# Mathematics Courses

### Algebra Skills

Full Year, 1.0 Credit

This course's focus is on improving basic mathematical skills and developing the study habits necessary to be successful in subsequent math courses. Emphasis will begin with computational skills, developing conceptual understanding and problem solving strategies. The intention for this course is to provide a working knowledge of basic algebra and boost mathematical confidence in general. Topics in Algebra Skills will include properties and operations with real numbers, solving equations and inequalities, simplifying exponents and polynomials, factoring and graphic linear equations, data analysis and statistical applications. This course differs from Algebra I in its pace and emphasis on fundamentals.

### Algebra I

Full Year, 1.0 Credit

In addition to transition and manipulation skills, students are involved in the application of mathematical concepts, critical thinking, and logical reasoning. Applications in equations, inequalities, graphing, linear functions, polynomials, rational functions and exponential functions engage students in critical thought in selection of approach and development of strategy in problem solving. Satisfies one of three required math credits. Placement is based on entrance exam scores.

### Algebra II

Full Year, 1.0 Credit

Begins with a review of Algebra 1. Skills of solving, graphing, and writing equations and inequalities expanded to solve systems of equations. Students build knowledge of quadratics through solving polynomials and simplifying rational expressions. Students introduced to graphing quadratic functions. Instruction reinforces and extends knowledge of Geometry. The goal of this course is to prepare students for Pre-Calculus. Pre-requisite is successful completion (C- or higher) of Algebra I and Geometry. Satisfies one of the three required math credits.

### Honors Algebra II and Trigonometry

Full Year, 1.0 Credit

Honors Algebra II is a rigorous study of functions that were introduced during algebra and geometry. Each function; including polynomial, rational, logarithmic, exponential, and trigonometric, will be examined and applied in context. Great emphasis will be placed upon correct algebraic operations, and graphing calculators will be used to augment instruction. Pre-requisites are mastery of Algebra I and Geometry and the recommendation of the department. Mastery of this class is appropriate preparation for AP Calculus AB. Satisfies one of the three required math credits for graduation.

### AP Calculus AB

Full Year, 1.0 Credit

Calculus applies five mathematical concepts to real world problems: functions, limits, continuity, derivatives and integrals. The course develops the skills necessary to support their application by analyzing all topics numerically, algebraically, and graphically. Students must successfully complete Pre-Calculus and have department recommendation. Designed to prepare students for the AP Calculus AB exam in the spring. Depending on the AP exam score, some colleges will transfer in college credits or count it as completion of a pre-requisite.

### AP Calculus BC

Full Year, 1.0 Credit

Continues to build from AP Calculus AB. In addition to the topics from last year, the course analyzes parametric, polar, and vector equations, planar motion, additional integration techniques and applications, and sequences and series. Students must successfully complete AP Calculus AB and have department recommendation. Designed to prepare students for the AP Calculus BC exam in the spring. Depending on the AP exam score, some colleges will transfer in college credits or count it as completion of a pre-requisite.

Geometry

Full Year, 1.0 Credit

Focuses on formalizing logical reasoning skills through theorems and postulates. Students develop an understanding of the relationship between figures and will gain understanding of reading and writing proofs. Instruction reinforces and extends knowledge of Algebra. Satisfies one of the three required math credits for graduation. Students must successfully complete Algebra I or pass a placement exam.

### Honors Geometry

Full Year, 1.0 Credit

Explores two major branches of mathematics. First is the study of logic and reasoning of math. Students gradually develop an understanding of deductive reasoning and formal proof. Second is the study of the properties of plane figures. Attention is given to real-life applications. Reinforces and extends the knowledge of algebra and satisfies one math credit. Placement is determined by successful completion of Algebra 1 and recommendation of the department.

### Pre-Calculus

Full Year, 1.0 Credit

Pre-Calculus is the study of functions through a graphical, algebraic, and numerical analysis. In addition to reviewing linear and quadratic functions, introduces polynomial functions of higher degree, rational, exponential, logarithmic, and trigonometric functions. Allows students to represent (model) natural phenomena. Students must successfully complete Algebra 2 and have department recommendation. This course satisfies one math credit.

**Advanced Math Applications for College**

1.0 Credit Full Year

This course is designed for students who have successfully completed Algebra II. Topics studied during the first semester include problem-solving and critical thinking, logic, voting, and apportionment, and probability. Second-semester topics include statistics in sports, medicine, and politics, consumer mathematics, and financial management. (this course does not hold honors distinction)

### AP Statistics

AP Statistics is an elective math course.

Students who successfully complete the course and score high enough on the AP exam may receive credit for a one-semester introductory college statistics course. The course will study and focus on four major themes: exploring data, sampling and experimentation, anticipating patterns and statistical inferences. As part of an effort to develop effective statistical communication skills, students will be frequently required to prepare written and oral analyses of real data. Students will develop strategies for collecting, organizing, analyzing and drawing conclusions from data. Students will design and administer surveys and experiments, and then they will tabulate and analyze results from these experiments. Students will also study probability, perform simulations and understand how sampling distributions are related to confidence intervals and hypothesis tests. (Prerequisite: “C" or better in Algebra 2 and teacher approval; graphing calculator required).

### Multivariable Vector Calculus

Topics this course will cover include vector functions, partial derivatives, the gradient, multiple integration, vector field analysis, line and surface integrals, and coordinate transformations between cylindrical, spherical, and cartesian coordinates. The prerequisites are instructor approval and recommendation from the student’s AB Calculus teacher. A score of 4 or 5 on the Calculus AB or BC test is preferred. Successful students will receive a portfolio documenting their work and a letter of recommendation suggesting they receive college credit for multivariable calculus at the university they choose to attend.

### Statistics and Trends in Mathematics

This course provides an introduction to statistical and trend analysis by focusing on the collection, analysis and use of data to examine real world topics such as politics, economics, and sports. Students will learn to formulate and test statistical hypotheses, as well as how data are produced, displayed and summarized, both numerically and graphically. Special emphasis will be placed upon algebraic function analysis, providing solid a preparation for college-level math courses. This is a senior elective with placement determined by department recommendation and satisfies one math credit.