This course is focused on a foundation of geometry and algebra, presented in a sequence. The 9^th-grade classes strengthen their previous foundations in Algebra I topics and move forward into topics and skills in Algebra II. These algebra topics spiral with core topics in geometry throughout the year. Note: Students entering Trevor in 9th grade should have completed Algebra I in 8th grade.

Algebra: Substitution • Simplifying Algebraic Expressions • Writing Expressions and Equations • Solving Linear Equations • Multiplying Binomials • Absolute Value/Inequalities • Solving and Factoring Quadratic Equations • Solving Systems of Equations

Coordinate Geometry: Number Lines and Inequalities • The (x,y) Coordinate Plane • Slope • Parallel and Perpendicular Lines • Forms for the Equation of a Line (slope-intercept, point-slope, standard) • Graphing Linear Equations, Inequalities, Absolute Value, Feasible Regions, and Quadratic Equations.

This course is a continued sequence of algebra and geometry. The course progresses to introduce topics of trigonometry and advanced topics in geometry. These topics move students toward an understanding and fluency with the connections between algebra and geometry—as well as introduces topics of precalculus and statistics. This course prepares students for precalculus in the 11th grade. Topics include:

Algebra II: Functions • Parametric and Vector Linear Equations • Matrices

Plane Geometry: Pythagorean Theorem • Distance and Midpoints • Angles and Lines • Triangles • Polygons • Circles • Simple Three-Dimensional Geometry • Transformations • Congruence and Similarity • Geometric Proof • Analytic Geometry Trigonometry: Trigonometric Ratios • Solving Triangles

This course extends topics introduced in the Algebra II unit in Grade 10 Math. Students learn to manipulate and apply more advanced functions and algorithms, many of which are modeled on real-world problems. Throughout the year, students add to the function family while studying inverses, relations, and algebraic application. Technology (including graphing calculators and computers) is also used to supplement and support concepts throughout the year.

This advanced-level course prepares students for calculus the following year. It extends topics introduced in the Algebra II unit in Grade 10 Math. Students learn to manipulate and apply more advanced functions and algorithms, many of which are modeled on real-world problems. Throughout the year, students add to the function family while studying inverses, relations, and algebraic application. Technology (including graphing calculators and computers) is also used to supplement and support concepts throughout the year.

This course is an introduction to the fundamental concepts of calculus, including an understanding of the concepts of limits, continuity, the definition of the derivative, the fundamental theorem of calculus, techniques and applications of differentiation, basic integration including substitution, and assorted applications of integration. An emphasis is made to understand these new concepts graphically, numerically, and algebraically.

This college-level course is structured around three big ideas: limits, derivatives, and integrals. Using inquiry-based methods, students will apply each of the three ideas to algebraic, trigonometric, logarithmic, exponential, and inverse functions. In addition to studying the concepts, students will learn to apply the same ideas to problems in physics, chemistry and engineering. This course builds heavily on many skills learned in geometry, algebra, trigonometry, and precalculus, and it connects them through several abstract concepts.

Calculus is the study of how things change. It is used to solve problems in mathematics, science, engineering, economics, medicine, and other fields. The course is divided into two major branches: differential calculus and integral calculus. Applications of differentials include physics problems involving velocity and acceleration. Integrals can be used to calculate the area enclosed within curved surfaces, the volumes of three-dimensional solids, or even the number of people who enter an amusement park over the course of a day. This course builds heavily on many skills learned in geometry, algebra, trigonometry, and precalculus; it connects them through several abstract concepts.

This course teaches students how to use mathematical models to analyze and draw conclusions about real-world data. The concepts and skills are useful in a wide range of future fields of study. The course includes topics such as describing data, normal distributions, experimental design, probability, and statistical inference. The computer is used extensively; as part of the course, each student builds their own general statistics calculator in their spreadsheet program that they will be able to use in college (and beyond) to carry out many statistical analysis procedures.

The Advanced Statistics course teaches students how to use complex and sophisticated mathematical models to analyze and draw conclusions about real-world data. The concepts and skills that are covered are useful in a wide range of future fields of study. The course topics are: describing data, normal distributions, correlation and regression, marginal tables, experimental design, probability, expected value, binomial distributions, inferential reasoning, and statistical inference methods, including confidence intervals/tests of significance for categorical and quantitative data, and the chi-square goodness of fit and tests of independence. The computer is used extensively; as part of the course, each student builds their own general statistics calculator in their spreadsheet program which they will be able to use in college (and beyond) to carry out many statistical analysis procedures. In this advanced course, students are expected to think deeply about statistical reasoning and apply their skills to a wide variety of real-world data.