# Mathematics

Mathematics is the language of creation, and students learn to use math to describe, explain, and anticipate what they observe and see in nature. Like poets who beautifully convey imagery and scenery, mathematicians skillfully portray a creation of order, consistency, and beauty. Classes balance both computational and problem-solving skills and focus on practical applications with realistic scenarios and solutions.

### Algebra I

This course covers real numbers, simplifying and factoring polynomial expressions, solving and understanding properties of linear and quadratic functions, and graphing. Topics also expand to include solving systems of linear equations and inequalities, and rational and irrational numbers. Algebra I is foundational for all advanced level math and science courses.

### Geometry

This course introduces the basic principles of Geometry and the development of proofs. It emphasizes and integrates logical and spatial visualization skills. The topics cover parallel lines and planes, congruent triangles, quadrilaterals, similar polygons, and circles. Students will find the area of plane figures and volumes of solids.

### Algebra II

This course extends the mathematical content of Algebra I and Geometry. The major topics covered are the following functions: linear, quadratic, polynomial, rational, and radical. Also covered are solving polynomial equations, investigating conic sections, defining and applying exponential and logarithmic functions, and analyzing sequences and series. An introduction to triangle trigonometry is also covered as a preview for Precalculus.

### Algebra II Honors

This course extends the mathematical content of Algebra I and Geometry. The major topics covered in Algebra 2 Honors are: linear functions, systems of linear equations and inequalities, quadratic functions, relations and functions, radical functions, exponential functions, logarithmic functions, polynomial functions, rational functions, trigonometric functions, sequences and series, statistics, and probability.

### Statistics

This course introduces students to the basic concepts and logic of statistical reasoning and gives the students introductory-level practical ability to choose, generate, and properly interpret appropriate descriptive and inferential methods. Students are introduced to the fundamental concepts involved in using sample data to make inferences about populations. Included are the study of measures of central tendency and dispersion, finite probability, probability distributions, statistical inferences from large and small samples, linear regression, and correlation.

### AP Statistics

This is a rigorous course that will introduce students to the fundamentals of gathering, organizing, and analyzing data, and use statistical methods to draw conclusions from that data. There is also a large emphasis on how to communicate analysis and conclusions in a clear and precise manner, using both verbal and written methods.

### Mathematical Reasoning with Connections (MRWC)

Mathematics may not always be easy to learn, but it should always make sense. MRWC is structured to highlight conceptual connections in the more advanced study of topics leading to calculus. Emphasis is given to conceptual understanding and making connections between numerical, symbolic, verbal, and graphical representations, discussion and analysis of alternative representations and multiple perspectives for approaching and understanding. The distinctiveness of MRWC lies in its unique design and topic sequencing, and in the emphasis on instructional delivery that promotes exploratory and collaborative student engagement. MRWC seamlessly interweaves the CCSS Mathematical Practices throughout the curriculum and develops key Habits of Mind and a mathematical disposition required for mastering advanced, challenging college-level content knowledge.

### Precalculus

Pre-Calculus overlaps with concepts covered in Algebra 2, diving deeper and preparing students to take Calculus courses in the future. The major topics covered in Pre-Calculus are functions and their graphs, including radical, exponential, logarithmic, polynomial, and rational functions; trigonometric properties; and an introduction to calculus principles, such as limits. Understanding of previous courses is expected and will be relevant to this course of study.

### Precalculus Honors

This honors class is a fast-paced course which involves a rigorous study of trigonometry, vectors in two and three dimensions, parametric equations, polar coordinates, and advanced algebraic topics such as polynomial and rational functions, exponential and logarithmic functions, analytic geometry, mathematical induction, sequences and series. The coursework is very applications oriented and will involve a great amount of work with word problems.

### Calculus AB

This course will cover aspects of trigonometry, precalculus, and calculus in order to prepare students for the rigors of a college calculus course. The main precalculus topics cover the following functions: polynomial, rational, trigonometric, exponential and logarithmic. The main calculus topics covered are limits, derivatives, applications of derivatives, and elementary integration.

### AP Calculus AB

This is a one-year course that covers the same material as the first semester of a college calculus course. The class will cover limits of functions, definition and applications of the derivative, definition, and applications of the definite integral, techniques of integration, infinite series, inverse trigonometric functions, and differential equations.

### AP Calculus BC

This is a college-level calculus course designed to meet the Advanced Placement curricular requirements for Calculus BC. The class will cover limits of functions, definition and applications of the derivative, definition, and applications of the definite integral, techniques of integration, infinite sequences and series, polynomial approximations of functions, and applications and modeling.