# Mathematics

#### Pre-Algebra

Pre-Algebra focuses on the basic math skills and abstract thinking in preparation for algebra. The first semester is spent working on integers, fractions, decimals, and percents as well as manipulations such as addition, subtraction, multiplication, and division. Students expand their knowledge of numbers by discussing topics such as exponents, factors, ratios, proportions, patterns, equations, inequalities, triangles, area, and volume. The second semester introduces basic algebra including variables, algebraic expressions, functions, and graphing.

#### Algebra I

Algebra I students study the real number system and the basic structure of algebra. Major topics include solving linear equations and inequalities in one and two variables, systems of linear equations, laws of exponents, and basic factoring. Special attention is given to graphing and writing linear equations. *Requirement: Recommendation from 7th grade math teacher or a final grade of 70 or better in Pre-Algebra*

#### Geometry

Geometry students learn about axiomatic systems and to use inductive and deductive reasoning to develop geometric proofs. Students define, classify, and measure 2-D and 3-D figures. They study geometric relationships such as congruence and similarity. Students explore and develop the use of geometric modeling to solve problems. *Requirement: Final grade of 70 or better in Algebra I *

#### Algebra II/Advanced Algebra II

Algebra II/Advanced Algebra II students learn about the function concept, in terms of both equations and graphs, with emphasis placed on several major function types: linear, polynomial, rational, exponential, logarithmic, and piece-wise. The quadratic form is studied in detail, and students gain proficiency in solving contextual problems. Students in the advanced section study each topic in greater depth and are introduced to some precalculus topics.* Requirement: A final grade of 70 or better in Geometry. Placement in the advanced section requires a recommendation from the current math teacher*

#### Advanced Statistics

Advanced Statistics is an activity-based course. Students study how statistics are produced, used, and misused in business, government, psychology, law, sports, medicine, and other fields. There is an emphasis on how statistical information can be communicated or displayed effectively. Students will study probability models and how they are used in conjunction with survey and experiment design. Statistics is designed for students who are interested in the social sciences, business, education, or economics. *Requirement: A 70 or better in Precalculus or Statistics and Probability *

#### Calculus

Calculus students study the derivative and integral as the limiting results of infinite processes. They learn standard computational techniques, proofs of the major theorems, and methods for applying the theory to applications in the sciences. This course is designed for students who have a strong interest in mathematics or who plan to study science, engineering, business, or economics in college. Requirements: An 80 or better in Trigonometry and Math Analysis and the recommendation of the current math teacher

#### Algebra III: Functions and an Introduction to Trigonometry (Fall)

Algebra III: Functions and an Introduction to Trigonometry is designed to help students review, clarify, and refresh important ideas and skills from Algebra II. Students will garner a deeper understanding of linear, quadratic, exponential, logarithmic, and rational functions. In addition, students will learn basic principles and applications of trigonometry. They will work with angles of rotation as well as right angle trigonometry and the unit circle. *Requirement: A final grade of 70 or better in Algebra II or Advanced Algebra II *

#### Pre-calculus: Trigonometry (Fall)

Pre-calculus: Trigonometry prepares students for a course in calculus by studying the circular functions and their applications. They prove the major identities, become proficient at right triangle methods and solving trigonometric equations, and explore the analytic properties of trigonometric graphs. This course is designed for students who have a strong interest in mathematics or the sciences. *Requirement: A final grade of 85 or better in Algebra II, an 80 or better in Advanced Algebra II or Algebra III, or special approval from the math department*

#### Statistics and Probability (Spring)

Statistics and Probability is designed to be an introduction to elementary statistics. Students will learn how to interpret data, apply mathematical models to various scenarios, and use statistical inference to draw conclusions about populations. Students will also explore probability, learning counting principles and basic probability distributions. *Requirement: A final grade of 70 or better in Algebra II or Advanced Algebra II *

#### Pre-calculus: Math Analysis (Spring)

Pre-calculus: Math Analysis prepares students for calculus by studying function types, developing advanced problem-solving skills, and exploring limits and other foundational notions of calculus. This course is designed for students who have a strong interest in mathematics or who enjoy the hard sciences. *Requirement: A final grade of 85 or better in Algebra II, an 80 or better in Advanced Algebra II or Algebra III, or special approval from the math department*