GEOMETRY C

323 GEOMETRY C

Credit 1, Prereq: Minimum C- in Algebra I

Credit 1, Prereq: Minimum C- in Algebra I

This course follows Algebra I and is designed to develop the power to form logical deductions through a valid process of mathematical reasoning. The relationship of points, lines, and figures in a plane is integrated with the study of three-dimensional figures. Emphasis is placed on significant connections between geometry and the real world, as well as connections between geometry and other areas of mathematics such as algebra, trigonometry, and probability.

**325 ELEMENTS OF ALGEBRA AND GEOMETRY**

Credit 1, Prereq: Department approval

Credit 1, Prereq: Department approval

This course is intended for students who have already taken either Algebra I or Geometry and need further exposure to these topics before they continue to the next level of mathematics. It is also suited for students who need further work on the concepts emphasized on the Connecticut Academic Performance Test (CAPT). The following topics will be reviewed and expanded upon: Operations with integers and rational numbers; solution of linear equations and systems of linear equations; proportion and percent; similar polygons; area and volume; graphs; applications.

**331 ALGEBRA II A**

Credit 1, Prereq: Geometry and department approval

Credit 1, Prereq: Geometry and department approval

Algebra II reviews and extends concepts presented in Algebra I. The real number system is studied from a more advanced viewpoint, while new topics including solution of quadratics, complex numbers, logarithms, and series are introduced.

**332 ALGEBRA II B**

333 ALGEBRA II C

333 ALGEBRA II C

Credit 1, Prereq: Minimum C- in Geometry

Credit 1, Prereq: Minimum C- in Geometry

This course reviews and extends the concepts presented in Algebra I and Geometry. The concept of function is revisited and extended through a study of linear, quadratic, polynomial, exponential, logarithmic, and trigonometric functions. In addition, the study of the real number system is extended to include complex numbers. Students who have met the agreed-upon criteria may receive college credit from Middlesex Community College in our TECH PREP program for Algebra II.

**341 PRE-CALCULUS**

Credit 1, Prereq: Department approval

Credit 1, Prereq: Department approval

Pre-Calculus is a preparatory course for college calculus that focuses on the study of polynomial, rational, exponential, and logarithmic functions. This study of functions is intended to summarize important concepts and methods used in concert to prove significant theorems and to solve practical problems. In addition, the concept of limits is introduced, extending from intuitive ideas about limits to the knowledge of a generalized limit as it applies to sequences, series, and functions. Special attention is given to differentiation and integration. Trigonometry is a prerequisite to this course or it can be taken concurrently.

**342 TRIGONOMETRY**

Credit .5, Prereq: Department approval

Credit .5, Prereq: Department approval

This is a course in the study of the six circular functions (sine, cosine, tangent, cotangent, secant, and cosecant) and their use in solving right triangles. Additional topics include the Law of Sines, the Law of Cosines, vectors, and polar coordinates. This course must be taken concurrently with pre-calculus to prepare for the study of advanced mathematics and to elect AP Calculus.

**343 ADVANCED MATHEMATICS**

Credit 1, Prereq: Department approval

Credit 1, Prereq: Department approva

course begins with an in-depth study of trigonometry. Topics from Algebra II are reviewed and extended, including coordinate geometry, conic sections, rational, exponential, and logarithmic functions, sequences and series.

**345 PROBABILITY AND STATISTICS**

Credit .5, Prereq: Department approval

Credit .5, Prereq: Department approval

This course is an introductory course in probability theory and statistics. It is a course especially useful to college bound students who plan to further their studies in the sciences, engineering, or mathematics. For students who must take a semester of mathematics in college, but not calculus, this course is extremely useful. Probability deals with the laws of chance. Basic concepts of mathematical probability are studied, and investigations showing how probability is applied to every day life are made. Statistics is the science of collecting, organizing, and interpreting numerical data. Elementary statistical concepts are studied and applied to real life situations. Computers and graphing calculators are used to investigate concepts developed in the course and to aid in lengthy calculations.

**346 ADVANCED TOPICS IN MATHEMATICS**

Credit .5, Prereq: Algebra II

Credit .5, Prereq: Algebra II

This course is designed for students who want to continue their study of college preparatory math but do not plan to continue with Advanced Math. The first half of this course concentrates on reviewing and developing math topics that are essential for success on the SAT. Additional topics include consumer mathematics, fractals, probability and problem solving.

**360 AP CALCULUS**

Credit 1.5, Prereq: Department approval

Credit 1.5, Prereq: Department approval

This course is a college-level course in differential and integral calculus. Topics included, but are not limited to, functions and their graphs, limits and continuity, differentiation, integration, and applications. Graphing calculators are used extensively throughout the course and are required for the Advanced Placement exam. Students taking this course are expected to take the AP exam in the spring. Students may also apply for credit from the University of Connecticut by enrolling in the Guidance Office during the spring, prior to the start of this course.

**372 WEB PAGE DESIGN**

**Credit .5, Prereq: None**

This course is an introduction to web page design, layout and construction. It will introduce students to HTML coding skills, Cascading Style Sheets, a web page editor, JavaScript, and image creation software. After completing structured learning activities, students will plan and create a personal website demonstrating their understanding of the elements of design and coding they have learned.